Citations for 2005

2005

Kanat Abdukhalikov, Unimodular Hermitian lattices, Mathematisches Forschungsinstitut Oberwolfach Report No. 1/2005 (2005), 27–30.
Amod Agashe and William Stein, Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero, Math. Comp. 74 (2005), no. 249, 455–484 (electronic).^[MR]
Scott Ahlgren and Ken Ono, Arithmetic of singular moduli and class polynomials, Compos. Math. 141 (2005), no. 2, 293–312.^[MR]
Toru Akishita, Masanobu Katagi, Izuru Kitamura, and Tsuyoshi Takagi, Some improved algorithms for hyperelliptic curve cryptosystems using degenerate divisors, Information Security and Cryptology. ICISC 2004: 7th International Conference, Seoul, Korea, December 2–3, 2004, Lecture Notes in Comput. Sci., vol. 3506, Springer, Berlin, 2005, pp. 296.
Sophie Ambrose, Matrix Groups: Theory, Algorithms and Applications, PhD Thesis, University of Western Australia, 2005.
Sophie Ambrose, Max Neunhöffer, Cheryl E. Praeger, and Csaba Schneider, Generalised sifting in black-box groups, LMS J. Comput. Math. 8 (2005), 217–250 (electronic).^[MR]
Jianbei An and E. A. O'Brien, The Alperin and Uno conjectures for the Fischer simple group Fi₂₂, Comm. Algebra 33 (2005), no. 5, 1529–1557.^[MR]
Marc A. Armand, List decoding of generalized Reed-Solomon codes over commutative rings, IEEE Trans. Inform. Theory 51 (2005), no. 1, 411–419.^[MR]
François Arnault and Thierry P. Berger, Design and properties of a new pseudorandom generator based on a filtered FCSR automaton, IEEE Trans. Comput 54 (2005), no. 11, 1374–1383.
Joseph L. Awange and Erik W. Grafarend, Solving Algebraic Computational Problems in Geodesy and Geoinformatics, Springer-Verlag, Berlin, 2005, pp. xviii+333.^[MR]
David H. Bailey and Jonathan M. Borwein, Experimental mathematics: Examples, methods and implications, Notices Amer. Math. Soc. 52 (2005), no. 5, 502–514.^[MR]
Matthew H. Baker, Enrique González-Jiménez, Josep González, and Bjorn Poonen, Finiteness results for modular curves of genus at least 2, Amer. J. Math. 127 (2005), no. 6, 1325–1387.^[MR]
Ayala Bar-Ilan, Tzviya Berrebi, Genadi Chereshnya, Ruth Leabovich, Mikhal Cohen, and Mary Schaps, Explicit tilting complexes for the Broué conjecture on 3-blocks, vol. 1, Cambridge University Press, 2005, pp. 8.^[link]
Richard William Barraclough, Some calculations related to the monster group, PhD Thesis, University of Birmingham, 2005.
Saugata Basu and Michael Kettner, Computing the Betti numbers of arrangements in practice, in Computer Algebra in Scientific Computing, Lecture Notes in Computer Science, vol. 3718, Springer Berlin/Heidelberg, 2005, pp. 13–31.
Ingrid Bauer, Fabrizio Catanese, and Fritz Grunewald, Beauville surfaces without real structures, Geometric Methods in Algebra and Number Theory, Progr. Math., vol. 235, Birkhäuser Boston, Boston, MA, 2005, pp. 1–42.^[MR]
Mark Bauer, Edlyn Teske, and Annegret Weng, Point counting on Picard curves in large characteristic, Math. Comp. 74 (2005), no. 252, 1983–2005 (electronic).^[MR]
Philip Boalch, Some explicit solutions to the Riemann-Hilbert problem, preprint (2005), 24 pages.^[arXiv]
Jens-Matthias Bohli, Rainer Steinwandt, María Isabel González Vasco, and Consuelo Martínez, Weak keys in MST₁, Des. Codes Cryptogr. 37 (2005), no. 3, 509–524.^[MR]
Alin Bostan, Thomas Cluzeau, and Bruno Salvy, Fast algorithms for polynomial solutions of linear differential equations, ISSAC'05: Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ACM, New York, 2005, pp. 45–52 (electronic).^[MR]
Nigel Boston, Reducing the Fontaine-Mazur conjecture to group theory, Progress in Galois theory, Dev. Math., vol. 12, Springer, New York, 2005, pp. 39–50.^[MR]
Mireille Boutin and Gregor Kemper, On reconstructing configurations of points in P² from a joint distribution of invariants, Appl. Algebra Engrg. Comm. Comput. 15 (2005), no. 6, 361–391.^[MR]
An Braeken, Christopher Wolf, and Bart Preneel, A study of the security of unbalanced oil and vinegar signature schemes, Topics in Cryptology—CT-RSA 2005, Lecture Notes in Comput. Sci., vol. 3376, Springer, Berlin, 2005, pp. 29–43.^[MR]
John N. Bray, John S. Wilson, and Robert A. Wilson, A characterization of finite soluble groups by laws in two variables, Bull. London Math. Soc. 37 (2005), no. 2, 179–186.^[MR]
John Brevik and Michael E. O'Sullivan, The performance of LDPC codes with large girth, Preprint (2005), 13 pages.
Friederike Brezing and Annegret Weng, Elliptic curves suitable for pairing based cryptography, Des. Codes Cryptogr. 37 (2005), no. 1, 133–141.^[MR]
Thomas Britz and Carrie G. Rutherford, Covering radii are not matroid invariants, Discrete Math. 296 (2005), no. 1, 117–120.^[MR]
Ezra Brown, Bruce T. Myers, and Jerome A. Solinas, Hyperelliptic curves with compact parameters, Des. Codes Cryptogr. 36 (2005), no. 3, 245–261.^[MR]
R. F. Brown, M. Furi, L. Górniewicz, and B. Jiang (eds.), Handbook of Topological Fixed Point Theory, Springer, Dordrecht, 2005, pp. x+971.^[MR/link]
Nils Bruin, The primitive solutions to x³+y⁹=z², J. Number Theory 111 (2005), no. 1, 179–189.^[MR]
Nils Bruin and E. Victor Flynn, Towers of 2-covers of hyperelliptic curves, Trans. Amer. Math. Soc. 357 (2005), no. 11, 4329–4347 (electronic).^[MR]
Robert R. Bruner, Lê M. Hà, and Nguyên H. V. Hung, On the behavior of the algebraic transfer, Trans. Amer. Math. Soc. 357 (2005), no. 2, 473–487 (electronic).^[MR]
Anita Buckley and Balázs Szendröi, Orbifold Riemann-Roch for threefolds with an application to Calabi-Yau geometry, J. Algebraic Geom. 14 (2005), no. 4, 601–622.^[MR]
Francis Buekenhout, All geometries for the smallest sporadic groups, Mathematisches Forschungsinstitut Oberwolfach Report No. 12/2005 (2005), 685–687.
Yann Bugeaud, Florian Luca, Maurice Mignotte, and Samir Siksek, On Fibonacci numbers with few prime divisors, Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 2, 17–20.^[MR]
Yann Bugeaud, Florian Luca, Maurice Mignotte, and Samir Siksek, On perfect powers in Lucas sequences, Int. J. Number Theory 1 (2005), no. 3, 309–332.^[MR]
J. Buhler and Z. Reichstein, Symmetric functions and the phase problem in crystallography, Trans. Amer. Math. Soc. 357 (2005), no. 6, 2353–2377 (electronic).^[MR]
Laurent Busé and Marc Chardin, Implicitizing rational hypersurfaces using approximation complexes, J. Symbolic Comput. 40 (2005), no. 4-5, 1150–1168.^[MR]
Kevin Buzzard, Questions about slopes of modular forms, Astérisque (2005), no. 298, 1–15.^[MR]
Kevin Buzzard and L. J. P. Kilford, The 2-adic eigencurve at the boundary of weight space, Compos. Math. 141 (2005), no. 3, 605–619.^[MR]
Bryden Cais, Serre's conjectures, Preprint (2005), 21 pages.^[link]
J. S. Calcut, Knot theory and the Casson invariant in the Artin presentation theory, Fundam. Prikl. Mat. 11 (2005), no. 4, 119–126.^[MR]
Peter J. Cameron, Partitions and permutations, Discrete Math. 291 (2005), no. 1-3, 45–54.^[MR]
John J. Cannon, Derek F. Holt, Michael Slattery, and Allan K. Steel, Computing subgroups of bounded index in a finite group, J. Symbol. Comput. 40 (2005), no. 2, 1013–1022.^[MR]
Robert Carls, Theta null points of 2-adic canonical lifts, preprint (2005), 18 pages.^[arXiv]
Jon F. Carlson, Coclass and cohomology, J. Pure Appl. Algebra 200 (2005), no. 3, 251–266.^[MR]
Jon F. Carlson, Cohomology, computations, and commutative algebra, Notices Amer. Math. Soc. 52 (2005), no. 4, 426–434.^[MR]
Jon F. Carlson and Jacques Thévenaz, The classification of torsion endo-trivial modules, Ann. of Math. (2) 162 (2005), no. 2, 823–883.^[MR]
Pierre Cartier, Combinatorics of trees, Surveys in modern mathematics, London Math. Soc. Lecture Note Ser., vol. 321, Cambridge Univ. Press, Cambridge, 2005, pp. 274–282.^[MR]
Denis Charles and Kristin Lauter, Computing modular polynomials, LMS J. Comput. Math. 8 (2005), 195–204 (electronic).^[MR]
Imin Chen, A Diophantine equation associated to X₀(5), LMS J. Comput. Math. 8 (2005), 116–121 (electronic).^[MR]
Jiun-Ming Chen and Bo-Yin Yang, All in the XL family: theory and practice, Information Security and Cryptology. ICISC 2004: 7th International Conference, Seoul, Korea, December 2–3, 2004, Lecture Notes in Comput. Sci., vol. 3506, Springer, Berlin, 2005, pp. 296.
Jiun-Ming Chen and Bo-Yin Yang, Building secure tame-like multivariate public-key cryptosystems: the new TTS, Information Security and Privacy: 10th Australasian Conference, ACISP 2005, Brisbane, Australia, July 4-6, 2005. Proceedings, Lecture Notes in Comput. Sci., vol. 3574, Springer, Berlin, 2005, pp. 518.
Kyo Il Chung, Mun-Kyu Lee, Kunsoo Park, and Tae Jun Park, Speeding up scalar multiplication in genus 2 hyperelliptic curves with efficient endomorphisms, ETRI 27 (2005), no. 5, 617–627.
C. Cid, S. Murphy, and M. Robshaw, Small scale variants of the AES, in LNCS 3557, Eds. Gilbert, H. and Handschuh, H., Springer, 2005, pp. 145-162.
Stephen D. Cohen, Finite field elements with specified order and traces, Des. Codes Cryptogr. 36 (2005), no. 3, 331–340.^[MR]
Marston Conder and Peter Dobcsányi, Applications and adaptations of the low index subgroups procedure, Math. Comp. 74 (2005), no. 249, 485–497 (electronic).^[MR]
Marston Conder and Colin Maclachlan, Compact hyperbolic 4-manifolds of small volume, Proc. Amer. Math. Soc. 133 (2005), no. 8, 2469–2476 (electronic).^[MR]
Marston Conder, Aleksander Malnič, Dragan Marušič, Tomaž Pisanski, and Primož Potočnik, The edge-transitive but not vertex-transitive cubic graph on 112 vertices, J. Graph Theory 50 (2005), no. 1, 25–42.^[MR]
B. Conrad, K. Conrad, and H. Helfgott, Root numbers and ranks in positive characteristic, Adv. Math. 198 (2005), no. 2, 684–731.^[MR]
Scott Contini and Igor E. Shparlinski, On Stern's attack against secret truncated linear congruential generators, Information Security and Privacy, Lecture Notes in Computer Science, vol. 3574, Springer Berlin / Heidelberg, 2005, pp. 52–60.
Gunther Cornelissen, Thanases Pheidas, and Karim Zahidi, Division-ample sets and the Diophantine problem for rings of integers, J. Théor. Nombres Bordeaux 17 (2005), no. 3, 727–735.^[MR]
Antonio Cossidente and Tim Penttila, Hemisystems on the Hermitian surface, J. London Math. Soc. (2) 72 (2005), no. 3, 731–741.^[MR]
David A. Cox, John Little, and Donal O'Shea, Using Algebraic Geometry, Graduate Texts in Mathematics, vol. 185, Springer, New York, 2005, pp. xii+572.^[MR]
S. Cui, P. Duan, and C. W. Chan, A new method of building more non-supersingular elliptic curves, Computational Science and Its Applications, Lecture Notes in Comput. Sci., vol. 3481, Springer, Berlin, 2005, pp. 657.
Craig Culbert and Gary L. Ebert, Circle geometry and three-dimensional subregular translation planes, Innov. Incidence Geom. 1 (2005), 3–18.^[MR]
Alexander A. Davydov, Giorgio Faina, Stefano Marcugini, and Fernanda Pambianco, Computer search in projective planes for the sizes of complete arcs, J. Geom. 82 (2005), no. 1-2, 50–62.^[MR]
Lassina Dembélé, Explicit computations of Hilbert modular forms on Q(√5), Experiment. Math. 14 (2005), no. 4, 457–466.^[MR]
Alice Devillers, A classification of finite partial linear spaces with a primitive rank 3 automorphism group of almost simple type, Innov. Incidence Geom. 2 (2005), 129–175.^[MR]
Francisco Diaz y Diaz, Jean-François Jaulent, Sebastian Pauli, Michael Pohst, and Florence Soriano-Gafiuk, A new algorithm for the computation of logarithmic l-class groups of number fields, Experiment. Math. 14 (2005), no. 1, 65–74.^[MR]
Claus Diem, Index calculus in class groups of plane curves of small degree, Preprint (2005), 43 pages.
Luis V. Dieulefait, Solving Diophantine equations x⁴+y⁴=qz^p, Acta Arith. 117 (2005), no. 3, 207–211.^[MR]
Marten van Dijk, Sebastian Egner, Marcus Greferath, and Alfred Wassermann, On two doubly even self-dual binary codes of length 160 and minimum weight 24, IEEE Trans. Inform. Theory 51 (2005), no. 1, 408–411.^[MR]
L. Di Martino, A. Previtali, and R. Radina, Sets of transvections generating subgroups isomorphic to special linear groups, Comm. Algebra 33 (2005), no. 6, 1663–1691.^[MR]
J. Ding, J. E. Gower, D. Schmidt, C. Wolf, and Z. Yin, Complexity estimates for the F₄ attack on the perturbed Matsumoto-Imai cryptosystem, Cryptography and coding, Lecture Notes in Comput. Sci., vol. 3796, Springer, Berlin, 2005, pp. 262–277.^[MR]
Jintai Ding and Dieter Schmidt, Cryptanalysis of HFEv and internal perturbation of HFE, Public Key Cryptography—PKC 2005, Lecture Notes in Comput. Sci., vol. 3386, Springer, Berlin, 2005, pp. 288–301.^[MR]
Jean-Guillaume Dumas, Clément Pernet, and Zhendong Wan, Efficient computation of the characteristic polynomial, ISSAC'05: Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ACM, New York, 2005, pp. 140–147 (electronic).^[MR/arXiv]
Régis Dupont, Andreas Enge, and François Morain, Building curves with arbitrary small MOV degree over finite prime fields, J. Cryptology 18 (2005), no. 2, 79–89.^[MR]
Bettina Eick, Computational group theory, Jahresber. Deutsch. Math.-Verein. 107 (2005), no. 3, 155–170.^[MR/link]
Patrick Felke, Computing the uniformity of power mappings: a systematic approach with the multi-variate method over finite fields of odd characteristic, PhD Thesis, Ruhr Universität Bochum, 2005.
D. L. Flannery and E. A. O'Brien, Linear groups of small degree over finite fields, Internat. J. Algebra Comput. 15 (2005), no. 3, 467–502.^[MR]
Robert Fraatz, Computation of maximal orders of cyclic extensions of function fields, PhD Thesis, Technischen Universtät Berlin, 2005.
Philippe Gaborit and Oliver D. King, Linear constructions for DNA codes, Theoret. Comput. Sci. 334 (2005), no. 1-3, 99–113.^[MR]
Philippe Gaborit, Carmen-Simona Nedeloaia, and Alfred Wassermann, On the weight enumerators of duadic and quadratic residue codes, IEEE Trans. Inform. Theory 51 (2005), no. 1, 402–407.^[MR]
P. Gaudry, Fast genus 2 arithmetic based on theta functions, J. Ramanujan Math. Soc. (2005), no. 4, 20 pages.
P. Gaudry and É. Schost, Modular equations for hyperelliptic curves, Math. Comp. 74 (2005), no. 249, 429–454 (electronic).^[MR]
Volker Gebhardt, A new approach to the conjugacy problem in Garside groups, J. Algebra 292 (2005), no. 1, 282–302.^[MR]
University of Georgia VIGRE Algebra Group, Varieties of nilpotent elements for simple Lie algebras. II. Bad primes, J. Algebra 292 (2005), no. 1, 65–99.^[MR]
S. Georgiou and C. Koukouvinos, Some results on orthogonal designs and Hadamard matrices, Int. J. Appl. Math. 17 (2005), no. 4, 433–443.^[MR]
Vladimir P. Gerdt, Involutive algorithms for computing Gröbner bases, Computational Commutative and Non-commutative Algebraic Geometry, NATO Sci. Ser. III Comput. Syst. Sci., vol. 196, IOS, Amsterdam, 2005, pp. 199–225.^[MR/link]
Eknath Ghate, Enrique González-Jiménez, and Jordi Quer, On the Brauer class of modular endomorphism algebras, Int. Math. Res. Not. (2005), no. 12, 701–723.^[MR]
Martine Girard and Leopoldo Kulesz, Computation of sets of rational points of genus-3 curves via the Demjanenko-Manin method, LMS J. Comput. Math. 8 (2005), 267–300 (electronic).^[MR]
Josep González, Jordi Guàrdia, and Victor Rotger, Abelian surfaces of GL₂-type as Jacobians of curves, Acta Arith. 116 (2005), no. 3, 263–287.^[MR]
Neil A. Gordon, Trevor M. Jarvis, and Ron Shaw, Aspects of the linear groups GL(n,2), n < 7, J. Combin. Math. Combin. Comput. 53 (2005), 13–31.^[MR]
Aline Gouget, Hervé Sibert, Come Berbain, Nicolas Courtois, Blandine Debraize, and Chris Mitchell, Analysis of the bit-search generator and sequence compression techniques, in Fast Software Encryption, Lecture Notes in Computer Science, vol. 3557, Springer-Verlag, Berlin, 2005, pp. 196–214.
Willem A. de Graaf, Classification of solvable Lie algebras, Experiment. Math. 14 (2005), no. 1, 15–25.^[MR]
R. Granger and F. Vercauteren, On the discrete logarithm problem on algebraic tori, Crypto 2005: 25th Annual International Cryptology Conference (Santa Barbara, Cal., Lecture Notes in Comput. Sci., vol. 3621, Springer, Berlin, 2005, pp. 66.
Markus Grassl, Tomography of quantum states in small dimensions, in Proceedings of the Workshop on Discrete Tomography and its Applications, Electron. Notes Discrete Math., vol. 20, Elsevier, Amsterdam, 2005, pp. 151–164 (electronic).^[MR]
Markus Grassl and Martin Rötteler, Quantum block and convolutional codes from self-orthogonal product codes, in Proceedings 2005 IEEE International Symposium on Information Theory (ISIT 2005), 2005, pp. 1018-1022.^[arXiv]
Markus Grassl and Greg White, New codes from chains of quasi-cyclic codes, in IEEE International Symposium on Information Theory (ISIT), Adelaide, 2005.
T. Aaron Gulliver, Masaaki Harada, Takuji Nishimura, and Patric R. J. Östergård, Near-extremal formally self-dual even codes of lengths 24 and 32, Des. Codes Cryptogr. 37 (2005), no. 3, 465–471.^[MR]
Nicolas Gürel, Extracting bits from coordinates of a point of an elliptic curve, IACR (2005), 9 pages.^[eprint]
K. Győry and Á. Pintér, Almost perfect powers in products of consecutive integers, Monatsh. Math. 145 (2005), no. 1, 19–33.^[MR]
K. Győry and Á. Pintér, Correction to the paper: "Almost perfect powers in products of consecutive integers", Monatsh. Math. 146 (2005), no. 4, 341.^[MR]
Farshid Hajir, On the Galois group of generalized Laguerre polynomials, J. Théor. Nombres Bordeaux 17 (2005), no. 2, 517–525.^[MR]
Farshid Hajir, Tame pro-p Galois groups: A survey of recent work, Arithmetic, Geometry and Coding Theory (AGCT 2003), Sémin. Congr., vol. 11, Soc. Math. France, Paris, 2005, pp. 111–124.^[MR]
Emmanuel Hallouin, Study and computation of a Hurwitz space and totally real PSL₂(F₈)-extensions of Q, J. Algebra 292 (2005), no. 1, 259–281.^[MR]
Timo Hanke, A twisted Laurent series ring that is a noncrossed product, Israel J. Math. 150 (2005), 199–203.^[MR]
Brian Hansen, Explicit computations supporting a generalization of Serre's conjecture, Master's Thesis, Brigham Young University, 2005.
Masaaki Harada, On the self-dual F₅-codes constructed from Hadamard matrices of order 24, J. Combin. Des. 13 (2005), no. 2, 152–156.^[MR]
Masaaki Harada, Masaaki Kitazume, Akihiro Munemasa, and Boris Venkov, On some self-dual codes and unimodular lattices in dimension 48, European J. Combin. 26 (2005), no. 5, 543–557.^[MR]
Masaaki Harada, Clement Lam, and Vladimir D. Tonchev, Symmetric (4,4)-nets and generalized Hadamard matrices over groups of order 4, Des. Codes Cryptogr. 34 (2005), no. 1, 71–87.^[MR]
Michael Ian Hartley and Dimitri Leemans, On the thin regular geometries of rank four for the Janko group J₁, Innov. Incidence Geom. 1 (2005), 181–190.^[MR]
George Havas and M. R. Vaughan-Lee, 4-Engel groups are locally nilpotent, Internat. J. Algebra Comput. 15 (2005), no. 4, 649–682.^[MR]
F. Hess, Weil descent attacks, Advances in Elliptic Curve Cryptography, London Math. Soc. Lecture Note Ser., vol. 317, Cambridge Univ. Press, Cambridge, 2005, pp. 151–180.^[MR]
R. J. Higgs, The bad behavior of representation groups, J. Algebra Appl. 4 (2005), no. 2, 139–151.^[MR]
Derek F. Holt, Bettina Eick, and Eamonn A. O'Brien, Handbook of Computational Group Theory, Discrete Mathematics and its Applications (Boca Raton), Chapman &Hall/CRC, Boca Raton, FL, 2005, pp. xvi+514.^[MR]
Derek F. Holt and Colva M. Roney-Dougal, Constructing maximal subgroups of classical groups, LMS J. Comput. Math. 8 (2005), 46–79 (electronic).^[MR]
Naoyuki Horiguchi, Hiroyuki Nakasora, and Takehisa Wakabayashi, On the strongly regular graphs obtained from quasi-symmetric 2-(31,7,7) designs, Bull. Yamagata Univ. Natur. Sci. 16 (2005), no. 1, 1–6.^[MR]
Everett W. Howe, Infinite families of pairs of curves over Q with isomorphic Jacobians, J. London Math. Soc. (2) 72 (2005), no. 2, 327–350.^[MR]
Everett W. Howe, Kristin E. Lauter, and Jaap Top, Pointless curves of genus three and four, Arithmetic, Geometry and Coding Theory (AGCT 2003), Sémin. Congr., vol. 11, Soc. Math. France, Paris, 2005, pp. 125–141.^[MR]
Xinchuan Huang, Bastiaan J. Braams, and Joel M. Bowman, Ab initio potential energy and dipole moment surfaces for H₅O₂+, J. Chem. Phys 122 (2005), no. 044308, 12 pages.
Klaus Hulek and Helena Verrill, On modularity of rigid and nonrigid Calabi-Yau varieties associated to the root lattice A₄, Nagoya Math. J. 179 (2005), 103–146.^[MR]
Klaus Hulek and Helena A. Verrill, On the motive of Kummer varieties associated to Γ₁(7)— Supplement to the paper: "The modularity of certain non-rigid Calabi-Yau threefolds" by R. Livné and N. Yui, J. Math. Kyoto Univ. 45 (2005), no. 4, 667–681.^[MR/link]
Alexander Hulpke, Constructing transitive permutation groups, J. Symbolic Comput. 39 (2005), no. 1, 1–30.^[MR]
I. M. Isaacs and Dikran B. Karagueuzian, Involutions and characters of upper triangular matrix groups, Math. Comp. 74 (2005), no. 252, 2027–2033 (electronic).^[MR]
G. Jäger, Reduction of Smith normal form transformation matrices, Computing 74 (2005), no. 4, 377–388.^[MR]
Christoph Jansen, The minimal degrees of faithful representations of the sporadic simple groups and their covering groups, LMS J. Comput. Math. 8 (2005), 122–144 (electronic).^[MR]
Mikael Johansson, Computation of Poincaré-Betti series for monomial rings, Rend. Istit. Mat. Univ. Trieste 37 (2005), no. 1-2, 85–94 (2006).^[MR]
Antoine Joux, Sébastien Kunz-Jacques, Frédéric Muller, and Pierre-Michel Ricordel, Cryptanalysis of the tractable rational map cryptosystem, Public Key Cryptography—PKC 2005, Lecture Notes in Comput. Sci., vol. 3386, Springer, Berlin, 2005, pp. 258–274.^[MR]
David Joyner and Amy Ksir, Modular representations on some Riemann-Roch spaces of modular curves X(N), Computational Aspects of Algebraic Curves, Lecture Notes Ser. Comput., vol. 13, World Sci. Publ., Hackensack, NJ, 2005, pp. 163–205.^[MR]
David Joyner and William Stein, SAGE: System for algebra and geometry experimentation, SIGSAM Bull. 39 (2005), no. 2, 61–64.
Sadok Kallel and Denis Sjerve, On the group of automorphisms of cyclic covers of the Riemann sphere, Math. Proc. Cambridge Philos. Soc. 138 (2005), no. 2, 267–287.^[MR]
Kiran S. Kedlaya, Computing zeta functions of surfaces, Mathematisches Forschungsinstitut Oberwolfach Report 32 (2005), 1808–1810.
J. D. Key, T. P. McDonough, and V. C. Mavron, Partial permutation decoding for codes from finite planes, European J. Combin. 26 (2005), no. 5, 665–682.^[MR]
J. D. Key, J. Moori, and B. G. Rodrigues, Some binary codes from symplectic geometry of odd characteristic, Util. Math. 67 (2005), 121–128.^[MR]
Masanari Kida, Kummer theory for norm algebraic tori, J. Algebra 293 (2005), no. 2, 427–447.^[MR]
Jennifer de Kleine, Michael Monagan, and Allan Wittkopf, Algorithms for the non-monic case of the sparse modular GCD algorithm, Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation: ISSAC'05, ACM, New York, 2005, pp. 124–131 (electronic).^[MR]
Ingo Herbert Klöcker, Modular forms for the orthogonal group O(2,5), PhD Thesis, 2005.
Jürgen Klüners and Sebastian Pauli, Computing residue class rings and Picard groups of orders, J. Algebra 292 (2005), no. 1, 47–64.^[MR]
Martin Kohls, Invarianten zusammenhaengender gruppen und die Cohen-Macaulay eigenschaft, Master's Thesis, Technische Universitaet Muechen, 2005.
Kenji Koike and Annegret Weng, Construction of CM Picard curves, Math. Comp. 74 (2005), no. 249, 499–518 (electronic).^[MR]
Marjeta Kramar, The structure of irreducible matrix groups with submultiplicative spectrum, Linear Multilinear Algebra 53 (2005), no. 1, 13–25.^[MR]
A. Krieg, The graded ring of quaternionic modular forms of degree 2, Math. Z. 251 (2005), no. 4, 929–942.^[MR]
P. H. Kropholler, S. Mohseni Rajaei, and J. Segal, Invariant rings of orthogonal groups over \bf F₂, Glasg. Math. J. 47 (2005), no. 1, 7–54.^[MR]
M. Künzer and H. Weber, Some additive Galois cohomology rings, Comm. Algebra 33 (2005), no. 12, 4415–4455.^[MR]
Matthias Künzer and Andrew Mathas, Elementary divisors of Specht modules, European J. Combin. 26 (2005), no. 6, 943–964.^[MR]
Matthias Künzer and Eduard Wirsing, On coefficient valuations of Eisenstein polynomials, J. Théor. Nombres Bordeaux 17 (2005), no. 3, 801–823.^[MR]
K. Kutnar, A. Malnič, and Dragan Marušič, Chirality of toroidal molecular graphs, J. Chem. Inf. Model. 45 (2005), no. 6, 1527-1535.^[MR]
Jeffrey C. Lagarias and Eric Rains, Dynamics of a family of piecewise-linear area-preserving plane maps. II. Invariant circles, J. Difference Equ. Appl. 11 (2005), no. 13, 1137–1163.^[MR/link]
Tanja Lange, Formulae for arithmetic on genus 2 hyperelliptic curves, Appl. Algebra Engrg. Comm. Comput. 15 (2005), no. 5, 295–328.^[MR]
Tanja Lange and Marc Stevens, Efficient doubling on genus two curves over binary fields, Selected Areas in Cryptography, Lecture Notes in Comput. Sci., vol. 3357, Springer, Berlin, 2005, pp. 170–181.^[MR]
Sonja Lauer, Entwurf von Algorithmen zur Konstruktion von Differentialgleichungen mit vorgegebener endlicher Galoisgruppe, Master's Thesis, Universität Karlsruhe, 2005.
Dimitri Leemans, A generalization of a construction due to Van Nypelseer, Beiträge Algebra Geom. 46 (2005), no. 2, 561–574.^[MR]
Dimitri Leemans, The residually weakly primitive geometries of HS, Australas. J. Combin. 33 (2005), 231–236.^[MR]
Dimitri Leemans, Two rank six geometries for the Higman-Sims sporadic group, Discrete Math. 294 (2005), no. 1-2, 123–132.^[MR]
Wolfgang Lempken and Tran van Trung, On minimal logarithmic signatures of finite groups, Experiment. Math. 14 (2005), no. 3, 257–269.^[MR]
Chong Jie Lim, Consta-abelian polyadic codes, IEEE Trans. Inform. Theory 51 (2005), no. 6, 2198–2206.^[MR]
Mark Lingham, Modular Forms and Elliptic Curves over Imaginary Quartic Fields, PhD Thesis, University of Nottingham, 2005.
John Little and Ryan Schwarz, On m-dimensional toric codes, preprint (2005), 17 pages.^[arXiv]
J. Löfvenberg, Binary fingerprinting codes, Des. Codes Cryptogr. 36 (2005), no. 1, 69–81.^[MR]
P. Loidreau and V. Shorin, Application of Gröbner bases techniques for searching new sequences with good periodic correlation properties, in IEEE International Symposium on Information Theory (ISIT), Adelaide, 2005.
Martin Lorenz, Multiplicative Invariant Theory, Encyclopaedia of Mathematical Sciences, vol. 135, Springer-Verlag, Berlin, 2005, pp. xii+177.^[MR]
Arturo Magidin, Capability of nilpotent products of cyclic groups, J. Group Theory 8 (2005), no. 4, 431–452.^[MR/arXiv]
Stefano Marcugini, Alfredo Milani, and Fernanda Pambianco, Maximal (n,3)-arcs in PG(2,13), Discrete Math. 294 (2005), no. 1-2, 139–145.^[MR]
Gretchen L. Matthews, Some computational tools for estimating the parameters of algebraic geometry codes, Coding Theory and Quantum Computing, Contemp. Math., vol. 381, Amer. Math. Soc., Providence, RI, 2005, pp. 19–26.^[MR]
Gretchen L. Matthews and Todd W. Michel, One-point codes using places of higher degree, IEEE Trans. Inform. Theory 51 (2005), no. 4, 1590–1593.^[MR]
Gary McGuire and José Felipe Voloch, Weights in codes and genus 2 curves, Proc. Amer. Math. Soc. 133 (2005), no. 8, 2429–2437 (electronic).^[MR]
Stephen McMath, Parallel integer factorization using quadratic forms, Technical Report (2005), 132 pages.
Nele Mentens, Lejla Batina, Bart Preneel, and Ingrid Verbauwhede, A systematic evaluation of compact hardware implementations for the Rijndael S-box, Topics in Cryptology—CT-RSA 2005, Lecture Notes in Comput. Sci., vol. 3376, Springer, Berlin, 2005, pp. 323–333.^[MR]
Gerhard O. Michler and Andrea Previtali, Another existence and uniqueness proof for the Higman-Sims simple group, Algebra Colloq. 12 (2005), no. 3, 369–398.^[MR]
Vanessa Miemietz, On representations of affine hecke algebras of type B, PhD Thesis, Universität Stuttgart, 2005.
Jesper M. Moeller, N-determined 2-compact groups, preprint (2005), 115 pages.^[arXiv]
Jamshid Moori and B. G. Rodrigues, A self-orthogonal doubly even code invariant under McL : 2, J. Combin. Theory Ser. A 110 (2005), no. 1, 53–69.^[MR]
Bernard Mourrain, Generalized normal forms and polynomial system solving, ISSAC'05: Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ACM, New York, 2005, pp. 253–260 (electronic).^[MR]
Gabriele Nebe and Maria Teider, Hecke actions on certain strongly modular genera of lattices, Arch. Math. (Basel) 84 (2005), no. 1, 46–56.^[MR]
Gabriele Nebe and Boris Venkov, Low-dimensional strongly perfect lattices I: The 12-dimensional case, Enseign. Math. (2) 51 (2005), no. 1-2, 129–163.^[MR]
Phong Q. Nguên and Damien Stehlé, Floating-point LLL revisited, Advances in cryptology—EUROCRYPT 2005, Lecture Notes in Comput. Sci., vol. 3494, Springer, Berlin, 2005, pp. 215–233.^[MR]
V. Niculescu and G. S. Moldovan, Building an object oriented computational algebra system based on design patterns, in SYNASC 2005: Symbolic and Numeric Algorithms for Scientific Computing, 2005, 2005, 8 pages.^[doi]
Alice C. Niemeyer, Constructive recognition of normalizers of small extra-special matrix groups, Internat. J. Algebra Comput. 15 (2005), no. 2, 367–394.^[MR]
E. A. O'Brien and M. R. Vaughan-Lee, The groups with order p⁷ for odd prime p, J. Algebra 292 (2005), no. 1, 243–258.^[MR]
Alen Orbanić, Parallel-product decomposition of edge-transitive maps, preprint (2005), 30 pages.^[arXiv]
Ferruh Özbudak, Elements of prescribed order, prescribed traces and systems of rational functions over finite fields, Des. Codes Cryptogr. 34 (2005), no. 1, 35–54.^[MR]
Ariel Pacetti and Fernando Rodriguez Villegas, Computing weight 2 modular forms of level p², Math. Comp. 74 (2005), no. 251, 1545–1557 (electronic).^[MR]
Mihran Papikian, On the variation of Tate-Shafarevich groups of elliptic curves over hyperelliptic curves, J. Number Theory 115 (2005), no. 2, 249–283.^[MR]
Ludovic Perret, A fast cryptanalysis of the isomorphism of polynomials with one secret problem, in Advances in Cryptology - Eurocrypt 2005, Lecture Notes in Computer Science, vol. 3494, Springer Berlin/Heidelberg, 2005, pp. 354–370.
Tomaz Pisanski, Marko Boben, and Arjana Zitnik, Interactive conjecturing with VEGA, Fajtlowicz, Siemion (ed.) et al., Graphs and Discovery, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 69, American Mathematical Society (AMS), Providence, RI, 2005, pp. 351–364.
W. Plesken and D. Robertz, Constructing invariants for finite groups, Experiment. Math. 14 (2005), no. 2, 175–188.^[MR]
Andrea Previtali, Unitriangular actions on quadratic forms and character degrees, Linear Algebra Appl. 408 (2005), 120–150.^[MR]
I. K. Redchuk, Finite-dimensionality and growth of algebras defined by polylinearly connected generators, Ukraïn. Mat. Zh. 57 (2005), no. 10, 1435–1440.^[MR]
Guyan Robertson, Torsion in boundary coinvariants and K-theory for affine buildings, K-Theory 33 (2005), no. 4, 347–369.^[MR]
Colva M. Roney-Dougal, The primitive permutation groups of degree less than 2500, J. Algebra 292 (2005), no. 1, 154–183.^[MR]
Mohamed Sayed, Coset enumeration of groups generated by symmetric sets of involutions, Int. J. Math. Math. Sci. (2005), no. 23, 3739–3750.^[MR]
Mohamed Sayed, Double-coset enumeration algorithm for symmetrically generated groups, Int. J. Math. Math. Sci. (2005), no. 5, 699–715.^[MR]
Werner Schindler and Le Van Ly, How to embed short cycles into large nonlinear feedback-shift registers, Security in Communications Networks: 4th International Conference, SCN 2004, Amalfi, Italy, September 8-10, 2004, Revised Selected Papers, Lecture Notes in Comput. Sci., vol. 3352, Springer, Berlin, 2005, pp. 367.
René Schoof, Arakelov class groups and ideal lattices, Mathematisches Forschungsinstitut Oberwolfach Report No. 1/2005 (2005), 23–24.
Andreas M. Schöpp, Über torsionspunkte elliptischer und hyperelliptischer kurven nebst anwendungen, PhD Thesis, Technische Universitaet Berlin,, 2005.
Achill Schürmann and Frank Vallentin, Local covering optimality of lattices: Leech lattice versus root lattice E₈, Int. Math. Res. Not. (2005), no. 32, 1937–1955.^[MR/arXiv]
Michael Scott and Paulo S. L. M. Barreto, On a (flawed) proposal to build more pairing-friendly curves, IACR (2005).^[eprint]
Magda Sebestean, Correspondance de Mckay et Equivalences Derivees, PhD Thesis, Paris VII, 2005.^[link]
Jian-Yi Shi, Congruence classes of presentations for the complex reflection groups G(m, 1, n) and G(m, m, n), Indag. Math. (N.S.) 16 (2005), no. 2, 267–288.
Samir Siksek, On standardized models of isogenous elliptic curves, Math. Comp. 74 (2005), no. 250, 949–951 (electronic).^[MR]
Kirby C. Smith and Leon van Wyk, A concrete matrix field description of some Galois fields, Linear Algebra Appl. 403 (2005), 159–164.^[MR]
Arvind Sridharan, Design and analysis of LDPC convolutional codes, PhD Thesis, University of Notre Dame, 2005.
Sebastian Karl Michael Stamminger, Explicit 8-descent on elliptic curves, PhD Thesis, International University Bremen, 2005.
R. Staszewski, H. Völklein, and G. Wiesend, Counting generating systems of a finite group from given conjugacy classes, Computational aspects of algebraic curves, Lecture Notes Ser. Comput., vol. 13, World Sci. Publ., Hackensack, NJ, 2005, pp. 256–263.^[MR]
Allan Steel, Conquering inseparability: Primary decomposition and multivariate factorization over algebraic function fields of positive characteristic, J. Symbolic Comput. 40 (2005), no. 3, 1053–1075.^[MR]
Till Stegers, Faugère's F5 algorithm revisited, Master's Thesis, Technische Universiteit Darmstadt, 2005.^[link]
William Stein and Yan Zhang, On power bases in number fields, Preprint (2005), 15 pages.
Katsuyuki Takashima, New families of hyperelliptic curves with efficient Gallant-Lambert-Vanstone method, Information Security and Cryptology, ICISC 2004: 7th International Conference, Seoul, Korea, December 2-3, 2004, Lecture Notes in Comput. Sci., vol. 3506, Springer, Berlin, 2005, pp. 279–295.
Szabolcs Tengely, Effective methods for Diophantine equations, PhD Thesis, Leiden University, 2005.
L. Vauthier, Atlas de polytopes réguliers issus de groupes presque simples, Master's Thesis, Université Libre de Bruxelles, 2005.
Marie-France Vignéras, p-adic integral structures of some representations of GL(2, F), Preprint (2005), 23 pages.^[link]
John Voight, Quadratic Forms and Quaternion Algebras: Algorithms and Arithmetic, PhD Thesis, Berkeley, 2005.
Christopher Voll, Normal subgroup growth in free class-2-nilpotent groups, Math. Ann. 332 (2005), no. 1, 67–79.^[MR]
José Felipe Voloch, Computing the minimal distance of cyclic codes, Comput. Appl. Math. 24 (2005), no. 3, 393–398.^[MR]
Harold N. Ward, An Introduction to Algebraic Coding Theory, Coding Theory and Quantum Computing, Contemp. Math., vol. 381, Amer. Math. Soc., Providence, RI, 2005, pp. 27–52.^[MR]
Gabor Wiese, Modular Forms of Weight One over Finite Fields, PhD Thesis, Universiteit Leiden, 2005.
Clarence W. Wilkerson, Jr., Lab notes on the exceptional Lie group E₈ at the prime 2, Preprint (2005), 23 pages.^[link]
Christopher Wolf, An Braeken, and Bart Preneel, Efficient cryptanalysis of RSE(2) PKC and RSSE(2) PKC, Security in Communication Networks: Fourth International Conference, SCN 2004, Amalfi, Italy, September 8-10, 2004, Lecture Notes in Comput. Sci., vol. 3352, Springer, Berlin, 2005, pp. 294–309.
W. Christopher Wolf, Multivariate quadratic polynomials in public key cryptography, IACR (2005), 156 pages.^[eprint]
Bo-Yin Yang, Chen-Mou Cheng, Bor-Rong Chen, and Chen Jiun-Ming, Implementing minimized multivariate public-key cryptosystems on low-resource embedded systems, Preprint (2005), 15 pages.
Doron Zeilberger, Deconstructing the Zeilberger algorithm, J. Difference Equ. Appl. 11 (2005), no. 9, 851–856.^[MR]

2006

Timothy G. Abbott, Kiran S. Kedlaya, and David Roe, Bounding Picard numbers of surfaces using p-adic cohomology, preprint (2006), 33 pages.^[arXiv]
Amod Agashe, Kenneth Ribet, and William A. Stein, The Manin constant, Pure Appl. Math. Q. 2 (2006), no. 2, 617–636.^[MR]
Seigo Arita, Kazuto Matsuo, Koh-ichi Nagao, and Mahoro Shimura, A Weil descent attack against elliptic curve cryptosystems over quartic extension fields, IEICE Trans. Fundamentals E89-A (2006), no. 5, 28.
Henrik Bäärnhielm, Recognising the Ree groups in their natural representations, Preprint (2006), 22 pages.^[link]
Henrik Bäärnhielm, Recognising the Suzuki groups in their natural representations, J. Algebra 300 (2006), no. 1, 171–198.^[MR]
Henrik Bäärnhielm, Tensor decomposition of the Ree groups, Preprint (2006), 9 pages.^[link]
David H. Bailey, Jonathan M. Borwein, Vishaal Kapoor, and Eric W. Weisstein, Ten problems in experimental mathematics, Amer. Math. Monthly 113 (2006), no. 6, 481–509.^[MR]
R. A. Bailey, Peter J. Cameron, Peter Dobcsányi, John P. Morgan, and Leonard H. Soicher, Designs on the web, Discrete Math. 306 (2006), no. 23, 3014–3027.^[MR]
Tatiana Bandman, Gert-Martin Greuel, Fritz Grunewald, Boris Kunyavskii, Gerhard Pfister, and Eugene Plotkin, Identities for finite solvable groups and equations in finite simple groups, Compos. Math. 142 (2006), no. 3, 734–764.^[MR]
Eiichi Bannai and Etsuko Bannai, On Euclidean tight 4-designs, J. Math. Soc. Japan 58 (2006), no. 3, 775–804.^[MR]
Laurent Bartholdi, Benjamin Enriquez, Pavel Etingof, and Eric Rains, Groups and Lie algebras corresponding to the Yang-Baxter equations, J. Algebra 305 (2006), no. 2, 742–764.^[MR/arXiv]
Ingrid C. Bauer, Fabrizio Catanese, and Roberto Pignatelli, Complex surfaces of general type: Some recent progress, Global Aspects of Complex Geometry, Springer, Berlin, 2006, pp. 1–58.^[MR]
Ingrid C. Bauer, Fabrizio Catanese, and Roberto Pignatelli, The moduli space of surfaces with K² = 6 and p_g = 4, Math. Ann. 336 (2006), no. 2, 421–438.^[MR]
M. A. Bennett, N. Bruin, K. Győry, and L. Hajdu, Powers from products of consecutive terms in arithmetic progression, Proc. London Math. Soc. (3) 92 (2006), no. 2, 273–306.^[MR]
A. Bérczes, A. Pethő, and V. Ziegler, Parameterized norm form equations with arithmetic progressions, J. Symbolic Comput. 41 (2006), no. 7, 790–810.^[MR]
Attila Bérczes and Attila Pethő, Computational experiences on norm form equations with solutions forming arithmetic progressions, Glas. Mat. Ser. III 41(61) (2006), no. 1, 1–8.^[MR]
Thomas Beth, Jörn Müller-Quade, and Rainer Steinwandt, Computing restrictions of ideals in finitely generated k-algebras by means of Buchberger's algorithm, J. Symbolic Comput. 41 (2006), no. 3-4, 372–380.^[MR]
Daniel Bierbrauer, Codes auf hyperelliptischen und trigonalen kurven, PhD Thesis, Ruprecht-Karls-Universität Heidelberg, 2006.
Werner Bley and Robert Boltje, Computation of locally free class groups, Algorithmic Number Theory, Lecture Notes in Comput. Sci., vol. 4076, Springer, Berlin, 2006, pp. 72–86.^[MR/link]
Jens-Matthias Bohli, Stefan Röhrich, and Rainer Steinwandt, Key substitution attacks revisited: Taking into account malicious signers, International Journal of Information Security 5 (2006), no. 1, 30–36.
Wieb Bosma, Some computational experiments in number theory, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 1–30.^[MR]
Wieb Bosma and John Cannon (eds.), Discovering Mathematics with Magma, Algorithms and Computation in Mathematics, vol. 19, Springer-Verlag, Berlin, 2006, pp. xxiv+374.^[MR]
Wieb Bosma, Karma Dajani, and Cor Kraaikamp, Entropy quotients and correct digits in number-theoretic expansions, Dynamics and Stochastics, IMS Lecture Notes Monogr. Ser., vol. 48, Inst. Math. Statist., Beachwood, OH, 2006, pp. 176–188.^[MR]
Nigel Boston, Embedding 2-groups in groups generated by involutions, J. Algebra 300 (2006), no. 1, 73–76.^[MR]
Nigel Boston, Galois p-groups unramified at p—a survey, Primes and knots, Contemp. Math., vol. 416, Amer. Math. Soc., Providence, RI, 2006, pp. 31–40.^[MR]
Nigel Boston and Jordan S. Ellenberg, Pro-p groups and towers of rational homology spheres, Geom. Topol. 10 (2006), 331–334 (electronic).^[MR/doi]
Nigel Boston and Harris Nover, Computing pro-p-Galois groups, Algorithmic Number Theory, Lecture Notes in Comput. Sci., vol. 4076, Springer, Berlin, 2006, pp. 1–10.^[MR]
Irene I. Bouw and Stefan Wewers, Indigenous bundles with nilpotent p-curvature, Int. Math. Res. Not. (2006), Art. ID 89254, 37.^[MR]
Stefka Bouyuklieva, E. A. O'Brien, and Wolfgang Willems, The automorphism group of a binary self-dual doubly even [72,36,16] code is solvable, IEEE Trans. Inform. Theory 52 (2006), no. 9, 4244–4248.^[MR]
J. D. Bradley and R. T. Curtis, Symmetric generation and existence of J₃ : 2, the automorphism group of the third Janko group, J. Algebra 304 (2006), no. 1, 256–270.^[MR]
Aaron Bradord, Michael Monagan, and Colin Percival, Integer factorization and computing discrete logarithms in Maple, in Proceedings of the 2006 Maple Conference, 2006, pp. 2–13.
John Bray, Marston Conder, Charles Leedham-Green, and Eamonn O'Brien, Short presentations for alternating and symmetric groups, Preprint (2006), 24 pages.
John N. Bray and Robert A. Wilson, Explicit representations of maximal subgroups of the Monster, J. Algebra 300 (2006), no. 2, 834–857.^[MR]
John N. Bray and Robert A. Wilson, On the orders of automorphism groups of finite groups. II, J. Group Theory 9 (2006), no. 4, 537–545.^[MR]
Martin Bright, Brauer groups of diagonal quartic surfaces, J. Symbolic Comput. 41 (2006), no. 5, 544–558.^[MR]
Peter A. Brooksbank and William M. Kantor, Fast constructive recognition of black box orthogonal groups, J. Algebra 300 (2006), no. 1, 256–288.^[MR]
Gavin Brown, Graded rings and special K3 surfaces, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 137–159.^[MR]
Ronald Brown, Neil Ghani, Anne Heyworth, and Christopher D. Wensley, String rewriting for double coset systems, J. Symbolic Comput. 41 (2006), no. 5, 573–590.^[MR/arXiv]
N. Bruin, K. Győry, L. Hajdu, and Sz. Tengely, Arithmetic progressions consisting of unlike powers, Indag. Math. (N.S.) 17 (2006), no. 4, 539–555.^[MR]
Nils Bruin, Some ternary Diophantine equations of signature (n,n,2), Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 63–91.^[MR]
Nils Bruin, E. Victor Flynn, Josep González, and Victor Rotger, On finiteness conjectures for endomorphism algebras of abelian surfaces, Math. Proc. Cambridge Philos. Soc. 141 (2006), no. 3, 383–408.^[MR/arXiv]
Jan Hendrik Bruinier and Tonghai Yang, CM-values of Hilbert modular functions, Invent. Math. 163 (2006), no. 2, 229-288.
Johannes Buchmann, Andrei Pyshkin, and Ralf-Philipp Weinmann, Block ciphers sensitive to Gröbner basis attacks, Topics in Cryptology—CT-RSA 2006, Lecture Notes in Comput. Sci., vol. 3860, Springer, Berlin, 2006, pp. 313–331.^[MR]
Jarosław Buczyński, Legendrian subvarieties of projective space, Geom. Dedicata 118 (2006), 87–103.^[MR]
Yann Bugeaud, Maurice Mignotte, and Samir Siksek, Classical and modular approaches to exponential Diophantine equations I: Fibonacci and Lucas perfect powers, Ann. of Math. (2) 163 (2006), no. 3, 969–1018.^[MR]
Yann Bugeaud, Maurice Mignotte, and Samir Siksek, Classical and modular approaches to exponential Diophantine equations II: The Lebesgue-Nagell equation, Compos. Math. 142 (2006), no. 1, 31–62.^[MR]
David M. Bundy and Peter J. Rowley, Symmetric groups and completions of the Goldschmidt amalgams of type G₁, J. Group Theory 9 (2006), no. 5, 627–640.^[MR]
J. S. Calcut, Rationality and the tangent function, Preprint (2006), 22 pages.
Frank Calegari and Nathan M. Dunfield, Automorphic forms and rational homology 3-spheres, Geom. Topol. 10 (2006), 295–329 (electronic).^[MR/arXiv]
H. E. A. Campbell, B. Fodden, and David L. Wehlau, Invariants of the diagonal C_p-action on V₃, J. Algebra 303 (2006), no. 2, 501–513.^[MR]
John J. Cannon and Derek F. Holt, Computing conjugacy class representatives in permutation groups, J. Algebra 300 (2006), no. 1, 213–222.^[MR]
Anne Canteaut, Open problems related to algebraic attacks on stream ciphers, WCC 2005, Lecture Notes in Comput. Sci., vol. 3969, Springer, Berlin, 2006, pp. 120–134.^[link]
Jorge Caravantes, Low codimension Fano–Enriques threefolds, preprint (2006), 27 pages.^[arXiv]
Gabriel Cardona, Representations of G_k-groups and twists of the genus two curve y²=x⁵ – x, J. Algebra 303 (2006), no. 2, 707–721.^[MR]
Jon F. Carlson, Constructing endotrivial modules, J. Pure Appl. Algebra 206 (2006), no. 1-2, 83–110.^[MR]
Jon F. Carlson, Support varieties for modules, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 187–204.^[MR]
Jon F. Carlson, When is projectivity detected on subalgebras?, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 205–220.^[MR]
Jon F. Carlson and Graham Matthews, Generators and relations for matrix algebras, J. Algebra 300 (2006), no. 1, 134–159.^[MR]
Jon F. Carlson, Nadia Mazza, and Daniel K. Nakano, Endotrivial modules for finite groups of Lie type, J. Reine Angew. Math. 595 (2006), 93–119.^[MR]
Antoine Chambert-Loir, Compter (rapidement) le nombre de solutions d'equations dans les corps finis, preprint (2006), 46 pages.^[arXiv]
C. Chisholm and J. A. MacDougall, Rational and Heron tetrahedra, J. Number Theory 121 (2006), no. 1, 153–185.^[MR]
Tracey Cicco, Algorithms for Computing Restricted Root Systems and Weyl Groups, PhD Thesis, North Carolina State University, 2006.
Carlos Cid, Sean Murphy, and Matthew Robshaw, Algebraic Aspects of the Advanced Encryption Standard, Springer, New York, 2006, pp. viii+147.^[MR]
Stephen D. Cohen, Primitive polynomials with a prescribed coefficient, Finite Fields Appl. 12 (2006), no. 3, 425–491.^[MR]
Marston Conder and Peter Dobcsányi, Normal subgroups of the modular group and other Hecke groups, Combinatorial group theory, discrete groups, and number theory, Contemp. Math., vol. 421, Amer. Math. Soc., Providence, RI, 2006, pp. 65–86.^[MR]
Marston Conder, George Havas, and Colin Ramsay, Efficient presentations for the Mathieu simple group M₂₂ and its cover, Finite geometries, groups, and computation, Walter de Gruyter GmbH &Co. KG, Berlin, 2006, pp. 33–41.^[MR]
Marston Conder and Vaughan Jones, Highly transitive imprimitivities, J. Algebra 300 (2006), no. 1, 44–56.^[MR]
Marston Conder, C. R. Leedham-Green, and E. A. O'Brien, Constructive recognition of PSL(2,q), Trans. Amer. Math. Soc. 358 (2006), no. 3, 1203–1221 (electronic).^[MR]
Marston Conder, Aleksander Malnič, Dragan Marušič, and Primož Potočnik, A census of semisymmetric cubic graphs on up to 768 vertices, J. Algebraic Combin. 23 (2006), no. 3, 255–294.^[MR]
Marston Conder, Gaven Martin, and Anna Torstensson, Maximal symmetry groups of hyperbolic 3-manifolds, New Zealand J. Math. 35 (2006), no. 1, 37–62.^[MR]
A. Cossidente, G. L. Ebert, G. Marino, and A. Siciliano, Shult sets and translation ovoids of the Hermitian surface, Adv. Geom. 6 (2006), no. 4, 523–542.^[MR]
Robert S. Coulter, Marie Henderson, and Felix Lazebnik, On certain combinatorial Diophantine equations and their connection to Pythagorean numbers, Acta Arith. 122 (2006), no. 4, 395–406.^[MR]
J. E. Cremona, M. Prickett, and Samir Siksek, Height difference bounds for elliptic curves over number fields, J. Number Theory 116 (2006), no. 1, 42–68.^[MR]
John Cremona, The elliptic curve database for conductors to 130000, Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 4076, Springer, Berlin, 2006, pp. 11–29.^[MR]
Deepak Dalai, On some necessary conditions of boolean functions to resist algebraic attacks, PhD Thesis, Indian Statistical Institute, Kolkata, India, 2006.
Lars Eirik Danielsen and Matthew G. Parker, On the classification of all self-dual additive codes over GF(4) of length up to 12, J. Combin. Theory Ser. A 113 (2006), no. 7, 1351–1367.^[MR]
Henri Darmon and Robert Pollack, Efficient calculation of Stark-Heegner points via overconvergent modular symbols, Israel J. Math. 153 (2006), 319–354.^[MR]
Wolfram Decker and Christoph Lossen, Computing in algebraic geometry, Algorithms and Computation in Mathematics, vol. 16, Springer-Verlag, Berlin, 2006, pp. xvi+327.^[MR]
U. Dempwolff, Automorphisms and equivalence of bent functions and of difference sets in elementary abelian 2-groups, Comm. Algebra 34 (2006), no. 3, 1077–1131.^[MR]
Alexander W. Dent and Steven D. Galbraith, Hidden pairings and trapdoor DDH groups, Algorithmic Number Theory (Berlin, 2006), Lecture Notes in Comput. Sci., vol. 2369, Springer, Berlin, 2006, pp. pp.15.
Ulrich Derenthal, On the Cox ring of del Pezzo surfaces, preprint (2006), 17 pages.^[arXiv]
Michael Dettweiler, Galois realizations of classical groups and the middle convolution, preprint (2006), 94 pages.^[arXiv]
Michael Dettweiler and Stefan Reiter, On exceptional rigid local systems, preprint (2006), 11 pages.^[arXiv]
Claus Diem, An index calculus algorithm for plane curves of small degree, Algorithmic Number Theory, Lecture Notes in Comput. Sci., vol. 4076, Springer, Berlin, 2006, pp. 543–557.^[MR]
Cunsheng Ding and Jin Yuan, A family of skew Hadamard difference sets, J. Combin. Theory Ser. A 113 (2006), no. 7, 1526–1535.^[MR]
Jintai Ding, Jason E. Gower, and Dieter Schmidt, Multivariate public key cryptosystems, Springer, Berlin, 2006, pp. xviii+260.
Jintai Ding, Jason E. Gower, and Dieter S. Schmidt, Zhuang-Zi: a new algorithm for solving multivariate polynomial equations over a finite field, Preprint (2006), 14 pages.^[link]
C. Dominquez, J. Rubio, and F. Sergeraert, Modelling inheritance as coercion in the Kenzo system, Journal of Universal Computer Science 12 (2006), 1701–1730.
Darrin Doud and Brian Hansen, Explicit Frobenius calculations supporting a generalization of a conjecture of Serre, JP J. Algebra Number Theory Appl. 6 (2006), no. 2, 381–398.^[MR/link]
Konstantinos A. Draziotis, Integer points on the curve Y²=X³±p^kX, Math. Comp. 75 (2006), no. 255, 1493–1505 (electronic).^[MR]
Konstantinos Draziotis and Dimitrios Poulakis, Practical solution of the Diophantine equation y²=x(x+2^ap^b)(x-2^ap^b), Math. Comp. 75 (2006), no. 255, 1585–1593 (electronic).^[MR]
Sean V. Droms, Keith E. Mellinger, and Chris Meyer, LDPC codes generated by conics in the classical projective plane, Des. Codes Cryptogr. 40 (2006), no. 3, 343–356.^[MR]
Jacques Dubrois and Jean-Guillaume Dumas, Efficient polynomial time algorithms computing industrial-strength primitive roots, Inform. Process. Lett. 97 (2006), no. 2, 41–45.^[MR]
Jean-Guillaume Dumas, Thierry Gautier, Pascal Giorgi, and Clément Pernet, Dense linear algebra over finite fields: The FFLAS and FFPACK packages, preprint (2006), 69 pages.^[arXiv]
Jean-Guillaume Dumas and Anna Urbanska, An introspective algorithm for the integer determinant, preprint (2006), 32 pages.^[arXiv]
Freddy Dumortier, Jaume Llibre, and Joan C. Artés, Qualitative Theory of Planar Differential Systems, Universitext, Springer-Verlag, Berlin, 2006, pp. xvi+298.^[MR]
Bas Edixhoven, Comparison of integral structures on spaces of modular forms of weight two, and computation of spaces of forms mod 2 of weight one, J. Inst. Math. Jussieu 5 (2006), no. 1, 1–34.^[MR]
Bas Edixhoven, On the computation of the coefficients of a modular form, Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 4076, Springer, Berlin, 2006, pp. 30–39.^[MR]
Bettina Eick, M. F. Newman, and E. A. O'Brien, The class-breadth conjecture revisited, J. Algebra 300 (2006), no. 1, 384–393.^[MR]
Bettina Eick and Bernd Souvignier, Algorithms for crystallographic groups, Int. J. Quantum. Chem 106 (2006), no. 1, 316–343.
Arsen Elkin, Hyperelliptic Jacobians with real multiplication, J. Number Theory 117 (2006), no. 1, 53–86.^[MR]
Arsen Elkin and Yuri G. Zarhin, Endomorphism algebras of hyperelliptic Jacobians and finite projective lines, J. Ramanujan Math. Soc. 21 (2006), 169-187.^[MR]
Jordan S. Ellenberg and Akshay Venkatesh, The number of extensions of a number field with fixed degree and bounded discriminant, Ann. of Math. (2) 163 (2006), no. 2, 723–741.^[MR]
Nicholas Eriksson, Algebraic Combinatorics for Computational Biology, PhD Thesis, University of California, Berkeley, 2006.^[link]
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David G. Glynn, T. Aaron Gulliver, Johannes G. Maks, and Manish K. Gupta, The geometry of additive quantum codes, Springer, 2006, pp. 219.
Edray Herber Goins and Davin Maddox, Heron triangles via elliptic curves, Rocky Mountain J. Math. 36 (2006), no. 5, 1511–1526.^[MR]
Josep González and Victor Rotger, Non-elliptic Shimura curves of genus one, J. Math. Soc. Japan 58 (2006), no. 4, 927–948.^[MR]
Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskii, and Eugene Plotkin, On the number of conjugates defining the solvable radical of a finite group, C. R. Math. Acad. Sci. Paris 343 (2006), no. 6, 387–392.^[MR]
Willem A. de Graaf, Michael Harrison, Jana Pílniková, and Josef Schicho, A Lie algebra method for rational parametrization of Severi-Brauer surfaces, J. Algebra 303 (2006), no. 2, 514–529.^[MR]
Markus Grassl, Constructing matrix representations of finite groups in characteristic zero, Proceedings 10th Rhine Workshop on Computer Algebra (RWCA06, 2006, pp. 143-148.
Markus Grassl, Searching for linear codes with large minimum distance, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 287–313.^[MR/doi]
Markus Grassl and Martin Rötteler, Quantum convolutional codes: Encoders and structural properties, Forty-Fourth Annual Allerton Conference,Allerton House, UIUC, Illinois, USA Sept 27-29, 2006, 2006, pp. 510–519.
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Klavdija Kutnar, Aleksander Malnič, Dragan Marušič, and Štefko Miklavič, Distance-balanced graphs: Symmetry conditions, Discrete Math. 306 (2006), no. 16, 1881–1894.^[MR]
Thorsten Lagemann, Codes und automorphismen optimaler artin-schreier-turme, PhD Thesis, Ruprecht-Karls-Universität Heidelberg, 2006.
Jyrki Lahtonen and Camilla Hollanti, A new tool: constructing STBCs from maximal orders in central simple algebras, in IEEE Information Theory Workshop, Punta del Este, Uruguay, March 13–17, 2006, 2006.
Alan G. B. Lauder, A recursive method for computing zeta functions of varieties, LMS J. Comput. Math. 9 (2006), 222–269 (electronic).^[MR]
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Tim Penttila, Applications of computer algebra to finite geometry, Finite geometries, groups, and computation, Walter de Gruyter GmbH &Co. KG, Berlin, 2006, pp. 203–221.^[MR]
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Andrea Previtali, Irreducible constituents of monomial representations, J. Symbolic Comput. 41 (2006), no. 12, 1345–1359.^[MR]
Renault Guénaél Renault, Computation of the splitting field of a dihedral polynomial, in ISSAC '06: Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation, ACM Press, New York, NY, USA, 2006, pp. 290–297.^[doi]
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Eric Robinson and Gene Cooperman, A parallel architecture for disk-based computing over the baby monster and other large finite simple groups, in ISSAC '06: Proceedings of the 2006 international symposium on Symbolic and algebraic computation, ACM Press, New York, NY, USA, 2006, pp. 298–305.^[doi]
José L. Rodríguez, Jérôme Scherer, and Antonio Viruel, Non-simple localizations of finite simple groups, J. Algebra 305 (2006), no. 2, 765–774.^[MR]
Colva M. Roney-Dougal and William R. Unger, Computing the primitive permutation groups of degree less than 1000, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 243–260.^[MR]
Jeremy Rouse, Zagier duality for the exponents of Borcherds products for Hilbert modular forms, J. London Math. Soc. (2) 73 (2006), no. 2, 339–354.^[MR]
D. Schellekens, B. Preneel, and I. Verbauwhede, FPGA vendor agnostic true random number generator, Field Programmable Logic and Applications, 2006. FPL '06 (2006).
Csaba Schneider, Small derived quotients in finite p-groups, Publ. Math. Debrecen 69 (2006), no. 3, 373–378.^[MR]
Andreas M. Schöpp, Fundamental units in a parametric family of not totally real quintic number fields, J. Théor. Nombres Bordeaux 18 (2006), no. 3, 693–706.^[MR]
Achill Schürmann and Frank Vallentin, Computational approaches to lattice packing and covering problems, Discrete Comput. Geom. 35 (2006), no. 1, 73–116.^[MR]
Ákos Seress, A unified approach to computations with permutation and matrix groups, International Congress of Mathematicians. Vol. II, Eur. Math. Soc., Zürich, 2006, pp. 245–258.^[MR]
Müfit Sezer and R. James Shank, On the coinvariants of modular representations of cyclic groups of prime order, J. Pure Appl. Algebra 205 (2006), no. 1, 210–225.^[MR]
Amit R. Sharma, J. Wu, B. J. Braams, S. Carter, R. Schneider, B. Shepler, and J. M. Bowman, Potential energy surfaces and MULTIMODE vibrational analysis of C₂H₃ + , J Chem Phys. 125 (2006), 224306.
R. Shaw and N. A. Gordon, The polynomial degree of the Grassmannian G_1,n,2, Des. Codes Cryptogr. 39 (2006), no. 2, 289–306.^[MR]
N. I. Shepherd-Barron, Perfect forms and the moduli space of abelian varieties, Invent. Math. 163 (2006), no. 1, 25–45.^[MR]
William Stein, Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 93–116.^[MR]
Makoto Sugita, Mitsuru Kawazoe, and Hideki Imai, Relation between the XL algorithm and Groebner basis algorithms, IEICE Trans. Fundamentals E89-A (2006), no. 1, 11–18.
Katsuyuki Takashima, A new type of fast endomorphisms on Jacobians of hyperelliptic curves and their cryptographic application, IEICE Trans. Fundamentals E89-A (2006), no. 1, 124–133.
M. Chiara Tamburini and M. Vsemirnov, Irreducible (2,3,7)-subgroups of PGL_n(F), n ≤ 7, J. Algebra 300 (2006), no. 1, 339–362.^[MR]
Donald E. Taylor, Constructing the split octonions, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 161–185.^[MR]
Edlyn Teske, An elliptic curve trapdoor system, J. Cryptology 19 (2006), no. 1, 115–133.^[MR]
C. Tjhai, M. Tomlinson, M. Grassl, R. Horan, M. Ahmed, and M. Ambroze, New linear codes derived from binary cyclic codes of length 151, IEE Proceedings: Communications 153 (2006), no. 5, 581–585.
W. R. Unger, Computing the character table of a finite group, J. Symbolic Comput. 41 (2006), no. 8, 847–862.^[MR]
W. R. Unger, Computing the soluble radical of a permutation group, J. Algebra 300 (2006), no. 1, 305–315.^[MR]
Michael Vaughan-Lee, Simple Lie algebras of low dimension over GF(2), LMS J. Comput. Math. 9 (2006), 174–192 (electronic).^[MR]
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Paul B. van Wamelen, Computing with the analytic Jacobian of a genus 2 curve, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 117–135.^[MR]
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Greg White and Markus Grassl, A new minimum weight algorithm for additive codes, Proceedings 2006 IEEE International Symposium on Information Theory (ISIT 2006), Seattle, USA, July 2006, IEEE, 2006, pp. 1119-1123.
Robert A. Wilson, New computations in the monster, Preprint (2006), 11.
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2007

David Abelson, Seok-Hee Hong, and D. E. Taylor, Geometric automorphism groups of graphs, Discrete Appl. Math. 155 (2007), no. 17, 2211–2226.^[MR]
Fatima K. Abu Salem and Kamal Khuri-Makdisi, Fast Jacobian group operations for C_3,4 curves over a large finite field, LMS J. Comput. Math. 10 (2007), 307–328 (electronic).^[MR]
Sultan Zayid Al-Hinai1, Ed Dawson, Matt Henricksen, and Leonie Simpson, On the security of the LILI family of stream ciphers against algebraic attacks, Information Security and Privacy, Lecture Notes in Computer Science, vol. 4586/2007, Springer Berlin / Heidelberg, 2007, pp. 11–28.
Christine Abegail Antonio, Satoru Nakamula, and Ken Nakamula, Comparing implementation efficiency of ordinary and squared pairings, IACR (2007), 13 pages.^[eprint]
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George Havas and Colin Ramsay, On proofs in finitely presented groups, Groups St. Andrews 2005. Vol. 2, London Math. Soc. Lecture Note Ser., vol. 340, Cambridge Univ. Press, Cambridge, 2007, pp. 457–474.^[MR]
George Havas and M. R. Vaughan-Lee, Computing with 4-Engel groups, Groups St. Andrews 2005. Vol. 2, London Math. Soc. Lecture Note Ser., vol. 340, Cambridge Univ. Press, Cambridge, 2007, pp. 475–485.^[MR]
Stuart Hendren, Extra special defect groups of order p³ and exponent p, J. Algebra 313 (2007), no. 2, 724–760.^[MR]
K. J. Horadam, Hadamard matrices and their applications, Princeton University Press, Princeton, NJ, 2007, pp. xiv+263.^[MR]
Shuhui Hou, Tetsutaro Uehara, Yoshitaka Morimura, and Michihiko Minoh, Fingerprinting codes for live pay-television broadcast via internet, Multimedia Content Analysis and Mining, Lecture Notes in Computer Science, vol. 4577/2007, Springer Berlin / Heidelberg, 2007, pp. 252–261.
Min-Hsiu Hsieh, Igor Devetak, and Todd Brun, General entanglement-assisted quantum error-correcting codes, Physical Review A (Atomic, Molecular, and Optical Physics) 76 (2007), no. 6, 062313.^[doi]
Stephen P. Humphries, An action of subgroups of mapping class groups on polynomial algebras, Topology Appl. 154 (2007), no. 6, 1053–1083.^[MR]
Stephen P. Humphries, Intersection-number operators and Chebyshev polynomials. IV. Non-planar cases, Geom. Dedicata 130 (2007), 25–41.^[MR]
Stephen P. Humphries, Subgroups of pure braid groups generated by powers of Dehn twists, Rocky Mountain J. Math. 37 (2007), no. 3, 801–828.^[MR]
Stephen Humphries and Anthony Manning, Curves of fixed points of trace maps, Ergodic Theory Dynam. Systems 27 (2007), no. 4, 1167–1198.^[MR]
Georg Illies and Marian Margraf, Attacks on the ESA-PSS-04-151 MAC scheme, Selected Areas in Cryptography, Lecture Notes in Computer Science, vol. 4876/2007, Springer Berlin / Heidelberg, 2007, pp. 296–310.
I. M. Isaacs, Counting characters of upper triangular groups, J. Algebra 315 (2007), no. 2, 698–719.^[MR]
Samar Jaafar and Kamal Khuri-Makdisi, On the maps from X(4p) to X(4), preprint (2007), 11 pages.^[arXiv]
Dimitar P. Jetchev and William A. Stein, Visibility of the Shafarevich-Tate group at higher level, Doc. Math. 12 (2007), 673–696.^[MR]
Ellen Jochemsz and Alexander May, A polynomial time attack on RSA with private CRT-exponents smaller than N^0.073, Advances in cryptology—CRYPTO 2007, Lecture Notes in Comput. Sci., vol. 4622, Springer, Berlin, 2007, pp. 395–411.^[MR]
John Jossey, Galois 2-extensions unramified outside 2, J. Number Theory 124 (2007), no. 1, 42–56.^[MR]
Michael Joswig and Nikolaus Witte, Products of foldable triangulations, Adv. Math. 210 (2007), no. 2, 769–796.^[MR]
Antoine Joux, David Naccache, and Emmanuel Thomé, When e-th roots become easier than factoring, Advances in Cryptology - ASIACRYPT 2007, Lecture Notes in Computer Science, vol. 4833/2007, Springer Berlin / Heidelberg, 2007, pp. 13–28.
Waldyr D. Benits Junior and Steven D. Galbraith, Constructing pairing-friendly elliptic curves using Gröbner basis reduction, Cryptography and Coding, Lecture Notes in Computer Science, vol. 4887/2007, Springer Berlin / Heidelberg, 2007, pp. 336–345.
Samuel Kadziela, Rigid analytic uniformization of curves and the study of isogenies, Acta Appl. Math. 99 (2007), no. 2, 185–204.^[MR]
Cezary Kaliszyk and Freek Wiedijk, Certified computer algebra on top of an interactive theorem prover, Towards Mechanized Mathematical Assistants, Lecture Notes in Computer Science, vol. 4573/2007, Springer Berlin / Heidelberg, 2007, pp. 94–105.
Levent Kandiller, Principles of Mathematics in Operations Research, International Series in Operations Research &Management Science, 97, Springer, New York, 2007, pp. xii+297.^[MR]
Luise-Charlotte Kappe and Robert Fitzgerald Morse, On commutators in groups, Groups St. Andrews 2005. Vol. 2, London Math. Soc. Lecture Note Ser., vol. 340, Cambridge Univ. Press, Cambridge, 2007, pp. 531–558.^[MR]
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Christine A. Kelley, Deepak Sridhara, and Joachim Rosenthal, Tree-based construction of LDPC codes having good pseudocodeword weights, IEEE Trans. Inform. Theory 53 (2007), no. 4, 1460–1478.^[MR]
Gregor Kemper, The computation of invariant fields and a constructive version of a theorem by Rosenlicht, Transform. Groups 12 (2007), no. 4, 657–670.^[MR]
J. D. Key and P. Seneviratne, Binary codes from rectangular lattice graphs and permutation decoding, European J. Combin. 28 (2007), no. 1, 121–126.^[MR]
J. D. Key and P. Seneviratne, Codes from the line graphs of complete multipartite graphs and PD-sets, Discrete Math. 307 (2007), no. 17-18, 2217–2225.^[MR]
L. J. P. Kilford, Generating spaces of modular forms with η-quotients, JP J. Algebra Number Theory Appl. 8 (2007), no. 2, 213–226.^[MR/arXiv]
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Sunghwan Kim, Jong-Seon No, Habong Chung, and Dong-Joon Shin, Cycle analysis and construction of protographs for QC (LDPC) codes with girth larger than 12, IEEE International Symposium on Information Theory, 2007. ISIT 2007 (2007), 2256-2260.^[doi]
Simon King, Fast computation of secondary invariants, preprint (2007), 13 pages.^[arXiv]
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Martin Kohls, Üeber die tiefe von invariantenringen unendlicher gruppen, PhD Thesis, Technische Universitaet Muechen, 2007.
I. S. Kotsireas and C. Koukouvinos, Inequivalent hadamard matrices from orthogonal designs, in PASCO '07: Proceedings of the 2007 International Workshop on Parallel Symbolic Computation, ACM, New York, NY, USA, 2007, pp. 95–96.^[doi]
R. V. Kravchenko and B. V. Petrenko, Some formulas for the minimal number of generators of the direct sum of matrix rings, preprint (2007), 23 pages.^[arXiv]
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Dimitri Leemans and Egon Schulte, Groups of type L₂(q) acting on polytopes, Adv. Geom. 7 (2007), no. 4, 529–539.^[MR]
D. Lehavi and C. Ritzenthaler, An explicit formula for the arithmetic-geometric mean in genus 3, Experiment. Math. 16 (2007), no. 4, 421–440.^[MR/arXiv]
Franck Leprévost, Michael Pohst, and Andreas Schöpp, Units in some parametric families of quartic fields, Acta Arith. 127 (2007), no. 3, 205–216.^[MR]
Mark L. Lewis, Generalizing a theorem of Huppert and Manz, J. Algebra Appl. 6 (2007), no. 4, 687–695.^[MR]
Xin Li, Marc Moreno Maza, and Éric Schost, Fast arithmetic for triangular sets: from theory to practice, ISSAC 2007, ACM, New York, 2007, pp. 269–276.^[MR]
Xin Li, Marc Moreno Maza, and Éric Schost, On the virtues of generic programming for symbolic computation, Computational Science - ICCS 2007, Lecture Notes in Computer Science, vol. 4488/2007, Springer Berlin / Heidelberg, 2007, pp. 379–596.
Martin W. Liebeck and E. A. O'Brien, Finding the characteristic of a group of Lie type, J. Lond. Math. Soc. (2) 75 (2007), no. 3, 741–754.^[MR]
John Little and Ryan Schwarz, On toric codes and multivariate Vandermonde matrices, Appl. Algebra Engrg. Comm. Comput. 18 (2007), no. 4, 349–367.^[MR]
Michael Feng-Hao Liu, Chi-Jen Lu, Bo-Yin Yang, and Jintai Ding, Secure PRNGs from specialized polynomial maps over any F_q, IACR (2007).^[eprint]
Marko Lovrečič Saražin, Walter Pacco, and Andrea Previtali, Generalizing the generalized Petersen graphs, Discrete Math. 307 (2007), no. 3-5, 534–543.^[MR]
F. Lübeck, K. Magaard, and E. A. O'Brien, Constructive recognition of SL₃(q), J. Algebra 316 (2007), no. 2, 619–633.^[MR]
Ronald van Luijk, K3 surfaces with Picard number one and infinitely many rational points, Algebra and Number Theory 1 (2007), no. 1, 1–15.
Ronald van Luijk, An elliptic K3 surface associated to Heron triangles, J. Number Theory 123 (2007), no. 1, 92–119.^[MR]
Ronald van Luijk, Cubic points on cubic curves and the Brauer-Manin obstruction on K3 surfaces, preprint (2007), 17 pages.^[arXiv]
Jean-Gabriel Luque, Jean-Yves Thibon, and Frédéric Toumazet, Unitary invariants of qubit systems, Math. Structures Comput. Sci. 17 (2007), no. 6, 1133–1151.^[MR/arXiv]
Klaus M. Lux and Magdolna Szőke, Computing decompositions of modules over finite-dimensional algebras, Experiment. Math. 16 (2007), no. 1, 1–6.^[MR]
G. Malema, Constructing quasi-cyclic LDPC codes using a search algorithm, 2007 IEEE International Symposium on Signal Processing and Information Technology (2007), 956-960.^[doi]
Aleksander Malnič, Dragan Marušič, Štefko Miklavič, and Primož Potočnik, Semisymmetric elementary abelian covers of the Möbius-Kantor graph, Discrete Math. 307 (2007), no. 17-18, 2156–2175.^[MR/arXiv]
Aleksander Malnič, Dragan Marušič, and Primož Šparl, On strongly regular bicirculants, European J. Combin. 28 (2007), no. 3, 891–900.^[MR]
Stefano Marcugini, Alfredo Milani, and Fernanda Pambianco, Complete arcs in PG(2,25): the spectrum of the sizes and the classification of the smallest complete arcs, Discrete Math. 307 (2007), no. 6, 739–747.^[MR]
Ivan Marin and Jean Michel, Automorphisms of complex reflection groups, preprint (2007), 39 pages.^[arXiv]
Kazuo Matsuno, Construction of elliptic curves with large Iwasawa λ-invariants and large Tate-Shafarevich groups, Manuscripta Math. 122 (2007), no. 3, 289–304.^[MR]
Coy L. May, Groups of even real genus, J. Algebra Appl. 6 (2007), no. 6, 973–989.^[MR]
Coy L. May, The real genus of 2-groups, J. Algebra Appl. 6 (2007), no. 1, 103–118.^[MR]
Cameron McDonald, Chris Charnes, and Josef Pieprzyk, An algebraic analysis of Trivium ciphers based on the boolean satisfiability problem, IACR (2007).^[eprint]
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Gerhard O. Michler and Andrea Previtali, O'Nan group uniquely determined by the centralizer of a 2-central involution, J. Algebra Appl. 6 (2007), no. 1, 135–171.^[MR]
J. Miret, D. Sadornil, J. Tena, R. Tomàs, and M. Valls, Isogeny cordillera algorithm to obtain cryptographically good elliptic curves, in ACSW '07: Proceedings of the fifth Australasian symposium on ACSW frontiers, Australian Computer Society, Inc., 2007, pp. 153–157.
V. A. Mityunin and E. V. Pankratiev, Parallel algorithms for Gröbner-basis construction, J. Math. Sci. (N. Y.) 142 (2007), no. 4, 2248–2266.
Jesper M. Møller, N-determined 2-compact groups. I, Fund. Math. 195 (2007), no. 1, 11–84.^[MR]
Jesper M. Møller, N-determined 2-compact groups. II, Fund. Math. 196 (2007), no. 1, 1–90.^[MR]
Jamshid Moori and B. G. Rodrigues, Some designs and codes invariant under the simple group Co₂, J. Algebra 316 (2007), no. 2, 649–661.^[MR]
Marc Moreno Maza, Greg Reid, Robin Scott, and Wenyuan Wu, On approximate triangular decompositions in dimension zero, J. Symbolic Comput. 42 (2007), no. 7, 693–716.^[MR]
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Peter Müller and Gábor P. Nagy, A note on the group of projectivities of finite projective planes, Innov. Incidence Geom. 6/7 (2007/08), 291–294.^[MR]
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Gabriele Nebe and Kristina Schindelar, S-extremal strongly modular lattices, J. Théor. Nombres Bordeaux 19 (2007), no. 3, 683–701.^[MR]
Annika Niehage, Nonbinary quantum Goppa codes exceeding the quantum Gilbert-Varshamov bound, Quantum Inf. Process. 6 (2007), no. 3, 143–158.^[MR]
David Nister, Richard Hartley, and Henrik Stewenius, Using Galois theory to prove structure from motion algorithms are optimal, in Computer Vision and Pattern Recognition, 2007. CVPR '07, 17-22 June 2007, 8 pages.^[doi]
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Emmanuela Orsini and Massimiliano Sala, General error locator polynomials for binary cyclic codes with t ≤ 2 and n < 63, IEEE Trans. Inform. Theory 53 (2007), no. 3, 1095–1107.^[MR]
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Clément Pernet and Arne Storjohann, Faster algorithms for the characteristic polynomial, ISSAC 2007, ACM, New York, 2007, pp. 307–314.^[MR]
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Albrecht Petzoldt and Johannes Buchmann, A multivariate signature scheme with an almost cyclic public key, IACR (2007), 6 pages.^[eprint]
Jana Pílniková, Trivializing a central simple algebra of degree 4 over the rational numbers, J. Symbolic Comput. 42 (2007), no. 6, 579–586.^[MR]
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Bjorn Poonen, Edward F. Schaefer, and Michael Stoll, Twists of X(7) and primitive solutions to x²+y³=z⁷, Duke Math. J. 137 (2007), no. 1, 103–158.^[MR]
Adrien Poteaux, Computing monodromy groups defined by plane algebraic curves, SNC'07, ACM, New York, 2007, pp. 36–45.^[MR]
Gopal Prasad and Sai-Kee Yeung, Fake projective planes, Invent. Math. 168 (2007), no. 2, 321–370.^[MR]
Carlos Rito, On surfaces with p_g = q = 1 and non-ruled bicanonial involution, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 6 (2007), no. 1, 81–102.^[MR/arXiv]
Eric Robinson, Jürgen Müller, and Gene Cooperman, A disk-based parallel implementation for direct condensation of large permutation modules, ISSAC 2007, ACM, New York, 2007, pp. 315–322.^[MR]
Emmanuel Royer, Evaluating convolution sums of the divisor function with quasimodular forms, Int. J. Number Theory 3 (2007), no. 2, 231–261.^[arXiv]
Diego Ruano, On the parameters of r-dimensional toric codes, Finite Fields Appl. 13 (2007), no. 4, 962–976.^[MR]
John A. Ryan and Kondwani Magamba, Equivalent irreducible Goppa codes and the precise number of quintic Goppa codes of length 32, AFRICON 2007 (2007), 1-4.^[doi]
Mohab Safey El Din, Testing sign conditions on a multivariate polynomial and applications, Math. Comput. Sci. 1 (2007), no. 1, 177–207.^[MR]
Massimiliano Sala, Gröbner basis techniques to compute weight distributions of shortened cyclic codes, J. Algebra Appl. 6 (2007), no. 3, 403–414.^[MR]
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Travis Schedler, Hochschild homology of preprojective algebras over the integers, preprint (2007), 103 pages.^[arXiv]
Stefan Schröer, Kummer surfaces for the self-product of the cuspidal rational curve, J. Algebraic Geom. 16 (2007), no. 2, 305–346.^[MR/arXiv]
Murat Sertel and Arkadii Slinko, Ranking committees, income streams or multisets, Economic Theory 30 (2007), no. 2, 265–287.^[link]
Romyar T. Sharifi, Iwasawa theory and the Eisenstein ideal, Duke Math. J. 137 (2007), no. 1, 63–101.^[MR]
Anuradha Sharma, Gurmeet K. Bakshi, and Madhu Raka, Polyadic codes of prime power length, Finite Fields Appl. 13 (2007), no. 4, 1071–1085.^[MR]
Mathieu Dutour Sikirić, Achill Schürmann, and Frank Vallentin, Classification of eight-dimensional perfect forms, Electron. Res. Announc. Amer. Math. Soc. 13 (2007), 21–32 (electronic).^[MR]
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James P Smith, Picard-Fuchs differential equations for families of K3 surfaces, PhD Thesis, University of Warwick, 2007.^[arXiv]
Patrick Solé and Virgilio Sison, Bounds on the minimum homogeneous distance of the p-ary image of linear block codes over the Galois ring GR(p^r,m), IEEE Trans. Inform. Theory 53 (2007), no. 6, 2270–2273.^[MR]
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William Stein, Modular Forms: A Computational Approach, Graduate Studies in Mathematics, vol. 79, American Mathematical Society, Providence, RI, 2007, pp. xvi+268.^[MR]
William A. Stein, Visibility of Mordell-Weil groups, Doc. Math. 12 (2007), 587–606.^[MR]
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A. Stoimenow, Generating functions, Fibonacci numbers and rational knots, J. Algebra 310 (2007), no. 2, 491–525.^[MR]
H. Strade, Lie algebras of small dimension, Lie algebras, vertex operator algebras and their applications, Contemp. Math., vol. 442, Amer. Math. Soc., Providence, RI, 2007, pp. 233–265.^[MR]
Peter Symonds, Cyclic group actions on polynomial rings, Bull. Lond. Math. Soc. 39 (2007), no. 2, 181–188.^[MR/link]
Katsuyuki Takashima, Scaling security of elliptic curves with fast pairing using efficient endomorphisms, IEICE Trans. Fundamentals E-90A (2007), no. 1, 152–159.
Szabolcs Tengely, Triangles with two integral sides, Ann. Math. Inform. 34 (2007), 89–95.^[MR]
C. Tjhai and M. Tomlinson, Results on binary cyclic codes, Electronics Letters 43 (2007), no. 4, 234–235.
Suratose Tritilanunt, Colin Boyd, Ernest Foo, and Juan Manuel González Nieto, Toward non-parallelizable client puzzles, Cryptology and Network Security, Lecture Notes in Computer Science, vol. 4856/2007, Springer, Berlin/Heidelberg, 2007, pp. 247–264.
Shigeo Tsujii, Kohtaro Tadaki, and Ryou Fujita, Proposal for piece in hand matrix: General concept for enhancing security of multivariate public key cryptosystems, IEICE Trans A: Fundamentals E90-A (2007), no. 5, 992-999.^[doi]
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M. A. Vsemirnov, On the (2,3)-generation of matrix groups over the ring of integers, Algebra i Analiz 19 (2007), no. 6, 22–58.^[MR]
Maxim Vsemirnov, The group GL(6,Z) is (2,3)-generated, J. Group Theory 10 (2007), no. 4, 425–430.^[MR]
P. G. Walsh, On a very particular class of Ramanujan-Nagell type equations, Far East J. Math. Sci. (FJMS) 24 (2007), no. 1, 55–58.^[MR]
Paul van Wamelen, Enumerating Motzkin-Rabin geometries, J. Combin. Des. 15 (2007), no. 3, 179–194.^[MR]
Gregory White, Enumeration-based Algorithms in Coding Theory, PhD Thesis, University of Sydney, 2007.
Doug Wiedemann and Michael Zieve, Equivalence of sparse circulants: The bipartite Adam problem, preprint (2007), 20 pages.^[arXiv]
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Geordie Williamson, Intersection cohomology complexes on low rank flag varieties, preprint (2007), 17 pages.^[arXiv]
H. E. Winkelnkemper, AP theory II: Intrinsic 4D quantum YM theory with mass gap, preprint (2007), 54 pages.^[arXiv]
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Christian Wuthrich, Self-points on an elliptic curve of conductor 14, in Proceedings of the Symposium on Algebraic Number Theory and Related Topics, RIMS Kôkyûroku Bessatsu, B4, Res. Inst. Math. Sci. (RIMS), Kyoto, 2007, pp. 189–195.^[MR]
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Dan Yasaki, Integral cohomology of certain Picard modular surfaces, preprint (2007), 14 pages.^[arXiv]
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2008

Fadwa S. Abu Muriefah, Florian Luca, and Alain Togbé, On the Diophantine equation x²+5^a13^b=yⁿ, Glasg. Math. J. 50 (2008), no. 1, 175–181.^[MR]
Edith Adan-Bante and Helena Verrill, Symmetric groups and conjugacy classes, J. Group Theory 11 (2008), no. 3, 371–379.^[MR]
M. Afzal and A. Masood, Algebraic cryptanalysis of a NLFSR based stream cipher, 3rd International Conference on Information and Communication Technologies: From Theory to Applications, 2008. ICTTA 2008. (2008), 1-6.^[doi]
Mehreen Afzal and Ashraf Masood, Resistance of stream ciphers to algebraic recovery of internal secret states, Third International Conference on Convergence and Hybrid Information Technology, 2008. ICCIT '08 2 (2008), 625-630.^[doi]
Mehreen Afzal, Ashraf Masood, and Naveed Shehzad, Improved results on algebraic cryptanalysis of A5/2, Communications in Computer and Information Science 12 (2008), no. 4, 182–189.
Scott Ahlgren, On the irreducibility of Hecke polynomials, Math. Comp. 77 (2008), no. 263, 1725–1731.^[MR]
Ali Akhavi and Damien Stehlé, Speeding-up lattice reduction with random projections (extended abstract), LATIN 2008: Theoretical informatics, Lecture Notes in Comput. Sci., vol. 4957, Springer, Berlin, 2008, pp. 293–305.^[MR]
S. Akhtari, A. Togbé, and P. G. Walsh, On the equation aX⁴-bY² = 2, Acta Arith. 131 (2008), no. 2, 145–169.^[MR]
Martin Albrecht, Algebraic attacks on the Courtois Toy cipher, Cryptologia 32 (2008), no. 3, 220–276.
Faryad Ali and Jamshid Moori, Fischer-Clifford matrices of the non-split group extension 2⁶·U₄(2), Quaest. Math. 31 (2008), no. 1, 27–36.^[MR/doi]
Salah A. Aly, Asymmetric and symmetric subsystem BCH codes and beyond, preprint (2008), 10 pages.^[arXiv]
Salah A. Aly, Andreas Klappenecker, and Kiran Sarvepalli Pradeep, Subsystem codes, IEEE International Symposium on Information Theory, Toronto, Canada, 2008 (ISIT 08), IEEE, New York, 2008, pp. 369–373.^[doi/arXiv]
Maria Carmen V. Amarra and Fidel R. Nemenzo, On: "(1 – u)-cyclic codes over F_p^k+u F_p^k", Appl. Math. Lett. 21 (2008), no. 11, 1129–1133.^[MR]
Jianbei An, John J. Cannon, E. A. O'Brien, and W. R. Unger, The Alperin weight conjecture and Dade's conjecture for the simple group Fi₂₄', LMS J. Comput. Math. 11 (2008), 100–145.^[MR]
K. K. S. Andersen, J. Grodal, J. M. Møller, and A. Viruel, The classification of p-compact groups for p odd, Ann. of Math. (2) 167 (2008), no. 1, 95–210.^[MR]
A. O. L. Atkin, Wen-Ching Winnie Li, and Ling Long, On Atkin and Swinnerton-Dyer congruence relations (II), Math. Ann. 340 (2008), no. 2, 335–358.^[MR/arXiv]
Nir Avni and Shelly Garion, Connectivity of the product replacement graph of simple groups of bounded Lie rank, J. Algebra 320 (2008), no. 2, 945–960.^[MR]
Mohamed Ayad and Peter Fleischmann, On the decomposition of rational functions, J. Symbolic Comput. 43 (2008), no. 4, 259–274.^[MR]
Henrik Bäärnhielm, Algorithmic problems in twisted groups of Lie type, preprint (2008), 131 pages.^[arXiv]
Eric Bach and Denis Charles, The hardness of computing an eigenform, Computational arithmetic geometry, Contemp. Math., vol. 463, Amer. Math. Soc., Providence, RI, 2008, pp. 9–15.^[MR/arXiv]
John Bamberg, Geoffrey Pearce, and Cheryl E. Praeger, Transitive decompositions of graph products: Rank 3 grid type, J. Group Theory 11 (2008), no. 2, 185–228.^[MR]
M. Barbosa, A. Moss, and D. Page, Constructive and destructive use of compilers in elliptic curve cryptography, J. Cryptology Online first (2008), 23.
Y. Barnea and D. S. Passman, Filtrations in semisimple Lie algebras. II, Trans. Amer. Math. Soc. 360 (2008), no. 2, 801–817 (electronic).^[MR]
Tathagata Basak, On Coxeter diagrams of complex reflection groups, preprint (2008), 17 pages.^[arXiv]
I. C. Bauer, F. Catanese, and F. Grunewald, The classification of surfaces with p_g = q = 0 isogenous to a product of curves, Pure Appl. Math. Q. 4 (2008), no. 2, part 1, 547–586.^[MR/arXiv]
Ingrid C. Bauer and Fabrizio Catanese, A volume maximizing canonical surface in 3-space, Comment. Math. Helv. 83 (2008), no. 2, 387–406.^[MR]
Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald, and Roberto Pignatelli, Quotients of a product of curves by a finite group and their fundamental groups, preprint (2008), 37 pages.^[arXiv]
M. Bauer, M. J. Jacobson, Jr., Y. Lee, and R. Scheidler, Construction of hyperelliptic function fields of high three-rank, Math. Comp. 77 (2008), no. 261, 503–530 (electronic).^[MR]
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Camilla Hollanti and Kalle Ranto, Maximal orders in space-time coding: Construction and decoding, 2008.
P. E. Holmes, A classification of subgroups of the Monster isomorphic to S₄ and an application, J. Algebra 319 (2008), no. 8, 3089–3099.^[MR]
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Derek F. Holt and Mark J. Stather, Computing a chief series and the soluble radical of a matrix group over a finite field, LMS J. Comput. Math. 11 (2008), 223–251.^[MR]
K. J. Horadam and D. G. Farmer, Bundles, presemifields and nonlinear functions, Des. Codes Cryptogr. 49 (2008), no. 1-3, 79–94.^[MR]
Naoyuki Horiguchi, Masaaki Kitazume, and Hiroyuki Nakasora, The Hall-Janko graph and the Witt system W₁₀, European J. Combin. 29 (2008), no. 1, 1–8.^[MR]
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David Hubbard, Dihedral side extensions and class groups, J. Number Theory 128 (2008), no. 4, 731–737.^[MR]
Hendrik Hubrechts, Point counting in families of hyperelliptic curves, Found. Comput. Math. 8 (2008), no. 1, 137–169.^[MR/arXiv]
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Nathan Owen Ilten and Hendrik Süß, AG codes from polyhedral divisors, preprint (2008), 30 pages.^[arXiv]
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Mariusz Jakubowski, Prasad Naldurg, Vijay Patankar, and Ramarathnam Venkatesan, Software integrity checking expressions (ICEs) for robust tamper detection, Information Hiding, Lecture Notes in Computer Science, vol. 4567, 2008, pp. 96–111.
Martin Janošov, Martin Husák, Peter Farkaš, and Ana Garcia Armada, New [47,15,16] linear binary block code, IEEE Trans. Inform. Theory 54 (2008), no. 1, 423–424.^[MR]
Jean-François Jaulent, Sebastian Pauli, Michael E. Pohst, and Florence Soriano-Gafiuk, Computation of 2-groups of positive classes of exceptional number fields, J. Théor. Nombres Bordeaux 20 (2008), no. 3, 715–732.^[MR]
Xin Jiang, Jintai Ding, and Lei Hu, Kipnis-Shamir attack on HFE revisited, Information Security and Cryptology, Lecture Notes in Computer Science, vol. 4990, Springer Berlin/Heidelberg, 2008, pp. 399–411.
Florent Jouve, Emmanuel Kowalski, and David Zywina, An explicit integral polynomial whose splitting field has galois group W(E₈), J. Théor. Nombres Bordeaux 20 (2008), no. 3, 761–782.^[MR]
Antoine Joux, Reynald Lercier, David Naccache, and Emmanuel Thomé, Oracle-assisted static Diffie-Hellman is easier than discrete logarithms, IACR (2008).^[eprint]
Arkadius Kalka, Mina Teicher, and Boaz Tsaban, Cryptanalysis of the algebraic eraser and short expressions of permutations as products, preprint (2008), 19 pages.^[arXiv]
Koray Karabina and Edlyn Teske, On prime-order elliptic curves with embedding degrees k=3,4, and 6, Algorithmic Number Theory, Lecture Notes in Computer Science, vol. 5011, Springer, 2008, pp. 102–117.
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J. D. Key, T. P. McDonough, and V. C. Mavron, Partial permutation decoding for codes from affine geometry designs, J. Geom. 88 (2008), no. 1-2, 101–109.^[MR]
J. D. Key and J. Moori, Some irreducible codes invariant under the Janko group, J1 or J2, preprint (2008), 20 pages.
J. D. Key and P. Seneviratne, Permutation decoding for binary codes from lattice graphs, Discrete Math. 308 (2008), no. 13, 2862–2867.^[MR]
M. Kiermaier and A. Wassermann, On the minimum Lee distance of quadratic residue codes over Z₄, IEEE International Symposium on Information Theory, 2008. ISIT 2008. (2008), 2617-2619.^[doi]
L. J. P. Kilford, Modular forms, Imperial College Press, London, 2008, pp. xxii+224.^[MR]
L. J. P. Kilford, On a p-adic extension of the Jacquet-Langlands correspondence to weight 1, preprint (2008), 17 pages.^[arXiv]
L. J. P. Kilford, On mod p modular representations which are defined over F_p, Glas. Mat. Ser. III 43(63) (2008), no. 1, 1–6.^[MR/arXiv]
L. J. P. Kilford, On the slopes of the U₅ operator acting on overconvergent modular forms, J. Théor. Nombres Bordeaux 20 (2008), no. 1, 165–182.^[MR/arXiv]
L. J. P. Kilford and Gabor Wiese, On the failure of the Gorenstein property for Hecke algebras of prime weight, Experiment. Math. 17 (2008), no. 1, 37–52.^[MR/arXiv]
Dae San Kim, Codes associated with O⁺(2n,2^r) and power moments of Kloosterman sums, preprint (2008), 9 pages.^[arXiv]
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Dae San Kim, Codes associated with special linear groups and power moments of multi-dimensional Kloosterman sums, preprint (2008), 7 pages.^[arXiv]
Jon-Lark Kim and Patrick Solé, Skew Hadamard designs and their codes, Des. Codes Cryptogr. 49 (2008), no. 1-3, 135–145.^[MR]
A. Klappenecker and P. K. Sarvepalli, Clifford code constructions of operator quantum error-correcting codes, IEEE Transactions on Information Theory 54 (2008), no. 12, 5760-5765.^[arXiv]
Conrad Kobel, On the classification of solvable Lie algebras of finite dimension containing an abelian ideal of codimension one, Master's Thesis, Halmstad University, 2008.
Alexey Koloydenko, Symmetric measures via moments, Bernoulli 14 (2008), no. 2, 362-390.^[arXiv]
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Emmanuel Kowalski, The large sieve, monodromy, and zeta functions of algebraic curves. II. Independence of the zeros, Int. Math. Res. Not. IMRN (2008), Art. ID rnn 091, 57.^[MR/arXiv]
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Hans-Joachim Kroll and Rita Vincenti, PD-sets for binary RM-codes and the codes related to the Klein quadric and to the Schubert variety of PG(5,2), Discrete Math. 308 (2008), no. 2-3, 408–414.^[MR]
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Gilles Lachaud and Christophe Ritzenthaler, On a conjecture of Serre on abelian threefolds, in Algebraic Geometry and its applications, Proceedings od the First SAGA conference, Papeete, France 2007, 2008, pp. 1–28.
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G. I. Lehrer and R. B. Zhang, A Temperley-Lieb analogue for the BMW algebra, preprint (2008), 31 pages.^[arXiv]
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Aaron Levin, Ideal class groups and torsion in Picard groups of varieties, preprint (2008), 31 pages.^[arXiv]
Xin Li, Marc Moreno Maza, Raqeeb Rasheed, and Eric Schost, High-performance symbolic computation in a hybrid compiled-interpreted programming environment, International Conference on Computational Sciences and Its Applications. ICCSA. June 30- July 3, 2008, 2008, pp. 331–341.
Martin W. Liebeck, Aner Shalev, Pham Huu Tiep, and E. A. O'Brien, The Ore conjecture, Preprint (2008).
Petr Lisoněk, On the connection between Kloosterman sums and elliptic curves, Sequences and Their Applications – SETA 2008: Proceedings, Lecture Notes in Computer Science, vol. 5203, Springer, Berlin Heidelberg, 2008, pp. 182–187.
Petr Lisoněk, Stefano Marcugini, and Fernanda Pambianco, Constructions of small complete arcs with prescribed symmetry, Contrib. Discrete Math. 3 (2008), no. 1, 14–19.^[MR]
David Loeffler, Explicit calculations of automorphic forms for definite unitary groups, LMS J. Comput. Math. 11 (2008), 326–342.^[MR]
Adam Logan, The Brauer-Manin obstruction on del Pezzo surfaces of degree 2 branched along a plane section of a Kummer surface, Math. Proc. Cambridge Philos. Soc. 144 (2008), no. 3, 603–622.^[MR]
Ling Long, On Atkin and Swinnerton-Dyer congruence relations. III, J. Number Theory 128 (2008), no. 8, 2413–2429.^[MR/arXiv]
Ling Long and Chris Kurth, On modular forms for some noncongruence subgroups of SL₂Z) II, preprint (2008), 13 pages.^[arXiv]
F. Luca, P. Stanica, and A. Togbé, On a Diophantine equation of Stroeker, Bull. Belg. Math. Soc. Simon Stevin (2008), 10.
Florian Luca and Peter Gareth Walsh, On a sequence of integers arising from simultaneous Pell equations, Funct. Approx. Comment. Math. 38 (2008), no. , part 2, 221–226.^[MR/link]
Melissa L. Macasieb, Derived arithmetic Fuchsian groups of genus two, Experiment. Math. 17 (2008), no. 3, 347–369.^[MR/arXiv]
Kay Magaard, E. A. O'Brien, and Ákos Seress, Recognition of small dimensional representations of general linear groups, J. Aust. Math. Soc. 85 (2008), no. 2, 229–250.^[MR]
Michelle Manes, Q-rational cycles for degree-2 rational maps having an automorphism, Proc. Lond. Math. Soc. (3) 96 (2008), no. 3, 669–696.^[MR]
José M. Martín-García, xPerm: Fast index canonicalization for tensor computer algebra, Comput. Phys. Comm. 179 (2008), no. 8, 597–603.^[doi/arXiv]
Coy L. May and Jay Zimmerman, The groups of symmetric genus σ ≤ 8, Comm. Algebra 36 (2008), no. 11, 4078–4095.^[MR]
Coy L. May and Jay Zimmerman, The symmetric genus of groups of odd order, Houston J. Math. 34 (2008), no. 2, 319–338.^[MR]
Kelly McKinnie, Indecomposable p-algebras and Galois subfields in generic abelian crossed products, J. Algebra 320 (2008), no. 5, 1887–1907.^[MR/arXiv]
C. A. Melchor and P. Gaborit, On the classification of extremal [36,18,8] binary self-dual codes, IEEE Trans. Inform. Theory 54 (2008), no. 10, 4743-4750.^[doi]
Sihem Mesnager, P. Solé, and Steven T. Dougherty, Secret sharing schemes based on self-dual codes, Information Theory Workshop, 2008. ITW '08. IEEE (2008), 338–342.
Gerhard O. Michler and Lizhong Wang, Another existence and uniqueness proof of the Tits group, Algebra Colloq. 15 (2008), no. 2, 241–278.^[MR]
J. Miret, R. Moreno, D. Sadornil, J. Tena, and M. Valls, Computing the height of volcanoes of l-isogenies of elliptic curves over finite fields, Appl. Math. Comput. 196 (2008), no. 1, 67–76.^[MR]
Mohammad Reza R. Moghaddam, Ali Reza Salemkar, and Taghi Karimi, Some inequalities for the order of the Schur multiplier of a pair of groups, Comm. Algebra 36 (2008), no. 7, 2481–2486.^[MR]
Mohamed Saied Emam Mohamed, Jintai Ding, and Johannes Buchmann, Algebraic cryptanalysis of MQQ public key cryptosystem by mutantxl, IACR (2008).^[eprint]
Mohamed Saied Emam Mohamed, Wael Said Abd Elmageed Mohamed, Jintai Ding, and Johannes Buchmann, MXL2: solving polynomial equations over GF(2) using an improved mutant strategy, Post-Quantum Cryptography, Lecture Notes in Comput. Sci., vol. 5299, Springer, Berlin, 2008, pp. 203–215.
Marko Moisio, Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm, Acta Arith. 132 (2008), no. 4, 329–350.^[MR/arXiv]
Bernard Mourrain and Philippe Trébuchet, Stable normal forms for polynomial system solving, Theoret. Comput. Sci. 409 (2008), no. 2, 229–240.^[MR/doi]
F. S. Abu Muriefah, F. Luca, S. Siksek, and S. Tengely, On the Diophantine equation x²+C=2yⁿ, Int. J. Number Theory (2008).
Mona B. Musa, On some double circulant binary extended quadratic residue codes, IEEE Trans. Inform. Theory 54 (2008), no. 2, 898–905.^[MR]
Tetsuo Nakano, On the moduli space of pointed algebraic curves of low genus. II. Rationality, Tokyo J. Math. 31 (2008), no. 1, 147–160.^[MR]
Tran Ngoc Nam, Transfert algébrique et action du groupe linéaire sur les puissances divisées modulo 2, Ann. Inst. Fourier (Grenoble) 58 (2008), no. 5, 1785–1837.^[MR/link]
Gabriele Nebe and Chaoping Xing, A Gilbert-Varshamov type bound for Euclidean packings, Math. Comp. 77 (2008), no. 264, 2339–2344.^[MR]
Max Neunhöffer and Cheryl E. Praeger, Computing minimal polynomials of matrices, LMS J. Comput. Math. 11 (2008), 252–279.^[MR]
Mara D. Neusel and Müfit Sezer, The invariants of modular indecomposable representations of Z_p², Math. Ann. 341 (2008), no. 3, 575–587.^[MR]
M. F. Newman, Automorphism groups of free groups, J. Aust. Math. Soc. 85 (2008), no. 3, 341–345.^[MR/doi]
Laura Hitt O'Connor, Gary McGuire, Michael Naehrig, and Marco Streng, CM construction of genus 2 curves with p-rank 1, preprint (2008), 19 pages.^[arXiv]
Naoki Ogura and Shigenori Uchiyama, Remarks on the attack of Fouque et al. against the lIC scheme, IACR (2008).^[eprint]
Ayoub Otmani, Jean-Pierre Tillich, and Leonard Dallot, Cryptanalysis of two McEliece cryptosystems based on quasi-cyclic codes, preprint (2008), 17 pages.^[arXiv]
Manabu Oura, Cris Poor, and David S. Yuen, Towards the Siegel ring in genus four, Int. J. Number Theory 4 (2008), no. 4, 563–586.^[MR]
F. Pambianco and L. Storme, Minimal blocking sets in PG(2,9), Ars Combin. 89 (2008), 223–234.^[MR]
Christopher Parker and Peter Rowley, A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups, J. Algebra 319 (2008), no. 4, 1752–1775.^[MR]
Geoffrey Pearce, Examples of rank 3 product action transitive decompositions, Des. Codes Cryptogr. 47 (2008), no. 1-3, 289–303.^[MR]
J. Pernas, J. Pujol, and M. Villanueva, Kernel dimension for some families of quaternary Reed-Muller codes, Information Security, Lecture Notes in Comput. Sci., vol. 5393, Springer, Berlin, 2008, pp. 128–141.
Norbert Peyerimhoff and Alina Vdovina, Cayley graph expanders and groups of finite width, preprint (2008), 18 pages.^[arXiv]
Francesco Dalla Piazza and Bert van Geemen, Siegel modular forms and finite symplectic groups, preprint (2008), 33 pages.^[arXiv]
Adolfo Piperno, Search space contraction in canonical labeling of graphs (preliminary version), preprint (2008).^[arXiv]
Michel Planat and Philippe Jorrand, Group theory for quantum gates and quantum coherence, J. Phys. A 41 (2008), no. 18, 182001, 8.^[MR/arXiv]
Vladimir L. Popov, Irregular and singular loci of commuting varieties, Transform. Groups 13 (2008), no. 3-4, 819–837.^[arXiv]
Håvard Raddum and Igor Semaev, Solving multiple right hand sides linear equations, Des. Codes Cryptogr. 49 (2008), no. 1-3, 147–160.^[MR/eprint]
Colin Reid, A problem in the Kourovka notebook concerning the number of conjugacy classes of a finite group, preprint (2008), 25 pages.^[arXiv]
Jonathan Reynolds, Extending Siegel's theorem for elliptic curves, PhD Thesis, University of East Anglia, 2008.^[link]
Guillaume Ricotta and Thomas Vidick, Hauteur asymptotique des points de Heegner, Canad. J. Math. 60 (2008), no. 6, 1406–1436.^[MR]
Daniel Robbins, Broue's abelian defect group conjecture for the Tits group, preprint (2008), 23 pages.^[arXiv]
B. G. Rodrigues, Self-orthogonal designs and codes from the symplectic groups S₄(3) and S₄(4), Discrete Math. 308 (2008), no. 10, 1941–1950.^[MR]
Jeremy Rouse, Bounds for the coefficients of powers of the Delta-function, Bull. London Math. Soc. 40 (2008), no. 6, 1081-1090.^[doi]
Sasha Rubin, Automata presenting structures: a survey of the finite string case, Bull. Symbolic Logic 14 (2008), no. 2, 169–209.^[MR]
Kira Samol and Duco van Straten, Frobenius polynomials for Calabi-Yau equations, Commun. Number Theory Phys. 2 (2008), no. 3, 537–561.^[MR/arXiv]
Chekad Sarami and Vladimir D. Tonchev, Cyclic quasi-symmetric designs and self-orthogonal codes of length 63, J. Statist. Plann. Inference 138 (2008), no. 1, 80–85.^[MR]
Neil Saunders, Minimal faithful permutation degrees for irreducible Coxeter groups, preprint (2008), 11 pages.^[arXiv]
Marcus du Sautoy and Luke Woodward, Nilpotent groups: explicit examples, Zeta Functions of Groups and Rings, Lecture Notes in Computer Science, vol. 1925/2008, Springer Berlin / Heidelberg, 2008, pp. 21–68.
Mohamed Sayed, Combinatorial method in the coset enumeration of symmetrically generated groups, Int. J. Comput. Math. 85 (2008), no. 7, 993–1001.^[MR]
Luciano Sbaiz, Patrick Vandewalle, and Martin Vetterli, Groebner basis methods for multichannel sampling with unknown offsets, Appl. Comput. Harmon. Anal. 25 (2008), no. 3, 277–294.^[doi]
Michael M. Schein, Weights in Serre's conjecture for Hilbert modular forms: the ramified case, Israel J. Math. 166 (2008), 369–391.^[MR]
Josef Schicho and David Sevilla, Tschirnhaus-Weierstrass curves, preprint (2008), 14 pages.^[arXiv]
René Schoof, Computing Arakelov class groups, Algorithmic number theory: lattices, number fields, curves and cryptography, Math. Sci. Res. Inst. Publ., vol. 44, Cambridge Univ. Press, Cambridge, 2008, pp. 447–495.^[MR/arXiv]
Stefan Schröer, Singularities appearing on generic fibers of morphisms between smooth schemes, Michigan Math. J. 56 (2008), no. 1, 55–76.^{[MR/doi/arXiv]}
Romyar T. Sharifi, On Galois groups of unramified pro-p extensions, Math. Ann. 342 (2008), no. 2, 297–308.^[MR]
R. Shaw, The polynomial degrees of Grassmann and Segre varieties over GF(2), Discrete Math. 308 (2008), no. 5-6, 872–879.^[MR]
Junichi Shigezumi, On 3-lattices and spherical designs, preprint (2008), 199 pages.^[arXiv]
Benjamin Smith, Isogenies and the discrete logarithm problem in Jacobians of genus 3 hyperelliptic curves, Advances in Cryptology, Eurocrypt 2008, Lecture Notes in Computer Science, vol. 4965, Springer Berlin/Heidelberg, 2008, pp. 163–180.^[eprint]
Britta Späth, The McKay conjecture for exceptional groups and odd primes, Math. Z. Online first (2008), 25.
P. Christopher Staecker, Remnant properties in nielsen coincidence theory, preprint (2008), 16 pages.^[arXiv]
William A. Stein, An introduction to computing modular forms using modular symbols, Algorithmic number theory: lattices, number fields, curves and cryptography, Math. Sci. Res. Inst. Publ., vol. 44, Cambridge Univ. Press, Cambridge, 2008, pp. 641–652.^[MR]
Rainer Steinwandt and Viktória I. Villányi, A one-time signature using run-length encoding, Inform. Process. Lett. 108 (2008), no. 4, 179–185.^[MR]
Michael Stoll, Rational 6-cycles under iteration of quadratic polynomials, LMS J. Comput. Math. 11 (2008), 367–380.^[arXiv]
Katsuyuki Takashima, Efficiently computable distortion maps for supersingular curves, Algorithmic Number Theory, Lecture Notes in Computer Science, vol. 5011, Springer Berlin/Heidelberg, 2008, pp. 88–101.
Satoru Tanaka and Ken Nakamula, Constructing pairing-friendly elliptic curves using factorization of cyclotomic polynomials, Pairing-Based Cryptography, Pairing 2008, Lecture Notes in Computer Science, vol. 5209, Springer, 2008, pp. 136–145.
Sz. Tengely, Note on the paper: "An extension of a theorem of Euler" by N. Hirata-Kohno, S. Laishram, T. N. Shorey and R. Tijdeman, Acta Arith. 134 (2008), no. 4, 329–335.^[MR]
Thotsaphon Thongjunthug, Computing a lower bound for the canonical height on elliptic curves over totally real number fields, Algorithmic Number Theory, Lecture Notes in Computer Science, vol. 5011, Springer, 2008, pp. 139-152.
Shigeo Tsujii, Kohtaro Tadaki, and Ryou Fujita, Nonlinear piece-in-hand matrix method for enhancing security of multivariate public key cryptosystems, IACR (2008).^[eprint]
Anthony Várilly-Alvarado, Weak approximation on del Pezzo surfaces of degree 1, Adv. Math. 219 (2008), no. 6, 2123–2145.^[MR]
Roope Vehkalahti, Class field theoretic methods in the design of lattice signal constellations, PhD Thesis, University of Turku, 2008.
Frederik Vercauteren, The hidden root problem, Pairing-Based Cryptography - Pairing, Lecture Notes in Computer Science, vol. 5209, SpringerLink, Berlin, 2008, pp. 89–99.
Bogdan G. Vioreanu, Mordell-Weil problem for cubic surfaces, numerical evidence, preprint (2008), 22 pages.^[arXiv]
Yimin Wang, Bastiaan J. Braams, Joel M. Bowman, Stuart Carter, and D. P. Tew, Full-dimensional quantum calculations of ground-state tunneling splitting of malonaldehyde using an accurate ab initio potential energy surface, J. Chem. Phys 128 (2008), no. 224314, 9 pages.
Yimin Wang, Stuart Carter, Bastiaan J. Braams, and Joel M. Bowman, Multimode quantum calculations of intramolecular vibrational energies of the water dimer and trimer using ab initio-based potential energy surfaces, J. Chem. Phys 128 (2008), no. 071101, 5 pages.
Zhiwei Wang, Xuyun Nie, Shihui Zheng, Yixian Yang, and Zhihui Zhang, A new construction of multivariate Public Key Encryption Scheme through internally perturbed plus, Computational Science and Its Applications, ICCSA 2008, Lecture Notes in Computer Science, vol. 5073, Springer, 2008, pp. 1-13.
Kenneth L. Wantz, Unitals in the regular nearfield planes, J. Geom. 88 (2008), no. 1-2, 169–177.^[MR]
Mark Watkins, Some heuristics about elliptic curves, Experiment. Math. 17 (2008), no. 1, 105–125.^[MR/arXiv]
Oliver Wienand, Markus Wedler, Dominik Stoffel, Wolfgang Kunz, and Gert-Martin Greuel, An algebraic approach for proving data correctness in arithmetic data paths, Computer Aided Verification, Lecture Notes in Computer Science, vol. 5123, Springer Berlin/Heidelberg, 2008, pp. 473–486.
Gabor Wiese, On projective linear groups over finite fields as Galois groups over the rational numbers, Edixhoven, Bas et al., Modular forms on Schiermonnikoog. Based on the conference on modular forms, Schiermonnikoog, Netherlands, October 2006, Cambridge University Press, Cambridge, 2008, pp. 343–350.^[arXiv]
Mark Wildon, Character values and decomposition matrices of symmetric groups, J. Algebra 319 (2008), no. 8, 3382–3397.^[MR/arXiv]
Rolf Stefan Wilke, On rational embeddings of curves in the second Garcia-Stichtenoth tower, Finite Fields Appl. 14 (2008), no. 2, 494–504.^[MR]
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Chaoping Xing and Sze Ling Yeo, Construction of global function fields from linear codes and vice versa, Trans. Amer. Math. Soc. 361 (2008), no. 3, 1333-1349.
Jian Xu, MEI - A module system for mechanized mathematics, PhD Thesis, McMasters University, 2008.^[link]
Radinka Aleksandrova Yorgova, On binary self-dual codes with automorphisms, IEEE Trans. Inform. Theory 54 (2008), no. 7, 3345–3351.^[MR/doi]
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Fangguo Zhang, Twisted ate pairing on hyperelliptic curves and applications, IACR (2008), 15 pages.^[eprint]
Chang-An Zhao, Fangguo Zhang, and Jiwu Huang, All pairings are in a group, IEICE Trans A: Fundamentals E91-A (2008), no. 10, 3084-3087.^[doi]

2009

Kanat Abdukhalikov and Rudolf Scharlau, Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers, Math. Comp. 78 (2009), no. 265, 387–403.^[MR]
Jaume Aguadé, Four lines in space, J. Geom. 92 (2009), no. 1-2, 1–16.^[MR/doi]
Jaume Aguadé, The arboreal approach to pairs of involutions in rank two, Comm. Algebra 37 (2009), no. 3, 1104–1116.^[MR/doi]
Shabnam Akhtari, The diophantine equation aX⁴ – bY² = 1, Journal fur die Reine und Angewandte Mathematik, to appear (2009), 20 pages.^[arXiv]
Shabnam Akhtari, The method of Thue-Siegel for binary quartic forms, preprint (2009), 35 pages.^[arXiv]
Maximilian Albert and Annette Maier, Additive polynomials for finite groups of Lie type, preprint (2009), 59 pages.^[arXiv]
Martin Albrecht and Carlos Cid, Algebraic techniques in differential cryptanalysis, Fast Software Encryption, Lecture Notes in Computer Science, vol. 5665, Springer, 2009, pp. 193–208.^[doi/eprint]
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