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Finite Fields
11Txx
| [1] |
R. D. Baker, G. L. Ebert, K. H. Leung, and Q. Xiang.
A trace conjecture and flag-transitive affine planes.
J. Combin. Theory Ser. A, 95(1):158–168, 2001. |
| [2] |
Aart Blokhuis, Robert S. Coulter, Marie Henderson, and Christine M. O'Keefe.
Permutations amongst the Dembowski-Ostrom polynomials.
In Finite fields and applications (Augsburg, 1999), pages
37–42. Springer, Berlin, 2001. |
| [3] |
Carl Bracken, Eimear Byrne, Nadya Markin, and Gary McGuire.
A few more quadratic APN functions.
arXiv:0804.4799, 12 pages, 2008. |
| [4] |
Carl Bracken, Eimear Byrne, Nadya Markin, and Gary McGuire.
New families of quadratic almost perfect nonlinear trinomials and
multinomials.
Finite Fields Appl., 14(3):703–714, 2008. |
| [5] |
Marcus Brinkmann and Gregor Leander.
On the classification of APN functions up to dimension five.
Des. Codes Cryptogr., 49(1-3):273–288, 2008. |
| [6] |
Mihai Cipu.
Dickson polynomials that are permutations.
Serdica Math. J., 30(2-3):177–194, 2004. |
| [7] |
Mihai Cipu and Stephen D. Cohen.
Dickson polynomial permutations.
In Finite Fields and Applications, volume 461 of Contemporary Mathematics, 79–91 pages. 2008. |
| [8] |
Stephen D. Cohen.
Finite field elements with specified order and traces.
Des. Codes Cryptogr., 36(3):331–340, 2005. |
| [9] |
Stephen D. Cohen.
Primitive polynomials with a prescribed coefficient.
Finite Fields Appl., 12(3):425–491, 2006. |
| [10] |
Robert S. Coulter, George Havas, and Marie Henderson.
Giesbrecht's algorithm, the HFE cryptosystem and Ore's
ps-polynomials.
In Computer Mathematics (Matsuyama, 2001), volume 9 of Lecture Notes Ser. Comput, pages 36–45. World Sci. Publ., River Edge, NJ,
2001. |
| [11] |
Robert S. Coulter, George Havas, and Marie Henderson.
On decomposition of sub-linearised polynomials.
J. Aust. Math. Soc., 76(3):317–328, 2004. |
| [12] |
Robert S. Coulter and Marie Henderson.
The compositional inverse of a class of permutation polynomials over
a finite field.
Bull. Austral. Math. Soc., 65(3):521–526, 2002. |
| [13] |
Jean-Marc Couveignes and Reynald Lercier.
Elliptic periods for finite fields.
Finite Fields and Their Applications, 15(1):1 – 22, 2009. |
| [14] |
Yves Edel and Alexander Pott.
A new almost perfect nonlinear function which is not quadratic.
Adv. Math. Commun., 3(1):59–81, 2009. |
| [15] |
Ronald Evans, Henk D. L. Hollmann, Christian Krattenthaler, and Qing Xiang.
Gauss sums, Jacobi sums, and p-ranks of cyclic difference sets.
J. Combin. Theory Ser. A, 87(1):74–119, 1999. |
| [16] |
Reza Rezaeian Farashahi and Ruud Pellikaan.
The quadratic extension extractor for (hyper)elliptic curves in odd
characteristic.
In Arithmetic of finite fields, volume 4547 of Lecture
Notes in Comput. Sci., pages 219–236. Springer, Berlin, 2007. |
| [17] |
Kseniya Garaschuk.
On Binary and Ternary Kloosterman Sums.
Ph D thesis, Simon Fraser University, 2007. |
| [18] |
Lenwood S. Heath and Nicholas A. Loehr.
New algorithms for generating Conway polynomials over finite
fields.
In Proceedings of the Tenth Annual ACM-SIAM Symposium
on Discrete Algorithms (Baltimore, MD, 1999), pages 429–437, New
York, 1999. ACM. |
| [19] |
Dae San Kim.
Codes associated with O+(2n, 2r) and power moments of
Kloosterman sums.
arXiv:0807.4671, 9 pages, 2008. |
| [20] |
Dae San Kim.
Codes associated with orthogonal groups and power moments of
Kloosterman sums.
arXiv:0808.3003, 2008. |
| [21] |
Dae San Kim.
Codes associated with special linear groups and power moments of
multi-dimensional Kloosterman sums.
arXiv:0807.3991, 7 pages, 2008. |
| [22] |
Douglas A. Leonard.
A weighted module view of integral closures of affine domains of type
I.
Adv. Math. Commun., 3(1):1–11, 2009. |
| [23] |
Marko Moisio.
Kloosterman sums, elliptic curves, and irreducible polynomials with
prescribed trace and norm.
Acta Arith., 132(4):329–350, 2008. |
| [24] |
Ferruh Özbudak.
Elements of prescribed order, prescribed traces and systems of
rational functions over finite fields.
Des. Codes Cryptogr., 34(1):35–54, 2005. |
| [25] |
B. V. Petrenko.
On the product of two primitive elements of maximal subfields of a
finite field.
J. Pure Appl. Algebra, 178(3):297–306, 2003. |
| [26] |
B. V. Petrenko.
On the sum of two primitive elements of maximal subfields of a finite
field.
Finite Fields Appl., 9(1):102–116, 2003. |
| [27] |
Håvard Raddum and Igor Semaev.
Solving multiple right hand sides linear equations.
Des. Codes Cryptogr., 49(1-3):147–160, 2008. |
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