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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] |
Mihai Cipu.
Dickson polynomials that are permutations.
Serdica Math. J., 30(2-3):177–194, 2004. |
| [4] |
Stephen D. Cohen.
Finite field elements with specified order and traces.
Des. Codes Cryptogr., 36(3):331–340, 2005. |
| [5] |
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. |
| [6] |
Robert S. Coulter, George Havas, and Marie Henderson.
On decomposition of sub-linearised polynomials.
J. Aust. Math. Soc., 76(3):317–328, 2004. |
| [7] |
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. |
| [8] |
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. |
| [9] |
Marko Moisio.
Kloosterman sums, elliptic curves, and irreducible polynomials with
prescribed trace and norm.
arXiv:0706.2112, 19 pages, 2007. |
| [10] |
Ferruh Özbudak.
Elements of prescribed order, prescribed traces and systems of
rational functions over finite fields.
Des. Codes Cryptogr., 34(1):35–54, 2005. |
| [11] |
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. |
| [12] |
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. |
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