Topics in finite fields : 11th International Conference, Finite Fields and their Applications, July 22-26, 2013, Magdeburg, Germany

書誌事項

Topics in finite fields : 11th International Conference, Finite Fields and their Applications, July 22-26, 2013, Magdeburg, Germany

Gohar Kyureghyan, Gary L. Mullen, Alexander Pott, editors

(Contemporary mathematics, 632)

American Mathematical Society, c2015

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注記

Includes bibliographical references

内容説明・目次

内容説明

This volume contains the proceedings of the 11th International Conference on Finite Fields and their Applications (Fq11), held July 22-26, 2013, in Magdeburg, Germany. Finite Fields are fundamental structures in mathematics. They lead to interesting deep problems in number theory, play a major role in combinatorics and finite geometry, and have a vast amount of applications in computer science. Papers in this volume cover these aspects of finite fields as well as applications in coding theory and cryptography.

目次

New recursive construction of normal polynomials over finite fields by S. Abrahamyan and M. Kyureghyan Collineation groups strongly irreducible on an oval in a projective plane of odd order by A. Aguglia and G. Korchmaros On the solvability of certain equations over finite fields by I. N. Baoulina On automorphism groups of binary linear codes by M. Borello Extended differential properties of cryptographic functions by A. Canteaut and J. Roue A divisibility criterion for exceptional APN functions by F. Caullery Non weakly regular bent polynomials from vectorial quadratic functions by A. Cesmelioglu and W. Meidl Strongly regular graphs arising from Hermitian varieties by A. Cossidente, G. Korchmaros, and G. Marino Generalized rank weights: A duality statement by J. Ducoat An upper bound for the number of Galois points for a plane curve by S. Fukasawa A generalization of the nonlinear combination generator by R. Gottfert Dedekind sums with a parameter in function fields by Y. Hamahata Numbers of points of hypersurfaces without lines over finite fields by M. Homma Optimal binary subspace codes of length 6, constant dimension 3 and minimum subspace distance 7 by T. Honold, M. Kiermaier, and S. Kurz A survey of permutation binomials and trinomials over finite fields by X.-D. Hou Computing class groups of function fields using stark units by M.-D. Huang and A. K. Narayanan Finding primitive elements in finite fields of small characteristic by M.-D. Huang and A. K. Narayanan The coset leader and list weight enumerator by R. Jurrius and R. Pellikaan Wieferich past and future by N. M. Katz Field reduction and linear sets in finite geometry by M. Lavrauw and G. Van de Voorde Bent functions from spreads by S. Mesnager On the characterization of a semi-multiplicative analogue of planar functions over finite fields by A. Muratovic-Ribic, A. Pott, D. Thomson, and Q. Wang A solution of an equivalence problem for semisimple cyclic codes by M. Muzychuk On cross joining de Bruijn sequences by J. Mykkeltveit and J. Szmidt Ambiguity and deficiency of reversed Dickson permutations by D. Panario, A. Sakzad, and D. Thomson From near-bent to bent: A special case by J. Wolfmann

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