Topics in Finite Fields

Topics in Finite Fields

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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.
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Product details

  • Paperback | 371 pages
  • 178 x 254 x 19.05mm | 521.63g
  • Providence, United States
  • English
  • 0821898604
  • 9780821898604

Table of contents

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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About Gohar M. Kyureghyan

Gohar Kyureghyan, Otto-von-Guericke Universitat, Magdeburg, Germany.

Gary L. Mullen, Pennsylvania State University, University Park, PA, USA.

Alexander Pott, Otto-von-Guericke Universitat, Magdeburg, Germany.
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