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

Description

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 Content: * 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