Topics in Finite Fields

Häftad, Engelska, 2015

Av Gohar Kyureghyan, Gary L. Mullen, Alexander Pott

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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.

Produktinformation

Utgivningsdatum2015-03-30
Vikt528 g
FormatHäftad
SpråkEngelska
FörlagAmerican Mathematical Society
ISBN9780821898604

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New recursive construction of normal polynomials over finite fields by S. Abrahamyan and M. KyureghyanCollineation groups strongly irreducible on an oval in a projective plane of odd order by A. Aguglia and G. KorchmarosOn the solvability of certain equations over finite fields by I. N. BaoulinaOn automorphism groups of binary linear codes by M. BorelloExtended differential properties of cryptographic functions by A. Canteaut and J. RoueA divisibility criterion for exceptional APN functions by F. CaulleryNon weakly regular bent polynomials from vectorial quadratic functions by A. Cesmelioglu and W. MeidlStrongly regular graphs arising from Hermitian varieties by A. Cossidente, G. Korchmaros, and G. MarinoGeneralized rank weights: A duality statement by J. DucoatAn upper bound for the number of Galois points for a plane curve by S. FukasawaA generalization of the nonlinear combination generator by R. GottfertDedekind sums with a parameter in function fields by Y. HamahataNumbers of points of hypersurfaces without lines over finite fields by M. HommaOptimal binary subspace codes of length 6, constant dimension 3 and minimum subspace distance 7 by T. Honold, M. Kiermaier, and S. KurzA survey of permutation binomials and trinomials over finite fields by X.-D. HouComputing class groups of function fields using stark units by M.-D. Huang and A. K. NarayananFinding primitive elements in finite fields of small characteristic by M.-D. Huang and A. K. NarayananThe coset leader and list weight enumerator by R. Jurrius and R. PellikaanWieferich past and future by N. M. KatzField reduction and linear sets in finite geometry by M. Lavrauw and G. Van de VoordeBent functions from spreads by S. MesnagerOn the characterization of a semi-multiplicative analogue of planar functions over finite fields by A. Muratovic-Ribic, A. Pott, D. Thomson, and Q. WangA solution of an equivalence problem for semisimple cyclic codes by M. MuzychukOn cross joining de Bruijn sequences by J. Mykkeltveit and J. SzmidtAmbiguity and deficiency of reversed Dickson permutations by D. Panario, A. Sakzad, and D. ThomsonFrom near-bent to bent: A special case by J. Wolfmann