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Topics in finite fields / [edited by] Gohar Kyureghyan, Gary L. Mullen and Alexander Pott.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 632.Publication details: Providence : American Mathematical Society, 2015.Description: xi, 371 p. : illustrations ; 26 cmISBN:
  • 9780821898604 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
New recursive construction of normal polynomials over finite fields / Sergey Abrahamyan and Melsik Kyureghyan -- Collineation groups strongly irreducible on an oval in a projective plane of odd order / A. Aguglia and G. Korchmáros -- On the solvability of certain equations over finite fields / Ioulia N. Baoulina -- On automorphism groups of binary linear codes / Martino Borello -- Extended differential properties of cryptographic functions / Anne Canteaut and Joëlle Roue -- A divisibility criterion for exceptional APN functions / Florian Caullery -- Non weakly regular bent polynomials from vectorial quadratic functions / Ayça Çeşmelioglu and Wilfried Meidl -- Strongly regular graphs arising from Hermitian varieties / A. Cossidente, G. Korchmáros and G. Marino -- Generalized rank weights: A duality statement / Jerome Ducoat -- An upper bound for the number of Galois points for a plane curve / Satoru Fukasawa -- A generalization of the nonlinear combination generator / Rainer Gottfert -- Dedekind sums with a parameter in function fields / Yoshinori Hamahata -- Numbers of points of hypersurfaces without lines over finite fields / Masaaki Homma -- Optimal binary subspace codes of length $6$, constant dimension $3$ and minimum subspace distance $4$ / Thomas Honold, Michael Kiermaier and Sascha Kurz -- A survey of permutation binomials and trinomials over finite fields / Xiang-dong Hou -- Computing class groups of function fields using stark units / Ming-Deh Huang and Anand Kumar Narayanan -- Finding primitive elements in finite fields of small characteristic / Ming-Deh Huang and Anand Kumar Narayanan -- The coset leader and list weight enumerator / Relinde Jurrius and Ruud Pellikaan -- Wieferich past and future / Nicholas M. Katz -- Field reduction and linear sets in finite geometry / Michel Lavrauw and Geertrui Van de Voorde -- Bent functions from spreads / Sihem Mesnager -- On the characterization of a semi-multiplicative analogue of planar functions over finite fields / Amela Muratovic-Ribic, Alexander Pott, David Thomson and Qiang Wang -- A solution of an equivalence problem for semisimple cyclic codes / Mikhail Muzychuk -- On cross joining de Bruijn sequences / Johannes Mykkeltveit and Janusz Szmidt -- Ambiguity and deficiency of reversed Dickson permutations / Daniel Panario, Amin Sakzad and David Thomson -- From near-bent to bent: A special case / J. Wolfmann --
Summary: Contains the proceedings of the 11th International Conference on Finite Fields and their Applications (Fq11). 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.
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Includes bibliographical references and index.

New recursive construction of normal polynomials over finite fields / Sergey Abrahamyan and Melsik Kyureghyan -- Collineation groups strongly irreducible on an oval in a projective plane of odd order / A. Aguglia and G. Korchmáros --
On the solvability of certain equations over finite fields / Ioulia N. Baoulina --
On automorphism groups of binary linear codes / Martino Borello --
Extended differential properties of cryptographic functions / Anne Canteaut and Joëlle Roue --
A divisibility criterion for exceptional APN functions / Florian Caullery --
Non weakly regular bent polynomials from vectorial quadratic functions / Ayça Çeşmelioglu and Wilfried Meidl --
Strongly regular graphs arising from Hermitian varieties / A. Cossidente, G. Korchmáros and G. Marino --
Generalized rank weights: A duality statement / Jerome Ducoat --
An upper bound for the number of Galois points for a plane curve / Satoru Fukasawa --
A generalization of the nonlinear combination generator / Rainer Gottfert --
Dedekind sums with a parameter in function fields / Yoshinori Hamahata --
Numbers of points of hypersurfaces without lines over finite fields / Masaaki Homma --
Optimal binary subspace codes of length $6$, constant dimension $3$ and minimum subspace distance $4$ / Thomas Honold, Michael Kiermaier and Sascha Kurz --
A survey of permutation binomials and trinomials over finite fields / Xiang-dong Hou --
Computing class groups of function fields using stark units / Ming-Deh Huang and Anand Kumar Narayanan --
Finding primitive elements in finite fields of small characteristic / Ming-Deh Huang and Anand Kumar Narayanan --
The coset leader and list weight enumerator / Relinde Jurrius and Ruud Pellikaan --
Wieferich past and future / Nicholas M. Katz --
Field reduction and linear sets in finite geometry / Michel Lavrauw and Geertrui Van de Voorde --
Bent functions from spreads / Sihem Mesnager --
On the characterization of a semi-multiplicative analogue of planar functions over finite fields / Amela Muratovic-Ribic, Alexander Pott, David Thomson and Qiang Wang --
A solution of an equivalence problem for semisimple cyclic codes / Mikhail Muzychuk --
On cross joining de Bruijn sequences / Johannes Mykkeltveit and Janusz Szmidt --
Ambiguity and deficiency of reversed Dickson permutations / Daniel Panario, Amin Sakzad and David Thomson --
From near-bent to bent: A special case / J. Wolfmann --

Contains the proceedings of the 11th International Conference on Finite Fields and their Applications (Fq11). 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.

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