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

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: International Conference on Finite Fields and Applications Magdeburg, Germany
Otros Autores: Kyureghyan, Gohar, 1974- (Editor ), Mullen, Gary L. (Editor ), Pott, Alexander, 1961- (Editor )
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2015]
Colección:Contemporary mathematics (American Mathematical Society) ; v. 632.
Temas:
Finite fields (Algebra) > Congresses.
Commutative rings > Congresses.
Combinatorial analysis > Congresses.
Arithmetical algebraic geometry > Congresses.
Group theory > Congresses.
Corps finis > Congrès.
Anneaux commutatifs > Congrès.
Analyse combinatoire > Congrès.
Géométrie algébrique arithmétique > Congrès.
Théorie des groupes > Congrès.
Arithmetical algebraic geometry
Combinatorial analysis
Commutative rings
Finite fields (Algebra)
Group theory
Combinatorics > Designs and configurations > Designs and configurations.
Number theory > Finite fields and commutative rings (number-theoretic aspects) > Finite fields and commutative rings (number-theoretic aspects)
Number theory > Arithmetic algebraic geometry (Diophantine geometry) > Arithmetic algebraic geometry (Diophantine geometry)
Field theory and polynomials > General field theory > General field theory.
Field theory and polynomials > Field extensions > Field extensions.
Field theory and polynomials > Computational aspects of field theory and polynomials > Computational aspects of field theory and polynomials.
Group theory and generalizations > Representation theory of groups > Representation theory of groups.
Geometry > Finite geometry and special incidence structures > Finite geometry and special incidence structures.
Information and communication, circuits > Communication, information > Communication, information.
Information and communication, circuits > Theory of error-correcting codes and error-detecting codes > Theory of error-correcting codes and error-detecting codes.
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • "Cover"; "Title page"; "Contents"; "Preface"; "New recursive construction of normal polynomials over finite fields"; "1. Introduction"; "2. Preliminaries"; "3. Irreducibility of Polynomial Compositions"; "4. Some construction of N-polynomials"; "References"; "Collineation groups strongly irreducible on an oval in a projective plane of odd order"; "1. Introduction"; "2. Preliminary results"; "3. Proof of Theorem 1.1"; "4. Proof of Theorem 1.2"; "References"; "On the solvability of certain equations over finite fields"; "1. Introduction."
  • "2. Preliminary Lemmas"3. Main Results"; "4. Applications"; "Acknowledgement"; "References"; "On automorphism groups of binary linear codes"; "1. Background and notations"; "2. Cyclic group of order (an odd prime)"; "3. Cyclic group of order 2 (an odd prime)"; "4. Dihedral group of order 2 (an odd prime)"; "5. Interaction between fixed codes"; "6. The automorphism group of an extremal self-dual code of length 72"; "References"; "Extended differential properties of cryptographic functions"; "1. Introduction"; "2. Block cipher basics."
  • "3. Differential cryptanalysis"4. New bounds on the maximum probability of two-round differentials"; "5. Sboxes with multiplication-invariant derivatives"; "6. Conclusions"; "Acknowledgements"; "References"; "A divisibility criterion for exceptional APN functions"; "1. Introduction"; "2. The state of the art"; "3. New Results"; "4. Preliminary lemmata"; "5. Proof of theorem 3.1"; "6. Some applications"; "References"; "Non weakly regular bent polynomials from vectorial quadratic functions"; "1. Introduction"; "2. Fourier coefficients for quadratic functions."
  • "3. Generating vectorial quadratic functions with discrete Fourier transform"4. Non weakly regular bent polynomials"; "References"; "Strongly regular graphs arising from Hermitian varieties"; "1. Introduction"; "2. Preliminary results"; "3. Cliques of Î?áæ£*(â??)"; "4. Automorphism groups"; "Acknowledgement"; "References"; "Generalized rank weights: A duality statement"; "1. Introduction"; "2. General properties for the generalized rank weights"; "3. Duality and generalized rank weights : proof of Theorem 1.3"; "References."
  • "An upper bound for the number of Galois points for a plane curve"1. Introduction"; "2. Preliminaries"; "3. Proof"; "References"; "A generalization of the nonlinear combination generator"; "1. Introduction"; "2. Preliminaries"; "3. Results on linear recurring sequences"; "4. Sequences of the form â?? â??+\dotsb+ _{ } _{ }"; "5. Multiplication strong feedback shift registers"; "References"; "Dedekind sums with a parameter in function fields"; "1. Introduction"; "2. Review of higher-dimensional Dedekind sums."

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