Topics in finite fields : 11th International Conference, Finite Fields and their Applications, July 22-26, 2013, Magdeburg, Germany / Gohar Kyureghyan, Gary L. Mullen, Alexander Pott, editors
Published
Providence, Rhode Island : American Mathematical Society, [2015]
"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."
