04746nam 2200709 450 991082022170332120180731044619.01-4704-2220-4(CKB)3150000000020214(EBL)3114316(SSID)ssj0001451540(PQKBManifestationID)11782418(PQKBTitleCode)TC0001451540(PQKBWorkID)11475951(PQKB)11338180(MiAaPQ)EBC3114316(RPAM)18190109(PPN)197102751(EXLCZ)99315000000002021420150416h20152015 uy 0engur|n|---|||||txtccrTopics in finite fields 11th International Conference on Finite Fields and Their Applications, July 22--26, 2013, Magdeburg, Germany /Gohar Kyureghyan, Gary L. Mullen, Alexander Pott, editorsProvidence, Rhode Island :American Mathematical Society,2015.©20151 online resource (371 p.)Contemporary Mathematics,1098-3627 ;632Description based upon print version of record.0-8218-9860-4 Includes bibliographical references at the end of each chapters.""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""""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""""3. Higher-dimensional Dedekind sums with a parameter""Contemporary mathematics (American Mathematical Society) ;632.Group theoryCongressesFinite fields (Algebra)CongressesCommutative ringsCongressesCombinatorial analysisCongressesArithmetical algebraic geometryCongressesGroup theoryFinite fields (Algebra)Commutative ringsCombinatorial analysisArithmetical algebraic geometry512/.305Bxx11Txx11Gxx12Exx12Fxx12Yxx20Cxx51Exx94Axx94BxxmscKyureghyan Gohar1974-Mullen Gary L.Pott Alexander1961-International Conference on Finite Fields and ApplicationsMiAaPQMiAaPQMiAaPQBOOK9910820221703321Topics in finite fields4097411UNINA