LEADER 04746nam 2200709 450 001 9910820221703321 005 20180731044619.0 010 $a1-4704-2220-4 035 $a(CKB)3150000000020214 035 $a(EBL)3114316 035 $a(SSID)ssj0001451540 035 $a(PQKBManifestationID)11782418 035 $a(PQKBTitleCode)TC0001451540 035 $a(PQKBWorkID)11475951 035 $a(PQKB)11338180 035 $a(MiAaPQ)EBC3114316 035 $a(RPAM)18190109 035 $a(PPN)197102751 035 $a(EXLCZ)993150000000020214 100 $a20150416h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTopics in finite fields $e11th International Conference on Finite Fields and Their Applications, July 22--26, 2013, Magdeburg, Germany /$fGohar Kyureghyan, Gary L. Mullen, Alexander Pott, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2015. 210 4$dİ2015 215 $a1 online resource (371 p.) 225 1 $aContemporary Mathematics,$x1098-3627 ;$v632 300 $aDescription based upon print version of record. 311 $a0-8218-9860-4 320 $aIncludes bibliographical references at the end of each chapters. 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""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 a??? a???+\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"" 327 $a""3. Higher-dimensional Dedekind sums with a parameter"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v632. 606 $aGroup theory$vCongresses 606 $aFinite fields (Algebra)$vCongresses 606 $aCommutative rings$vCongresses 606 $aCombinatorial analysis$vCongresses 606 $aArithmetical algebraic geometry$vCongresses 615 0$aGroup theory 615 0$aFinite fields (Algebra) 615 0$aCommutative rings 615 0$aCombinatorial analysis 615 0$aArithmetical algebraic geometry 676 $a512/.3 686 $a05Bxx$a11Txx$a11Gxx$a12Exx$a12Fxx$a12Yxx$a20Cxx$a51Exx$a94Axx$a94Bxx$2msc 702 $aKyureghyan$b Gohar$f1974- 702 $aMullen$b Gary L. 702 $aPott$b Alexander$f1961- 712 12$aInternational Conference on Finite Fields and Applications 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820221703321 996 $aTopics in finite fields$94097411 997 $aUNINA