LEADER 04871nam 22008295 450 001 996466075903316 005 20230221005547.0 010 $a3-540-73074-5 024 7 $a10.1007/978-3-540-73074-3 035 $a(CKB)1000000000490339 035 $a(SSID)ssj0000316329 035 $a(PQKBManifestationID)11261616 035 $a(PQKBTitleCode)TC0000316329 035 $a(PQKBWorkID)10275331 035 $a(PQKB)10450904 035 $a(DE-He213)978-3-540-73074-3 035 $a(MiAaPQ)EBC3063432 035 $a(MiAaPQ)EBC6700314 035 $a(Au-PeEL)EBL6700314 035 $a(PPN)123162955 035 $a(EXLCZ)991000000000490339 100 $a20100301d2007 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aArithmetic of Finite Fields$b[electronic resource] $eFirst International Workshop, WAIFI 2007, Madrid, Spain, June 21-22, 2007, Proceedings /$fedited by Claude Carlet, Berk Sunar 205 $a1st ed. 2007. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2007. 215 $a1 online resource (XI, 360 p.) 225 1 $aTheoretical Computer Science and General Issues,$x2512-2029 ;$v4547 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-73073-7 320 $aIncludes bibliographical references and index. 327 $aStructures in Finite Fields -- Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields -- Some Notes on d-Form Functions with Difference-Balanced Property -- A Note on Modular Forms on Finite Upper Half Planes -- Efficient Implementation and Architectures -- A Coprocessor for the Final Exponentiation of the ? T Pairing in Characteristic Three -- VLSI Implementation of a Functional Unit to Accelerate ECC and AES on 32-Bit Processors -- Efficient Multiplication Using Type 2 Optimal Normal Bases -- Efficient Finite Field Arithmetic -- Effects of Optimizations for Software Implementations of Small Binary Field Arithmetic -- Software Implementation of Arithmetic in -- Complexity Reduction of Constant Matrix Computations over the Binary Field -- Towards Optimal Toom-Cook Multiplication for Univariate and Multivariate Polynomials in Characteristic 2 and 0 -- Classification and Construction of Mappings over Finite Fields -- A Construction of Differentially 4-Uniform Functions from Commutative Semifields of Characteristic 2 -- Complete Mapping Polynomials over Finite Field F 16 -- On the Classification of 4 Bit S-Boxes -- The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions -- Curve Algebra -- New Point Addition Formulae for ECC Applications -- Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation -- The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic -- Cryptography -- On Kabatianskii-Krouk-Smeets Signatures -- Self-certified Signatures Based on Discrete Logarithms -- Attacking the Filter Generator over GF(2 m ) -- Codes -- Cyclic Additive and Quantum Stabilizer Codes -- Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given -- Error Correcting Codes from Quasi-Hadamard Matrices -- Fast Computations of Gröbner Bases and Blind Recognitions of Convolutional Codes -- Discrete Structures -- A Twin for Euler?s ? Function in -- Discrete Phase-Space Structures and Mutually Unbiased Bases -- Some Novel Results of p-Adic Component of Primitive Sequences over Z/(p d ). 410 0$aTheoretical Computer Science and General Issues,$x2512-2029 ;$v4547 606 $aCoding theory 606 $aInformation theory 606 $aCryptography 606 $aData encryption (Computer science) 606 $aComputer science?Mathematics 606 $aDiscrete mathematics 606 $aAlgorithms 606 $aCoding and Information Theory 606 $aCryptology 606 $aDiscrete Mathematics in Computer Science 606 $aAlgorithms 606 $aSymbolic and Algebraic Manipulation 615 0$aCoding theory. 615 0$aInformation theory. 615 0$aCryptography. 615 0$aData encryption (Computer science). 615 0$aComputer science?Mathematics. 615 0$aDiscrete mathematics. 615 0$aAlgorithms. 615 14$aCoding and Information Theory. 615 24$aCryptology. 615 24$aDiscrete Mathematics in Computer Science. 615 24$aAlgorithms. 615 24$aSymbolic and Algebraic Manipulation. 676 $a512.3 702 $aCarlet$b Claude 702 $aSunar$b Berk 712 12$aWAIFI 2007 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466075903316 996 $aArithmetic of Finite Fields$9774277 997 $aUNISA