Arithmetic of Finite Fields [[electronic resource] ] : First International Workshop, WAIFI 2007, Madrid, Spain, June 21-22, 2007, Proceedings / / edited by Claude Carlet, Berk Sunar

• Record Nr.: UNISA996466075903316
• Pubbl/distr/stampa: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2007
• ISBN: 3-540-73074-5
• Edizione: [1st ed. 2007.]
• Descrizione fisica: 1 online resource (XI, 360 p.)
• Collana: Theoretical Computer Science and General Issues, , 2512-2029 ; ; 4547
• Disciplina: 512.3
• Soggetti: Coding theory; Information theory; Cryptography; Data encryption (Computer science); Computer science—Mathematics; Discrete mathematics; Algorithms; Coding and Information Theory; Cryptology; Discrete Mathematics in Computer Science; Symbolic and Algebraic Manipulation
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Structures 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 ).