Arithmetic of Finite Fields [electronic resource] : First International Workshop, WAIFI 2007, Madrid, Spain, June 21-22, 2007, Proceedings / edited by Claude Carlet, Berk Sunar.
Contributor(s): Carlet, Claude [editor.] | Sunar, Berk [editor.] | SpringerLink (Online service).
Material type: BookSeries: Theoretical Computer Science and General Issues: 4547Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007Edition: 1st ed. 2007.Description: XI, 360 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540730743.Subject(s): 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 | Algorithms | Symbolic and Algebraic ManipulationAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 003.54 Online resources: Click here to access onlineStructures 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 CorrectingCodes 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 ).
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