Arithmetic of Finite Fields

Language: English

Published by Springer, Springer Jun 2007, 2007

3540730737 / 9783540730736

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This item is printed on demand - Print on Demand Titel. Neuware -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 ECCandAES 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 ).Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 372 pp. Englisch.

Seller Inventory # 9783540730736

Title
Arithmetic of Finite Fields
Author
Claude Carlet
Publisher
Springer, Springer Jun 2007
Publication year
2007
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540730737
ISBN 13
9783540730736
Item weight
563 grams
Dimensions
235x155x21 mm

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