Arithmetic of finite fields : first international workshop, WAIFI 2007, Madrid, Spain, June 2007 : proceedings

Table of Contents

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   Book Overview
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   Chapter 1 Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields
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   Chapter 2 Some Notes on d -Form Functions with Difference-Balanced Property
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   Chapter 3 A Note on Modular Forms on Finite Upper Half Planes
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   Chapter 4 A Coprocessor for the Final Exponentiation of the η T Pairing in Characteristic Three
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   Chapter 5 VLSI Implementation of a Functional Unit to Accelerate ECC and AES on 32-Bit Processors
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   Chapter 6 Efficient Multiplication Using Type 2 Optimal Normal Bases
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   Chapter 7 Effects of Optimizations for Software Implementations of Small Binary Field Arithmetic
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   Chapter 8 Software Implementation of Arithmetic in
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    Chapter 9 Complexity Reduction of Constant Matrix Computations over the Binary Field
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    Chapter 10 Towards Optimal Toom-Cook Multiplication for Univariate and Multivariate Polynomials in Characteristic 2 and 0
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    Chapter 11 A Construction of Differentially 4-Uniform Functions from Commutative Semifields of Characteristic 2
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    Chapter 12 Complete Mapping Polynomials over Finite Field F 16
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    Chapter 13 On the Classification of 4 Bit S-Boxes
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    Chapter 14 The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions
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    Chapter 15 New Point Addition Formulae for ECC Applications
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    Chapter 16 Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation
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    Chapter 17 The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic
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    Chapter 18 On Kabatianskii-Krouk-Smeets Signatures
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    Chapter 19 Self-certified Signatures Based on Discrete Logarithms
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    Chapter 20 Attacking the Filter Generator over GF (2 m )
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    Chapter 21 Cyclic Additive and Quantum Stabilizer Codes
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    Chapter 22 Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given
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    Chapter 23 Error Correcting Codes from Quasi-Hadamard Matrices
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    Chapter 24 Fast Computations of Gröbner Bases and Blind Recognitions of Convolutional Codes
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    Chapter 25 A Twin for Euler’s φ Function in $\mathbb{F}_2[X]$
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    Chapter 26 Discrete Phase-Space Structures and Mutually Unbiased Bases
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    Chapter 27 Some Novel Results of p -Adic Component of Primitive Sequences over Z/(p d )