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Arithmetic of Finite Fields

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Cover of 'Arithmetic of Finite Fields'

Table of Contents

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    Book Overview
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    Chapter 1 Interpolation of the Double Discrete Logarithm
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    Chapter 2 Finite Dedekind Sums
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    Chapter 3 Transitive q-Ary Functions over Finite Fields or Finite Sets: Counts, Properties and Applications
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    Chapter 4 Fast Point Multiplication on Elliptic Curves without Precomputation
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    Chapter 5 Optimal Extension Field Inversion in the Frequency Domain
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    Chapter 6 Efficient Finite Fields in the Maxima Computer Algebra System
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    Chapter 7 Modular Reduction in GF(2 n ) without Pre-computational Phase
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    Chapter 8 Subquadratic Space Complexity Multiplication over Binary Fields with Dickson Polynomial Representation
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    Chapter 9 Digit-Serial Structures for the Shifted Polynomial Basis Multiplication over Binary Extension Fields
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    Chapter 10 Some Theorems on Planar Mappings
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    Chapter 11 Classifying 8-Bit to 8-Bit S-Boxes Based on Power Mappings from the Point of DDT and LAT Distributions
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    Chapter 12 EA and CCZ Equivalence of Functions over GF (2 n )
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    Chapter 13 On the Number of Two-Weight Cyclic Codes with Composite Parity-Check Polynomials
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    Chapter 14 On Field Size and Success Probability in Network Coding
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    Chapter 15 Montgomery Ladder for All Genus 2 Curves in Characteristic 2
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    Chapter 16 On Cryptographically Significant Mappings over GF(2 n )
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Title
Arithmetic of Finite Fields
Published by
Springer, Berlin, Heidelberg, January 2008
DOI 10.1007/978-3-540-69499-1
ISBNs
978-3-54-069498-4, 978-3-54-069499-1
Editors

Joachim von zur Gathen, José Luis Imaña, Çetin Kaya Koç