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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 A Brief History of Pairings
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    Chapter 2 Differential Addition on Binary Elliptic Curves
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    Chapter 3 Adequate Elliptic Curves for Computing the Product of n Pairings
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    Chapter 4 On Pseudorandom Properties of Certain Sequences of Points on Elliptic Curve
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    Chapter 5 Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences
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    Chapter 6 On Sets of Irreducible Polynomials Closed by Composition
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    Chapter 7 A Note on the Brawley-Carlitz Theorem on Irreducibility of Composed Products of Polynomials over Finite Fields
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    Chapter 8 On Arcs and Quadrics
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    Chapter 9 A Generalised Successive Resultants Algorithm
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    Chapter 10 Distribution and Polynomial Interpolation of the Dodis-Yampolskiy Pseudo-Random Function
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    Chapter 11 A Conjecture About Gauss Sums and Bentness of Binomial Boolean Functions
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    Chapter 12 Generalized Bent Functions and Their Gray Images
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    Chapter 13 Enhanced Digital Signature Using RNS Digit Exponent Representation
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    Chapter 14 Efficient Finite Field Multiplication for Isogeny Based Post Quantum Cryptography
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    Chapter 15 A Search Strategy to Optimize the Affine Variant Properties of S-Boxes
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    Chapter 16 A Super-Set of Patterson-Wiedemann Functions – Upper Bounds and Possible Nonlinearities
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    Chapter 17 A Correction and Improvements of Some Recent Results on Walsh Transforms of Gold Type and Kasami-Welch Type Functions
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    Chapter 18 A Practical Group Signature Scheme Based on Rank Metric
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