Boolean Functions in Coding Theory and Cryptography (Translations of Mathematical Monographs)

✍ Scribed by O. A. Loginov, A. A. Salnikov, V. V. Yashchenko

Publisher: American Mathematical Society
Year: 2012
Tongue: English
Leaves: 352
Series: Translations of Mathematical Monographs
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book offers a systematic presentation of cryptographic and code-theoretic aspects of the theory of Boolean functions. Both classical and recent results are thoroughly presented. Prerequisites for the book include basic knowledge of linear algebra, group theory, theory of finite fields, combinatorics, and probability. The book can be used by research mathematicians and graduate students interested in discrete mathematics, coding theory, and cryptography.

✦ Table of Contents

Cover
Hafl title
Title page
Contents
Foreword
Preface
Notation
Arithmetics of finite fields and polynomials
Boolean functions
Classifications of Boolean functions
Linear codes over the field 𝔽₂
Reed-Muller codes
Nonlinearity
Correlation immunity and resiliency
Codes, Boolean mappings and their cryptographic properties
Basics of cryptanalysis
Bibliography
Index
Back Cover

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