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

Publication series : Translations of Mathematical Monographs

Author: O. A. Logachev;A. A. Salnikov;V. V. Yashchenko  

Publisher: American Mathematical Society‎

Publication year: 2012

E-ISBN: 9781470416263

P-ISBN(Paperback): 9780821846803

Subject: O157.4 algebraic coding theory (theory)

Keyword: 数学

Language: ENG

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Boolean Functions in Coding Theory and Cryptography

Description

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.

Chapter

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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