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Boolean Functions in Coding Theory and Cryptography

About this Title

O. A. Logachev, Moscow State University, Moscow, Russia, A. A. Salnikov, Moscow State University, Moscow, Russia and V. V. Yashchenko, Moscow State University, Moscow, Russia. Translated by Svetla Nikova

Publication: Translations of Mathematical Monographs
Publication Year: 2012; Volume 241
ISBNs: 978-0-8218-4680-3 (print); 978-1-4704-1626-3 (online)
DOI: https://doi.org/10.1090/mmono/241
MathSciNet review: MR2894507
MSC: Primary 94-06; Secondary 94A60, 94B99, 94C10

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Table of Contents

Front/Back Matter

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Chapters

• Arithmetics of finite fields and polynomials
• Boolean functions
• Classifications of Boolean functions
• Linear codes over the field $\mathbb {F_2}$
• Reed-Muller codes
• Nonlinearity
• Correlation immunity and resiliency
• Codes, Boolean mappings and their cryptographic properties
• Basics of cryptanalysis

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