This book focuses on the different representations and cryptographic properties of Booleans functions, presents constructions of Boolean functions with some good cryptographic properties. More specifically, Walsh spectrum description of the traditional cryptographic properties of Boolean functions, including linear structure, propagation criterion, nonlinearity, and correlation immunity are presented. Constructions of symmetric Boolean functions and of Boolean permutations with good cryptographic properties are specifically studied. This book is not meant to be comprehensive, but with its own focus on some original research of the authors in the past. To be self content, some basic concepts and properties are introduced. This book can serve as a reference for cryptographic algorithm designers, particularly the designers of stream ciphers and of block ciphers, and for academics with interest in the cryptographic properties of Boolean functions.
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"The authors present an enjoyable book for young researchers and students working in the area of cryptography and coding. ... The book turns out to be an easy read. I would like to use it as a textbook for a course on BF and their applications. ... I recommend it to people working in the area of coding and cryptography." (Computing Reviews, August, 2017)
"The book gives a very detailed overview of various cryptographic properties of Boolean functions and their applications in cryptography. ... This book can serve as a reference for academics interested in the cryptographic properties of Boolean functions. It is also a valuable tool for the design and security analysis of stream and block ciphers if they employ Boolean functions in their construction." (Vladimír Lacko, zbMATH 1364.94010, 2017)
"The book gives a very detailed overview of various cryptographic properties of Boolean functions and their applications in cryptography. ... This book can serve as a reference for academics interested in the cryptographic properties of Boolean functions. It is also a valuable tool for the design and security analysis of stream and block ciphers if they employ Boolean functions in their construction." (Vladimír Lacko, zbMATH 1364.94010, 2017)