Boolean Functions and Their Applications in Cryptography

Chuan-Kun Wu, a research professor at the Institute of Information Engineering, Chinese Academy of Sciences, majoring in information security and related fundamental mathematics. He has published over 100 refereed research papers, and has co-authored a few books.Dengguo Feng, a research professor at the Institute of Software, Chinese Academy of Sciences, majoring in information security and cryptology. He has published over 200 refereed research papers, including those published in journals such as "Theoretical Computer Science", "IEEE Trans. on Information Theory", and conference papers presented at Crypto and Eurocrypt. He has published over 20 books and has leaded drafting over 20 international and national standards.

“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)

• 1. Boolean Functions and Their Walsh Transforms.- 2. Independence of Boolean Functions of Their Variables.- 3. Nonlinearity and Linear Structures of Boolean Functions.- 4. Correlation Immunity of Boolean Functions.- 5. Algebraic Immunity of Boolean Functions.- 6. The Symmetric Property of Boolean Functions.- 7.Boolean Function Representation of S-boxes and BooleanPermutations.- 8. Cryptographic Applications of Boolean Functions.