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Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. These maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography. This book provides a detailed survey of their main results. It presents a systematic overview of their generalizations and applications, and considers open problems in classification and systematization of bent functions. Appropriate for novices as well as advanced researchers, this book discusses proofs of several results, such as automorphism group of bent functions, lower bound for the number of bent functions, and more. * Systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography* Appropriate coverage for students new to the topic through advanced specialists in cryptography and mathematics and creators of ciphers
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