Bent Functions
Fundamentals and Results
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Beschreibung
This book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, variations and applications, considers open problems in classification and systematization of bent functions, and discusses proofs of several results. This book uniquely provides a necessary comprehensive coverage of bent functions.It serves as a useful reference for researchers in discrete mathematics, coding and cryptography. Students and professors in mathematics and computer science will also find the content valuable, especially those interested in mathematical foundations of cryptography. It can be used as a supplementary text for university courses on discrete mathematics, Boolean functions, or cryptography, and is appropriate for both basic classes for under-graduate students and advanced courses for specialists in cryptography and mathematics.
Provides a detailed survey of leading results in bent functions Presents a systematic overview of their generalizations and applications Considers open problems in classification and systematization of bent functions Discusses proofs of several results and reflects on recent developments and trends in the field
Autor*in
Sihem Mesnager
Themen in »Bent Functions«
Bent functions Boolean functions Vectorial functions S-boxes Non-linearity Walsh-Hadamard transform Symmetric cryptography Coding theory Combinatorics Plateaued functions Hyper-bent functions Semi-bent functions Near-bent functions Generalized bent functions Difference Sets
Stimmen zu »Bent Functions«
“This book is a very significant contribution to the theory of bent functions and will be useful to advanced students and researchers interested in cryptographic Boolean functions.” (Sugata Gangopadhyay, Mathematical Reviews, October, 2017)
“This book is a comprehensive and very detailed collection of results on bent functions obtained in the decades after their introduction. … The book is addressed to researchers in discrete mathematics and their applications in cryptography or coding theory. It can serve as a comprehensive reference book on topics on (Boolean) bent functions. Furthermore it is interesting for theoretical computer scientists or engineers.” (Wilfried Meidl, zbMATH 1364.94008, 2017)
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