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    Bent Functions: Results and Applications to Cryptography
    Bent Functions: Results and Applications to Cryptography
    Bent Functions: Results and Applications to Cryptography
    Ebook519 pages6 hours

    Bent Functions: Results and Applications to Cryptography

    By Natalia Tokareva

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    About this ebook

    Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions.

    The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more.

    • Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applications
    • Presents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography
    • Appropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers
    LanguageEnglish
    PublisherAcademic Press
    Release dateAug 24, 2015
    ISBN9780128025550
    Bent Functions: Results and Applications to Cryptography
    Author

    Natalia Tokareva

    Dr. Natalia Tokareva is a senior researcher at the Laboratory of Discrete Analysis in the Sobolev Institute of Mathematics and she teaches courses in cryptology in the Department of Mathematics and Mechanics at Novosibirsk State University. She has studied bent functions and their applications for several years, publishing one monograph (in Russian) and more than 12 articles. She has been a participant of many international conferences and seminars and presentations in the area of bent functions, particularly with applications in cryptography. Her research interests include Boolean functions in cryptography, bent functions, block and stream ciphers, cryptanalysis, coding theory, combinatorics, and algebra. She is chief of the seminar "Cryptography and Cryptanalysis" at the Sobolev Institute of Mathematics and she supervises BS, MS, and PhD students in discrete mathematics and cryptology.

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      Book preview

      Bent Functions - Natalia Tokareva

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