Bent Functions: Results and Applications to Cryptography

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9780128023181: Bent Functions: Results and Applications to Cryptography

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

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About the Author:

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.

About the Author:

Dr. Tokareva 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.

Research interests:
Boolean functions in cryptography, Bent functions, Block and stream ciphers, Cryptanalysis, Coding theory, Combinatorics, Algebra

Teaching:
Courses on cryptology at the Department of Mechanics and Mathematics in Novosibirsk State University. Chief of the seminar "Cryptography and cryptanalysis" at the Sobolev Institute of Mathematics. Supervisor for BS, MS, and PhD students in discrete mathematics and cryptology.

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Book Description Elsevier Science Publishing Co Inc, United States, 2015. Paperback. Book Condition: New. 229 x 152 mm. Language: English . Brand New Book. 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. Bookseller Inventory # AA59780128023181

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Book Description Elsevier Science Publishing Co Inc, United States, 2015. Paperback. Book Condition: New. 229 x 152 mm. Language: English . Brand New Book. 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. Bookseller Inventory # AA59780128023181

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Book Description Elsevier Science Publishing Co Inc. Paperback. Book Condition: new. BRAND NEW, Bent Functions: Results and Applications to Cryptography, Natalia Tokareva, 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. Bookseller Inventory # B9780128023181

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