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Bent Functions

Results and Applications to Cryptography

Bent Functions by Natalia Tokareva
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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. 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
Elsevier Science; August 2015
220 pages; ISBN 9780128025550
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Title: Bent Functions
Author: Natalia Tokareva
 
ISBNs
0128025557
9780128023181
9780128025550