Construction and Analysis of Cryptographic Functions

Nonfiction, Computers, Advanced Computing, Theory, Networking & Communications, Computer Security, Reference & Language, Reference
Cover of the book Construction and Analysis of Cryptographic Functions by Lilya Budaghyan, Springer International Publishing
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Author: Lilya Budaghyan ISBN: 9783319129914
Publisher: Springer International Publishing Publication: January 6, 2015
Imprint: Springer Language: English
Author: Lilya Budaghyan
ISBN: 9783319129914
Publisher: Springer International Publishing
Publication: January 6, 2015
Imprint: Springer
Language: English

This book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions. These functions have optimal resistance to linear and/or differential attacks, which are the two most powerful attacks on symmetric cryptosystems. Besides cryptographic applications, these functions are significant in many branches of mathematics and information theory including coding theory, combinatorics, commutative algebra, finite geometry, sequence design and quantum information theory. The author analyzes equivalence relations for these functions and develops several new methods for construction of their infinite families. In addition, the book offers solutions to two longstanding open problems, including the problem on characterization of APN and AB functions via Boolean, and the problem on the relation between two classes of bent functions.

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This book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions. These functions have optimal resistance to linear and/or differential attacks, which are the two most powerful attacks on symmetric cryptosystems. Besides cryptographic applications, these functions are significant in many branches of mathematics and information theory including coding theory, combinatorics, commutative algebra, finite geometry, sequence design and quantum information theory. The author analyzes equivalence relations for these functions and develops several new methods for construction of their infinite families. In addition, the book offers solutions to two longstanding open problems, including the problem on characterization of APN and AB functions via Boolean, and the problem on the relation between two classes of bent functions.

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