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Construction and Analysis of Cryptographic Functions

von Lilya Budaghyan
Softcover - 9783319363585
74,89 €
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Hardcover - 9783319129907
106,99 €

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Hardcover - 9783319129907
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Beschreibung

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.

Details

Verlag Springer International Publishing
Ersterscheinung 24. September 2016
Maße 23.5 cm x 15.5 cm
Gewicht 277 Gramm
Format Softcover
ISBN-13 9783319363585
Auflage Softcover reprint of the original 1st ed. 2014
Seiten 168