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portada Construction and Analysis of Cryptographic Functions
Type
Physical Book
Author
Publisher
Language
English
Pages
168
Format
Paperback
Dimensions
23.4 x 15.6 x 1.0 cm
Weight
0.26 kg.
ISBN13
9783319363585
Categories

Construction and Analysis of Cryptographic Functions

Lilya Budaghyan (Author) · Springer · Paperback

Construction and Analysis of Cryptographic Functions - Budaghyan, Lilya

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Synopsis "Construction and Analysis of Cryptographic Functions"

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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