Construction and Analysis of Cryptographic Functions by Lilya BudaghyanConstruction and Analysis of Cryptographic Functions by Lilya Budaghyan

Construction and Analysis of Cryptographic Functions

byLilya Budaghyan

Hardcover | January 26, 2015

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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.
Title:Construction and Analysis of Cryptographic FunctionsFormat:HardcoverDimensions:168 pagesPublished:January 26, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319129902

ISBN - 13:9783319129907

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Table of Contents

Introduction.- Generalities.- Equivalence relations of functions.- Bent functions.- New classes of APN and AB polynomials.- Construction of planar functions.

Editorial Reviews

"The book deals with functions on finite fields that are used in cryptography. . Anybody who is not only interested in the construction of cryptographic relevant function, but who wants to learn also about the problem how to classify functions up to equivalence, should refer to this excellent text." (Alexander Pott, zbMATH 1367.94001, 2017)