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Construction and Analysis of Cryptographic Functions - Lilya Budaghyan

Construction and Analysis of Cryptographic Functions

By: Lilya Budaghyan

eText | 6 January 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.

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Non-FictionMathematicsCalculus & Mathematical AnalysisCalculusComputing & I.T.Computer ScienceReference, Information & Interdisciplinary SubjectsResearch & InformationCoding Theory & CryptologyComputer SecurityData EncryptionCombinatorics & Graph Theory
Differential Calculus & EquationsLibrary & Info SciencesLibrary & Information ServicesInformation theory

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Paperback

Published: 24th September 2016

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