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Construction and analysis of cryptographic functions / / by Lilya Budaghyan



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Autore: Budaghyan Lilya Visualizza persona
Titolo: Construction and analysis of cryptographic functions / / by Lilya Budaghyan Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Edizione: 1st ed. 2014.
Descrizione fisica: 1 online resource (172 p.)
Disciplina: 003.54
004
005.82
511.6
Soggetto topico: Coding theory
Information theory
Data encryption (Computer science)
Difference equations
Functional equations
Combinatorial analysis
Coding and Information Theory
Cryptology
Difference and Functional Equations
Combinatorics
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Introduction -- Generalities -- Equivalence relations of functions -- Bent functions -- New classes of APN and AB polynomials -- Construction of planar functions.
Sommario/riassunto: 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.
Titolo autorizzato: Construction and Analysis of Cryptographic Functions  Visualizza cluster
ISBN: 3-319-12991-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910298971103321
Lo trovi qui: Univ. Federico II
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