Construction and Analysis of Cryptographic Functions

Lilya Budaghyan

ISBN 10: 3319363581 / ISBN 13: 9783319363585

Editore: Springer, 2016

Construction and Analysis of Cryptographic Functions | Lilya Budaghyan | Taschenbuch | viii | Englisch | 2016 | Springer | EAN 9783319363585 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 103162539

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.

Recensione: “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) 

Dati bibliografici

Titolo: Construction and Analysis of Cryptographic ...
Casa editrice: Springer
Data di pubblicazione: 2016
Legatura: Taschenbuch
Condizione: Neu