Construction and Analysis of Cryptographic Functions (eBook)

Lilya Budaghyan (Autor)

eBook Download: PDF

2015 | 2014
VIII, 168 Seiten
Springer International Publishing (Verlag)
978-3-319-12991-4 (ISBN)

Infos

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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 6.1.2015
• Zusatzinfo: VIII, 168 p.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Informatik ► Netzwerke ► Sicherheit / Firewall
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: Almost bent function • Almost perfect nonlinear function • bent function • boolean function • CCZ-equivalence • combinatorics • Commutative semifield • EA-equivalence • nonlinearity • Planar function • S-box
• ISBN-10: 3-319-12991-0 / 3319129910
• ISBN-13: 978-3-319-12991-4 / 9783319129914