Construction and Analysis of Cryptographic Functions
1st Edition
Published on 6. January 2015
VIII, 168 pages
978-3-319-12991-4 (ISBN)
Description
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.
Reviews / Votes
"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)More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VIII, 168 p.
File size
1,69 MB
ISBN-13
978-3-319-12991-4 (9783319129914)
DOI
10.1007/978-3-319-12991-4
Schweitzer Classification
Other editions
Additional editions
Lilya Budaghyan
Construction and Analysis of Cryptographic Functions
Book
01/2015
Springer
€106.99
Shipment within 10-15 days
Content
Introduction.- Generalities.- Equivalence relations of functions.- Bent functions.- New classes of APN and AB polynomials.- Construction of planar functions.
