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Summary:

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.

Table of Contents:

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

Author/Creator:

Budaghyan, Lilya , author

Languages:

English

Language Notes:

English.

Main Work:

Construction and analysis of cryptographic functions [by Budaghyan, L.]

Subjects:

Functions, Special

Cryptography

Functional equations

General Notes:

Includes bibliographical references.
Description based on: Vendor-supplied metadata.

Physical Description:

1 online resource

Digital Characteristics:

text file

Call Numbers:

QA351 .B833 2014eb

ISBNs:

9783319129914 (electronic bk.)
3319129910 (electronic bk.)
3319129902 (print) [Invalid]
9783319129907 (print) [Invalid]
9783319129907 [Invalid]

Other Standard Numbers:

Digital Object Identifier: 10.1007/978-3-319-12991-4

OCLC Numbers:

899738954