Algebra for cryptologists

by Meijer, Alko Renzo

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Title Statements

Full title :Algebra for cryptologists / Alko R. Meijer.

Summary

This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. Modern cryptology has been described as the science of the integrity of information, covering all aspects like confidentiality, authenticity and non-repudiation and also including the protocols required for achieving these aims. In both theory and practice it requires notions and constructions from three major disciplines: computer science, electronic engineering and mathematics. Within mathematics, group theory, the theory of finite fields, and elementary number theory as well as some topics not normally covered in courses in algebra, such as the theory of Boolean functions and Shannon theory, are involved. Although essentially self-contained, a degree of mathematical maturity on the part of the reader is assumed, corresponding to his or her background in computer science or engineering. Algebra for Cryptologists is a textbook for an introductory course in cryptography or an upper undergraduate course in algebra, or for self-studyin preparation for postgraduate study in cryptology.

Edition Statements

Publication Date:2016.

Publication Statements

Publisher(s):Springer
Place of Publication:Switzerland
Language:eng
Publication Date:2016.

The Physical Object

Description:1 ressource en ligne (xiv, 301 pages) : : illustrations.

Edition Identifiers

ISBN:3319303961, 9783319303963
DOI:10.1007/978-3-319-30396-3
oclc:on1330206379
LC Classification:QA76.9.A25
Dewey Decimal:005.8/2

Prerequisites and Notation -- Basic Properties of the Integers -- Groups, Rings and Ideals -- Applications to Public Key Cryptography -- Fields -- Properties of Finite Fields -- Applications to Stream Ciphers -- Boolean Functions -- Applications to Block Ciphers -- Number Theory in Public KeyCryptography -- Where do we go from here? -- Probability.