Alko R. Meijer: Algebra for Cryptologists

Cover: 9783319303956 | Algebra for Cryptologists | Alko R. Meijer | Buch | xiv | Englisch

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Beschreibung

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-study in preparation for postgraduate study in cryptology.

Über den Autor

Alko R. Meijer spent some 30 years in academia, including 18 years as professor in the Department of Mathematics and Applied Mathematics at the University of Natal, gradually moving from pure Algebra into its applications, before eventually entering the field of cryptology as a full-time occupation. He is currently a director of Ciphertec c.c. which provides consultation services on communication and data storage security, including in-house courses in cryptology for industry. He has served a term of office as president of the South African Mathematical Society and has represented South Africa at international standards committee meetings dealing with cryptology.

Zusammenfassung

Explains the mathematical methods of modern cryptographic design

Examines both secret key and public key cryptosystems

Provides undergraduates with advanced topics in algebra

Includes supplementary material: [...]

Inhaltsverzeichnis

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 Key Cryptography.- Where do we go from here?.- Probability.

Details

Erscheinungsjahr:	2016
Genre:	Informatik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Springer Undergraduate Texts in Mathematics and Technology
Inhalt:	xiv 301 S. 6 s/w Illustr. 301 p. 6 illus.
ISBN-13:	9783319303956
ISBN-10:	3319303953
Sprache:	Englisch
Herstellernummer:	978-3-319-30395-6
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Meijer, Alko R.
Auflage:	1st ed. 2016
Hersteller:	Springer Nature Switzerland Springer International Publishing Springer International Publishing AG Springer Undergraduate Texts in Mathematics and Technology
Maße:	260 x 183 x 23 mm
Von/Mit:	Alko R. Meijer
Erscheinungsdatum:	09.09.2016
Gewicht:	0,794 kg

Artikel-ID: 103982817