Algebra for Cryptologists. 1st ed. 2016

種類:

電子ブック

責任表示:

by Alko R. Meijer

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2016

著者名:

• Meijer, Alko R.
• SpringerLink (Online service)

シリーズ名:

Springer Undergraduate Texts in Mathematics and Technology ;

ISBN:

9783319303963 [3319303961]    

注記:

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. .
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 o

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