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Algebra for cryptologists

Meijer, Alko R.

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Algebra for cryptologists

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebra for cryptologists/ by Alko R. Meijer.
作者:	Meijer, Alko R.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xiv, 301 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Data encryption (Computer science) - Mathematics. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-30396-3
ISBN:	9783319303963$q(electronic bk.)

Algebra for cryptologists
Meijer, Alko R.

Algebra for cryptologists[electronic resource] /by Alko R. Meijer. - Cham :Springer International Publishing :2016. - xiv, 301 p. :ill., digital ;24 cm. - Springer undergraduate texts in mathematics and technology,1867-5506. - Springer undergraduate texts in mathematics and technology..

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 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.

ISBN: 9783319303963$q(electronic bk.)

Standard No.: 10.1007/978-3-319-30396-3doiSubjects--Topical Terms:

1569392
Data encryption (Computer science)
--Mathematics.

LC Class. No.: QA76.9.A25

Dewey Class. No.: 005.82

Algebra for cryptologists
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520 $a 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.
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