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Algebra for Applications : Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression / by Arkadii Slinko
(Springer Undergraduate Mathematics Series. ISSN:21974144)

1st ed. 2015.
出版者 (Cham : Springer International Publishing : Imprint: Springer)
出版年 2015
大きさ XIV, 328 p. 5 illus., 1 illus. in color : online resource
著者標目 *Slinko, Arkadii author
SpringerLink (Online service)
件 名 LCSH:Algebra
LCSH:Computer science—Mathematics
LCSH:Discrete mathematics
FREE:Algebra
FREE:Mathematical Applications in Computer Science
FREE:Discrete Mathematics
一般注記 Integers -- Cryptology -- Groups -- Fields -- Polynomials -- Secret Sharing -- Error-Correcting Codes -- Compression -- Appendix A: GAP -- Appendix B: Miscellanies -- Solutions to Exercises
This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory. This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such real-life applications as cryptography, secret sharing, error-correcting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to third-year undergraduates, it is self-contained with numerous worked examples and exercises provided to test understanding. It can additionally be used for self-study
HTTP:URL=https://doi.org/10.1007/978-3-319-21951-6
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Springer eBooks 9783319219516
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EB00204743

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データ種別 電子ブック
分 類 LCC:QA150-272
DC23:512
書誌ID 4000117148
ISBN 9783319219516

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