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Algebra for applications[electronic ...

Slinko, Arkadii.

Algebra for applications[electronic resource] :cryptography, secret sharing, error-correcting, fingerprinting, compression /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512
書名/作者:	Algebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression // by Arkadii Slinko.
作者:	Slinko, Arkadii.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xiv, 328 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Algebra.
標題:	Mathematics.
標題:	Information and Communication, Circuits.
標題:	Discrete Mathematics.
ISBN:	9783319219516
ISBN:	9783319219509
內容註:	Integers -- Cryptology -- Groups -- Fields -- Polynomials -- Secret Sharing -- Error-Correcting Codes -- Compression -- Appendix A: GAP -- Appendix B: Miscellanies -- Solutions to Exercises.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21951-6

Algebra for applications[electronic resource] :cryptography, secret sharing, error-correcting, fingerprinting, compression /
Slinko, Arkadii.

Algebra for applicationscryptography, secret sharing, error-correcting, fingerprinting, compression /[electronic resource] :by Arkadii Slinko. - Cham :Springer International Publishing :2015. - xiv, 328 p. :ill. (some col.), digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..

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.

ISBN: 9783319219516

Standard No.: 10.1007/978-3-319-21951-6doiSubjects--Topical Terms:

189734
Algebra.

LC Class. No.: QA152.3

Dewey Class. No.: 512

Algebra for applications[electronic resource] :cryptography, secret sharing, error-correcting, fingerprinting, compression /
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300 $a xiv, 328 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a Integers -- Cryptology -- Groups -- Fields -- Polynomials -- Secret Sharing -- Error-Correcting Codes -- Compression -- Appendix A: GAP -- Appendix B: Miscellanies -- Solutions to Exercises.
520 $a 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.
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