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Algebra for applications = cryptogra...

Slinko, Arkadii.

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Algebra for applications = cryptography, secret sharing, error-correcting, fingerprinting, compression /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebra for applications/ by Arkadii Slinko.
Reminder of title:	cryptography, secret sharing, error-correcting, fingerprinting, compression /
Author:	Slinko, Arkadii.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xiv, 368 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Integers -- 2 Cryptology -- 3 Groups -- 4 Fields -- 5 Polynomials -- 6 Secret Sharing -- 7 Error-Correcting Codes -- 8 Compression -- Appendix A: GAP -- Appendix B: Miscellanea -- Solutions to Exercises -- Index.
Contained By:	Springer eBooks
Subject:	Algebra. -
Online resource:	https://doi.org/10.1007/978-3-030-44074-9
ISBN:	9783030440749

Algebra for applications = cryptography, secret sharing, error-correcting, fingerprinting, compression /
Slinko, Arkadii.

Algebra for applicationscryptography, secret sharing, error-correcting, fingerprinting, compression /[electronic resource] :by Arkadii Slinko. - Second edition. - Cham :Springer International Publishing :2020. - xiv, 368 p. :ill., digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..

1 Integers -- 2 Cryptology -- 3 Groups -- 4 Fields -- 5 Polynomials -- 6 Secret Sharing -- 7 Error-Correcting Codes -- 8 Compression -- Appendix A: GAP -- Appendix B: Miscellanea -- Solutions to Exercises -- Index.

Modern societies are awash with data that needs to be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from unauthorised access, and transmitted over unreliable channels. All of these operations are based on algebra and number theory and can only be properly understood with a good knowledge of these fields. This textbook provides the mathematical tools and applies them to study key aspects of data transmission such as encryption and compression. Designed for an undergraduate lecture course, this textbook provides all of the background in arithmetic, polynomials, groups, fields, and elliptic curves that is required to understand real-life applications such as cryptography, secret sharing, error-correcting, fingerprinting, and compression of information. It explains in detail how these applications really work. The book uses the free GAP computational package, allowing the reader to develop intuition about computationally hard problems and giving insights into how computational complexity can be used to protect the integrity of data. The first undergraduate textbook to cover such a wide range of applications, including some recent developments, this second edition has been thoroughly revised with the addition of new topics and exercises. Based on a one semester lecture course given to third year undergraduates, it is primarily intended for use as a textbook, while numerous worked examples and solved exercises also make it suitable for self-study.

ISBN: 9783030440749

Standard No.: 10.1007/978-3-030-44074-9doiSubjects--Topical Terms:

516203
Algebra.

LC Class. No.: QA152.3 / .S556 2020

Dewey Class. No.: 004.01512

Algebra for applications = cryptography, secret sharing, error-correcting, fingerprinting, compression /
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505 0 $a 1 Integers -- 2 Cryptology -- 3 Groups -- 4 Fields -- 5 Polynomials -- 6 Secret Sharing -- 7 Error-Correcting Codes -- 8 Compression -- Appendix A: GAP -- Appendix B: Miscellanea -- Solutions to Exercises -- Index.
520 $a Modern societies are awash with data that needs to be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from unauthorised access, and transmitted over unreliable channels. All of these operations are based on algebra and number theory and can only be properly understood with a good knowledge of these fields. This textbook provides the mathematical tools and applies them to study key aspects of data transmission such as encryption and compression. Designed for an undergraduate lecture course, this textbook provides all of the background in arithmetic, polynomials, groups, fields, and elliptic curves that is required to understand real-life applications such as cryptography, secret sharing, error-correcting, fingerprinting, and compression of information. It explains in detail how these applications really work. The book uses the free GAP computational package, allowing the reader to develop intuition about computationally hard problems and giving insights into how computational complexity can be used to protect the integrity of data. The first undergraduate textbook to cover such a wide range of applications, including some recent developments, this second edition has been thoroughly revised with the addition of new topics and exercises. Based on a one semester lecture course given to third year undergraduates, it is primarily intended for use as a textbook, while numerous worked examples and solved exercises also make it suitable for self-study.
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