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

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

9783319219516 electronic book
3319219510 electronic book
9783319219509
3319219502

Cham : Springer, 2015.

English

1 online resource (xiv, 328 pages) : illustrations (some color).

10.1007/978-3-319-21951-6 doi

QA152.3

512

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.

Includes bibliographical references.

Access limited to authorized users.

Online resource; title from PDF title page (SpringerLink, viewed August 28, 2015).

Springer undergraduate mathematics series.

Print version: 9783319219509

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