Algebra for Applications : Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression / by Arkadii Slinko.

Format:

Book

Author/Creator:

Slinko, A. M. (Arkadii M.), Author.

Series:

Springer Undergraduate Mathematics Series, 2197-4144

Language:

English

Subjects (All):

Algebra.

Computer science--Mathematics.

Computer science.

Discrete mathematics.

Mathematical Applications in Computer Science.

Discrete Mathematics.

Local Subjects:

Algebra.

Mathematical Applications in Computer Science.

Discrete Mathematics.

Physical Description:

1 online resource (XIV, 328 p. 5 illus., 1 illus. in color.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2015.

Language Note:

English

Summary:

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.

Contents:

Integers

Cryptology

Groups

Fields

Polynomials

Secret Sharing

Error-Correcting Codes

Compression

Appendix A: GAP

Appendix B: Miscellanies

Solutions to Exercises.

Notes:

Bibliographic Level Mode of Issuance: Monograph

ISBN:

3-319-21951-0

OCLC:

919311428