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

By: Contributor(s): Material type: TextTextSeries: Springer Undergraduate Mathematics SeriesPublisher: Cham : Springer International Publishing : Imprint: Springer, 2015Edition: 1st ed. 2015Description: XIV, 328 p. 5 illus., 1 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319219516
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 512 23
LOC classification:
  • QA150-272
Online resources:
Contents:
Integers -- Cryptology -- Groups -- Fields -- Polynomials -- Secret Sharing -- Error-Correcting Codes -- Compression -- Appendix A: GAP -- Appendix B: Miscellanies -- Solutions to Exercises.
In: Springer eBooksSummary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
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Total holds: 0

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.

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