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Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression

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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Detail Information
Series Title
Springer Undergraduate Mathematics Series
Call Number
512 SLI a
Publisher
Cham, Switzerland : Springer Cham.,
Collation
XIV, 328
Language
English
ISBN/ISSN
978-3-319-21951-6
Classification
512
Content Type
text
Media Type
computer
Carrier Type
online resource
Edition
Ed. 1
Subject(s)
ALGEBRA
Mathematical Applications in Computer Science
Specific Detail Info
-
Statement of Responsibility
Other Information
Cataloger
umi
Source
https://link.springer.com/content/pdf/10.1007/978-3-319-21951-6.pdf?pdf=button
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