ENGLISH

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

By Arkadii Slinko

Book information

Publisher
Springer
Year
2015
ISBN
3319219502, 9783319219509
DOI
10.1007/978-3-319-21951-6
Language
english
Format
PDF
Filesize
3 MB (3104378 bytes)
Series
Springer Undergraduate Mathematics Series
Edition
1st ed. 2015
Pages
328\336
Topic
Mathematics Algebra
Time added
2015-10-06 14:18:36
Algebra; Information and CommunicationCircuits; Discrete Mathematics

Description

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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