algebra for applications cryptography secret sharing error correcting fingerprinting compression springer undergraduate mathematics series

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Algebra For Applications

Author : Arkadii Slinko
ISBN : 9783319219516
Genre : Mathematics
File Size : 64. 31 MB
Format : PDF
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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.

Gregorii Nysseni Opera

Author : Gregorius Nyssenus
ISBN : 9004081860
Genre : Religion
File Size : 85. 83 MB
Format : PDF, ePub, Mobi
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