By Arkadii Slinko

This booklet examines the connection among arithmetic and knowledge within the glossy international. certainly, sleek societies are awash with info which has to be manipulated in lots of alternative ways: encrypted, compressed, shared among clients in a prescribed demeanour, shielded from an unauthorised entry and transmitted over unreliable channels. All of those operations may be understood simply via someone with wisdom of fundamentals in algebra and quantity theory.

This publication offers the mandatory history in mathematics, polynomials, teams, fields and elliptic curves that's adequate to appreciate such real-life purposes as cryptography, mystery sharing, error-correcting, fingerprinting and compression of data. it's the first to hide many contemporary advancements in those issues. in response to a lecture direction given to third-year undergraduates, it really is self-contained with quite a few labored examples and workouts supplied to check knowing. it may possibly also be used for self-study.

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Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression (Springer Undergraduate Mathematics Series) by Arkadii Slinko


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