By Arkadii Slinko

This ebook examines the connection among arithmetic and knowledge within the glossy international. certainly, glossy societies are awash with information which has to be manipulated in lots of alternative ways: encrypted, compressed, shared among clients in a prescribed demeanour, protected against an unauthorised entry and transmitted over unreliable channels. All of those operations should be understood basically by way of anyone 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 enough to appreciate such real-life purposes as cryptography, mystery sharing, error-correcting, fingerprinting and compression of knowledge. it's the first to hide many contemporary advancements in those issues. in accordance with a lecture path given to third-year undergraduates, it really is self-contained with quite a few labored examples and routines supplied to check knowing. it could actually 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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