Gröbner Bases, Coding, and Cryptography

Language: English

Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2009

3540938052 / 9783540938057

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Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations.This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will findthat all chapters fit nicely within a unified notation.…

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Title
Gröbner Bases, Coding, and Cryptography
Author
Massimiliano Sala
Publisher
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
Publication year
2009
Condition
New
Binding
Hardback
Language
English
ISBN 10
3540938052
ISBN 13
9783540938057
Edition
2009 ed.

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