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Gröbner Bases, Coding, and Cryptography

Gröbner Bases, Coding, and Cryptography
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Field name Details
Dewey Class 512
Title Gröbner Bases, Coding, and Cryptography (EB) / edited by Massimiliano Sala, Shojiro Sakata, Teo Mora, Carlo Traverso, Ludovic Perret.
Author Sala, Massimiliano
Added Personal Name Sakata, Shojiro
Mora, Teo
Traverso, Carlo
Perret, Ludovic
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 2009.
Physical Details XVI, 430 p. : online resource.
ISBN 9783540938064
Summary Note 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 find that all chapters fit nicely within a unified notation.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-540-93806-4
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