Gr Bner Bases Coding And Cryptography
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Gr bner Bases Coding and Cryptography
Author | : Massimiliano Sala,Teo Mora,Ludovic Perret,Shojiro Sakata,Carlo Traverso |
Publsiher | : Springer Science & Business Media |
Total Pages | : 428 |
Release | : 2009-05-28 |
Genre | : Mathematics |
ISBN | : 9783540938064 |
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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 find that all chapters fit nicely within a unified notation.
Advances in Coding Theory and Cryptography
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9789814475358 |
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Gr bner Bases and Applications
Author | : Bruno Buchberger,Franz Winkler |
Publsiher | : Cambridge University Press |
Total Pages | : 566 |
Release | : 1998-02-26 |
Genre | : Mathematics |
ISBN | : 0521632986 |
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Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Selected Topics in Information and Coding Theory
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9789814469197 |
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Cryptography and Coding
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 492 |
Release | : 2005 |
Genre | : Coding theory |
ISBN | : UOM:39015058757801 |
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Boolean Gr bner Bases
Author | : Michael Brickenstein |
Publsiher | : Logos Verlag Berlin GmbH |
Total Pages | : 158 |
Release | : 2010 |
Genre | : Computers |
ISBN | : 9783832525972 |
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There exist very few concepts in computational algebra which are as central to theory and applications as Grobner bases. This thesis describes theory, algorithms and applications for the special case of Boolean polynomials. These parts form the mathematical foundations of the PolyBoRi framework (developed by the author together with Alexander Dreyer). The PolyBoRi framework has applications spread over a large number of domains ranging from formal verification, computational biology to cryptanalysis and many more. It is emerged to a worldwide audience by the Sage computational algebra system.
Coding and Cryptography
Author | : Øyvind Ytrehus |
Publsiher | : Springer Science & Business Media |
Total Pages | : 452 |
Release | : 2006-07-06 |
Genre | : Computers |
ISBN | : 9783540354819 |
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This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Coding and Cryptography, WCC 2005, held in Bergen, Norway, in March 2005. The 33 revised full papers were carefully reviewed and selected during two rounds of review. The papers address all aspects of coding theory, cryptography and related areas, theoretical or applied.
Codes Cryptology and Curves with Computer Algebra
Author | : Ruud Pellikaan,Xin-Wen Wu,Stanislav Bulygin,Relinde Jurrius |
Publsiher | : Cambridge University Press |
Total Pages | : 611 |
Release | : 2017-11-02 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780521817110 |
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Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.