Grobner Bases Coding And Cryptography
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Author |
: Massimiliano Sala |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 428 |
Release |
: 2009-05-28 |
ISBN-10 |
: 9783540938064 |
ISBN-13 |
: 3540938060 |
Rating |
: 4/5 (64 Downloads) |
Synopsis Gröbner Bases, Coding, and Cryptography by : Massimiliano Sala
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.
Author |
: Tanush Shaska |
Publisher |
: World Scientific |
Total Pages |
: 267 |
Release |
: 2007-07-05 |
ISBN-10 |
: 9789814475358 |
ISBN-13 |
: 9814475351 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Advances In Coding Theory And Cryptography by : Tanush Shaska
In the new era of technology and advanced communications, coding theory and cryptography play a particularly significant role with a huge amount of research being done in both areas. This book presents some of that research, authored by prominent experts in the field.The book contains articles from a variety of topics most of which are from coding theory. Such topics include codes over order domains, Groebner representation of linear codes, Griesmer codes, optical orthogonal codes, lattices and theta functions related to codes, Goppa codes and Tschirnhausen modules, s-extremal codes, automorphisms of codes, etc. There are also papers in cryptography which include articles on extremal graph theory and its applications in cryptography, fast arithmetic on hyperelliptic curves via continued fraction expansions, etc. Researchers working in coding theory and cryptography will find this book an excellent source of information on recent research.
Author |
: Daniel Augot |
Publisher |
: |
Total Pages |
: 119 |
Release |
: 2009 |
ISBN-10 |
: OCLC:552499306 |
ISBN-13 |
: |
Rating |
: 4/5 (06 Downloads) |
Synopsis Gröbner Bases in Cryptography, Coding Theory, and Algebraic Combinatorics by : Daniel Augot
Author |
: Isaac Woungang |
Publisher |
: World Scientific |
Total Pages |
: 725 |
Release |
: 2010-02-26 |
ISBN-10 |
: 9789814469197 |
ISBN-13 |
: 981446919X |
Rating |
: 4/5 (97 Downloads) |
Synopsis Selected Topics In Information And Coding Theory by : Isaac Woungang
The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.
Author |
: Bruno Buchberger |
Publisher |
: Cambridge University Press |
Total Pages |
: 566 |
Release |
: 1998-02-26 |
ISBN-10 |
: 0521632986 |
ISBN-13 |
: 9780521632980 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Gröbner Bases and Applications by : Bruno Buchberger
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Author |
: |
Publisher |
: |
Total Pages |
: 492 |
Release |
: 2005 |
ISBN-10 |
: UOM:39015058757801 |
ISBN-13 |
: |
Rating |
: 4/5 (01 Downloads) |
Synopsis Cryptography and Coding by :
Author |
: Liqun Chen |
Publisher |
: Springer |
Total Pages |
: 508 |
Release |
: 2011-12-08 |
ISBN-10 |
: 9783642255168 |
ISBN-13 |
: 3642255167 |
Rating |
: 4/5 (68 Downloads) |
Synopsis Cryptography and Coding by : Liqun Chen
This book constitutes the refereed proceedings of the 13th IMA International Conference on Cryptography and Coding, IMACC 2011, held in Oxford, UK in December 2011. The 27 revised full papers presented together with one invited contribution were carefully reviewed and selected from 57 submissions. The papers cover a wide range of topics in the field of mathematics and computer science, including coding theory, homomorphic encryption, symmetric and public key cryptosystems, cryptographic functions and protocols, efficient pairing and scalar multiplication implementation, knowledge proof, and security analysis.
Author |
: Michael Brickenstein |
Publisher |
: Logos Verlag Berlin GmbH |
Total Pages |
: 158 |
Release |
: 2010 |
ISBN-10 |
: 9783832525972 |
ISBN-13 |
: 3832525971 |
Rating |
: 4/5 (72 Downloads) |
Synopsis Boolean Gröbner Bases by : Michael Brickenstein
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.
Author |
: Øyvind Ytrehus |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 452 |
Release |
: 2006-07-06 |
ISBN-10 |
: 9783540354819 |
ISBN-13 |
: 3540354816 |
Rating |
: 4/5 (19 Downloads) |
Synopsis Coding and Cryptography by : Øyvind Ytrehus
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.
Author |
: Ruud Pellikaan |
Publisher |
: Cambridge University Press |
Total Pages |
: 611 |
Release |
: 2017-11-02 |
ISBN-10 |
: 9780521817110 |
ISBN-13 |
: 0521817110 |
Rating |
: 4/5 (10 Downloads) |
Synopsis Codes, Cryptology and Curves with Computer Algebra by : Ruud Pellikaan
Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.