Applications of algebraic geometry to coding theory, physics, and computation
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Applications of algebraic geometry to coding theory, physics, and computation

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Published by Kluwer Academic Publishers in Dordrecht, Boston .
Written in English


  • Geometry, Algebraic -- Congresses.

Book details:

Edition Notes

Statementedited by Ciro Ciliberto ... [et al].
SeriesNATO science series -- v. 36
ContributionsCiliberto, C. 1950-, NATO Advanced Research Workshop on Applications of Algebraic Geometry to Coding Theory, Physics, and Computation (2001 : Elat, Israel)
LC ClassificationsQA564 .A587 2001
The Physical Object
Paginationxv, 337 p. :
Number of Pages337
ID Numbers
Open LibraryOL21801195M
ISBN 101402000049
LC Control Number2001038615

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Computational algebraic geometry today 65 M. Fryers, J.Y. Kaminski and M. Teicher: Some applications of algebraic curves to computational vision G. van der Geer: Coding theory and algebraic curves over finite fields G.-M. Greuel, C. Lossen and M. Schulze: Three algorithms in algebraic geometry, coding theory and singularity theOlYFile Size: KB. This book introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Gröbner bases and fueled by the advent of modern computers and the rediscovery of resultants, computational algebraic geometry has grown rapidly in : $ Applications of Algebraic Geometry to Coding Theory Physics and Computation - Proceedings of the NATO Advanced Research Workshop held in Eilat Israel from 25th February to 1st March (EAN) bei between arithmetic geometry and its applications, originally highlighting coding theory but more recently including cryptography and other areas as well. This volume contains the proceedings of the 16th international conference, held from.

Request PDF | On Jan 1, , C. Ciliberto and others published The Segre and Harbourne-Hirschowitz Conjectures, in: Applications of algebraic geometry to coding theory, physics and computation. Although the general theory of linear codes is well established, a number of computational problems central to coding theory, such as decoding and the determination of minimum distances, are known to be NP-Complete, see([12],98). There is no known "efficient" algorithm for solving any of the NP- Complete problems. Applications of Linear Algebra to Coding Theory Presented by: t kaur Dept of Mathematics SIES (W) • International Standard Book Number (ISBN) Coding Theory Vs Cryptography • Coding theory deals Applications of Linear Algebra to Coding Theory. Read the latest articles of Journal of Symbolic Computation at , Elsevier’s leading platform of peer-reviewed scholarly literature Special issue algebraic coding theory and applications. Antonio Campillo, Patrick Fitzpatrick, Edgar Martínez-Moro, Ruud Pellikaan. select article Algebraic geometry codes from polyhedral.

An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer : $   Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Chapter book in 'Applications of Algebraic Geometry to Coding Theory, Physics and Computation' Subjects: Algebraic Geometry (); Information Theory () Cite as: arXiv:math/ [] (or arXiv:math/v1 [] for this version)Cited by: 1. Perhaps the most heroic and creative application of algebraic geometry to physics that is considered "relevant" (i.e., tied to experiment) is Nima Arkani-Hamed and friends' use of the positive grassmannian in calculating scattering amplitudes.