Coding Theory and Algebraic Geometry
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Coding Theory and Algebraic Geometry Proceedings of the International Workshop Held in Luminy, France, June 17-21, 1991 (Lecture Notes in Mathematics) by H. Stichtenoth

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Published by Springer-Verlag .
Written in English


Book details:

Edition Notes

ContributionsM. A. Tsfasman (Editor)
ID Numbers
Open LibraryOL7447114M
ISBN 100387556516
ISBN 109780387556512

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Introduction to Coding Theory and Algebraic Geometry. Authors: van Lint, J., van der Geer, G. Free PreviewBrand: Birkhäuser Basel. Algebraic geometry and coding theory an introduction. Henning Stichtenoth, Michael A. Tsfasman. Pages Reed-Muller codes associated to projective algebraic varieties. Yves Aubry. Pages Decoding Algebraic-Geometric Codes by solving a key equation. Dirk Ehrhard. Pages About this book. Keywords. Divisor algebra algebraic curve algebraic geometry coding coding theory error-correcting code finite field geometry. Authors and affiliations. Jacobus H. van Lint. 1; Gerard van der Geer. 2; 1. Dept. of Mathematics and Computing Science Eindhoven University of Technology Eindhoven The Netherlands; 2. The book gives a unique perspective on the subject. Whereas most books on coding theory start with elementary concepts and then develop them in the framework of coding theory itself within, this book systematically presents meaningful and important connections of coding theory with algebraic geometry and number theory.

The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around , many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. 4V8BDXLTRABW ^ Kindle «Algorithmic Arithmetic, Geometry, and Coding Theory See Also More Hypnotic Scripts That Work: The Breakthrough Book - Volume 2 Profits Publishing. Paperback. Book Condition: New. Paperback. pages. Dimensions: in. x in. x ISTED FROM THE PTA is an irreverent look at motherhood and the modern family.   The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around , many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments.   The workshop "Algebraic Geometry and Coding Theory - 3" organized by the Institute of Information Transmission (Moscow), University of Essen, Equipe Arithmetique et Theorie de Tlnformation de C.N.R.S. (Marseille-Luminy), and Group d'Etude du Codage de Toulon took place in the Centre International de Rencontres Mathematiques> June ,The workshop was a .

About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related. Algebraic Geometry in Coding Theory and Cryptography. Book Description: This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. This monograph presents a comprehensive treatment of recent results on algebraic geometry as they apply to coding theory and cryptography, with the goal the study of algebraic curves and varieties with many rational by: Algebraic Geometry in Coding Theory and Cryptography. This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography.