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4 edition of Coding Theory and Algebraic Geometry found in the catalog.

Coding Theory and Algebraic Geometry

H. Stichtenoth

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

  • 43 Want to read
  • 40 Currently reading

Published by Springer-Verlag .
Written in English


Edition Notes

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

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Coding Theory and Algebraic Geometry by H. Stichtenoth Download PDF EPUB FB2

Algebraic geometry is a beautiful subject and have found nice applications in many areas of mathematics/CS. Coding theory and Cryptography are two such areas. There are many great books available on each of these areas. They focus either on Coding theory, or on Cryptography.

This book however, builds on keeping algebraic geometry in the first by: Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM).

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 aroundmany 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 aroundmany 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.

However, both for algebraic geometry and for coding theory excellent textbooks are available. The combination ofthe two subjects can only be found in a number ofsurvey papers.

A book by C. Moreno with a complete treatment of this area is in preparation. Coding Theory and Algebraic Geometry. Usually dispatched within 3 to 5 business days. Usually dispatched within 3 to 5 business days. "This book gives a nice overview of background and recent results on curves over finite fields.

The main advantage of this book is that it provides a huge bibliography and takes into account even very recent results which are so far only presented at. Categories. EN FR. In this chapter we describe 's construction of error-correcting codes using algebraic function fields.

We start with a brief survey of the concepts of coding theory. Then we define algebraic geometry codes (AG codes) and develop their main properties. 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.

Coding theory came into existence in the late 's and is concerned with devising efficient encoding and decoding procedures. The book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text.

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 vision.

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 : $ Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes.

Overview 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 : $   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 book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics.

On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite. Elements of Algebraic Coding Theory (Pure Mathematics Series) by L.R.

Vermani, July 1,Chapman & Hall/CRC edition, in English. Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM).

The conference gathered research communities across disciplines to share ideas and problems in their. is both an introduction to coding theory and algebraic geometry.

[37] The Bible of algebraic coding theory with over references. [38] is an excellent graduate textbook on information theory and coding theory. [39] is well suited for a course in algebraic geometry ending with a discussion of algebraic geometry codes. [40]. Introduction to Coding Theory Book Summary: This book has long been considered one of the classic references to an important area in the fields of information theory and coding theory.

This third edition has been revised and expanded, including new chapters on algebraic geometry, new classes of codes, and the essentials of the most recent developments in binary codes. Description: This is the revised edition of Berlekamp's famous book, "Algebraic Coding Theory", originally published inwherein he introduced several algorithms which have subsequently dominated engineering practice in this field.

This book is based on lecture notes from coding theory courses taught by Venkatesan Gu- ruswami at University at Washington and CMU; by Atri Rudra at University at Buffalo, SUNY andby MadhuSudanatHarvard andMIT.

About For Books Algebraic Coding Theory (Revised Edition) Best Sellers Rank: #2. Get this from a library. Introduction to coding theory and algebraic geometry. [Jacobus Hendricus van Lint; Gerard van der Geer].

This book would make a fine addition to any library or to the shelves of an algebraic geometer wanting to learn some coding theory or vice versa.

Darren Glass is an associate professor of mathematics at Gettysburg College. A2A, thanks. I don’t know, so my approach is such a situation is to start with the shortest, most transparent sources. I’d start with the first 12 pages of: http. 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.

Stichtenoth and M. Tsfasman, Eds., Coding Theory and Algebraic Geometry (Proc. 3rd Cons on Aristhmetic, Geometry and Coding Theory (AGCT-3)) (Marseilles-Luminy, France, June.

Algebraic Geometry in Coding Theory and Cryptography - Ebook written by Harald Niederreiter, Chaoping Xing. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Algebraic Geometry in Coding Theory and Cryptography.

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Book. Algebraic Geometry in Coding Theory and Cryptography Details Author(s): Harald Niederreiter and Chaoping Xing Publisher: Princeton University Press eISBN: The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management.Get this from a library!

Many rational points: coding theory and algebraic geometry. [Norman Hurt] -- "This monograph presents a comprehensive treatment of recent results on algebraic geometry as they apply to coding theory and cryptography, with the goal being the study of algebraic curves and.