Arithmetic, Geometry, and Coding Theory: Proceedings of the International Conference held at Centre International de Rencontres de Mathématiques (CIRM), Luminy, France, June 28 - July 2, 1993

Book

Arithmetic, Geometry, and Coding Theory

Proceedings of the International Conference held at Centre International de Rencontres de Mathématiques (CIRM), Luminy, France, June 28 - July 2, 1993

Edited by: R. Pellikaan , M. Perret and S.G. Vladut

Language: English

Published/Copyright: 1996

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This book is in the series

De Gruyter Proceedings in Mathematics

Topics

I-IV Requires Authentication Unlicensed Licensed	I
Foreword Requires Authentication Unlicensed Licensed	V
List of Lectures Requires Authentication Unlicensed Licensed	VII
Table of Contents Requires Authentication Unlicensed Licensed	XI
A Weil theorem for singular curves Yves Aubry and Marc Perret Requires Authentication Unlicensed Licensed	1
An algorithm for characterizing linear bidimensional product codes Angela I. Barbero Requires Authentication Unlicensed Licensed	9
MDS codes from hyperelliptic curves Mario A. de Boer Requires Authentication Unlicensed Licensed	23
On hypersurfaces defined by a separated variables polynomial over a finite field Jean Pierre Cherdieu and Robert Rolland Requires Authentication Unlicensed Licensed	35
Class numbers for some hyperelliptic curves Iwan Duursma Requires Authentication Unlicensed Licensed	45
Generalized Hamming weights for duals of BCH codes, and maximal algebraic function fields Iwan Duursma, Henning Stichtenoth and Conny Voss Requires Authentication Unlicensed Licensed	53
On the Clifford defect for special curves Christoph Kirfel Requires Authentication Unlicensed Licensed	67
Number of points of plane sections and linear codes defined on algebraic varieties Gilles Lachaud Requires Authentication Unlicensed Licensed	77
Quadratic algebraic function fields with ideal class number two Dominique Le Brigand Requires Authentication Unlicensed Licensed	105
A survey of Ramanujan graphs Wen-Ch'ing Winnie Li Requires Authentication Unlicensed Licensed	127
Codes associated to Grassmannians D. Yu. Nogin Requires Authentication Unlicensed Licensed	145
The shift bound for cyclic, Reed-Muller and geometric Goppa codes Ruud Pellikaan Requires Authentication Unlicensed Licensed	155
On special divisors and the two variable zeta function of algebraic curves over finite fields Ruud Pellikaan Requires Authentication Unlicensed Licensed	175
Minoration de certaines sommes exponentielles (II) François Rodier Requires Authentication Unlicensed Licensed	185
Dénombrement des configurations dans le plan projectif Robert Rolland and Alexei Ν. Skorobogatov Requires Authentication Unlicensed Licensed	199
Nombre de points des surfaces sur un corps fini Michael A. Tsfasman Requires Authentication Unlicensed Licensed	209
Algebraic curves and sphere packings Michael A. Tsfasman Requires Authentication Unlicensed Licensed	225
Two remarks on the spectra of algebraic geometry codes S. G. Vlăduţ Requires Authentication Unlicensed Licensed	253
An upper bound for generalized Hamming weights S. G. Vlăduţ Requires Authentication Unlicensed Licensed	263
Generalized Hamming weights; Fundamental open problems in coding theory Victor K. Wei Requires Authentication Unlicensed Licensed	269
List of Contributors Requires Authentication Unlicensed Licensed	283
List of Partcipants Requires Authentication Unlicensed Licensed	287

Publishing information

Pages and Images/Illustrations in book

eBook published on:

July 20, 2011

eBook ISBN:

9783110811056

Hardcover published on:

March 4, 1996

Hardcover ISBN:

9783110146165

Edition:

Reprint 2011

Pages and Images/Illustrations in book

Front matter:

12

Main content:

288

Illustrations:

7

Other:

Zahlr. Abb.

https://doi.org/10.1515/9783110811056

eBook ISBN: 9783110811056

Hardcover ISBN: 9783110146165

Keywords for this book

Algebraische Geometrie; Zahlentheorie; Codierungstheorie; Kongress; Marseille

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Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Arithmetic, Geometry, and Coding Theory

Overview

Topics

Table of contents

Bibliographic data