The Asymptotic Theory of Algebraic-Geometry Codes

被引：0

作者：

Niederreiter, Harald ^{[1
]}

机构：

[1] Austrian Acad Sci, RICAM, A-4040 Linz, Austria

来源：

FINITE FIELDS: THEORY AND APPLICATIONS | 2010年 / 518卷

关键词：

Error-correcting codes; Gilbert-Varshamov bound; TVZ bound; global function fields; algebraic-geometry codes; FUNCTION-FIELDS; NONLINEAR CODES; CURVES; IMPROVEMENTS; POINTS; BOUNDS; TOWER;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that the asymptotic Gilbert-Varshamov bound in coding theory was improved in 1982 by the TVZ bound with the help of algebraic-geometry codes. In recent years, the TVZ bound was improved by using constructions of new types of algebraic-geometry codes. The paper surveys these recent developments and also provides a general introduction to the asymptotic theory of codes.

引用

页码：339 / 348

页数：10

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