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
收藏
页码：339 / 348
页数：10
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