Goppa geometric codes achieving the Gilbert-Varshamov bound

被引：7

作者：

Xing, CP ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2005年 / 51卷 / 01期

关键词：

bounds; curves; divisors; geometry codes; points;

D O I：

10.1109/TIT.2004.838351

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Based on s-zeta-functions of curves over finite fields, we show that Goppa geometry codes achieve the q-ary Gilbert-Varshamov bound for all prime powers q (including q = 2).

引用

页码：259 / 264

页数：6

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IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (01) :347-352

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