Improvements on Parameters of Algebraic-Geometry Codes From Hermitian Curves

被引：1

作者：

Yang, Siman ^{[1
,2
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2009年 / 55卷 / 01期

关键词：

Algebraic curves; algebraic-geometry codes; asymptotic bounds; Hermitian codes; Hermitian curves; TSFASMAN-VLADUT-ZINK; DISTINGUISHED DIVISORS; ASYMPTOTIC BOUNDS; NONLINEAR CODES; FUNCTION-FIELDS; VARSHAMOV;

D O I：

10.1109/TIT.2008.2008123

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Using the Vladut-Xing method, we refine a construction of Xu to improve the parameters of algebraic-geometry codes based on Hermitian curves. The parameters of these Hermitian codes are arbitrarily close to the Singleton bound, provided that the length of the code is sufficiently large. We also exhibit a class of Hermitian codes over any finite field F(q)(2) (q > 2) with good parameters.

引用

页码：105 / 108

页数：4

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