Minimum distance of relative Reed-Muller codes

被引：0

作者：

Nakashima, Tohru ^{[1
]}

机构：

[1] Japan Womens Univ, Fac Sci, Dept Math & Phys Sci, Bunkyo Ku, Tokyo 1128681, Japan

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2009年 / 20卷 / 02期

关键词：

Error-correcting codes; Relative Reed-Muller codes; Semistable vector bundles; ERROR-CORRECTING CODES;

D O I：

10.1007/s00200-009-0093-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We describe a construction of error-correcting codes on a fibration over a curve defined over a finite field, which may be considered as a relative version of the classical Reed-Muller code. In the case of complete intersections in a projective bundle, we give an explicit lower bound for the minimum distance.

引用

页码：123 / 132

页数：10

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