Binary quasi-cyclic Goppa codes

被引：8

作者：

Bommier, G ^{[1
]}

Blanchet, F ^{[1
]}

机构：

[1] Inst Natl Rech Informat & Automat, Codes, F-78153 Le Chesnay, France

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2000年 / 20卷 / 02期

关键词：

Goppa code; quasi-cyclic code; linear code;

D O I：

10.1023/A:1008327723647

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We obtain here a necessary and sufficient condition for a certain class of binary Goppa code to be quasi-cyclic. We also give another sufficient condition which is easier to check. We define a class of quasi-cyclic Goppa codes. We find the true dimension for a part of those quasi-cyclic codes. and also a class of extended quasi-cyclic codes the minimum distance of which is equal to the designed distance.

引用

页码：107 / 124

页数：18

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