New classes of cyclic extended Goppa codes

被引：9

作者：

Berger, TP ^{[1
]}

机构：

[1] Fac Sci Limoges, Dept Math, F-87060 Limoges, France

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1999年 / 45卷 / 04期

关键词：

cyclic codes; Goppa codes; semilinear automorphism groups;

D O I：

10.1109/18.761281

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this correspondence, we give a condition for a "classical" Goppa code to have a cyclic extension. This condition follows from properties of the semilinear automorphism group of the corresponding Generalized Reed-Solomon codes. Using this condition, we can construct not only all the known Goppa codes with a cyclic extension, but also new families.

引用

页码：1264 / 1266

页数：3

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