GOOD p-ARY QUASIC-CYCLIC CODES FROM CYCLIC CODES OVER Fp + νFp

被引：0

作者：

Shi, Minjia ^{[1
]}

Yang, Shanlin ^{[2
]}

Zhu, Shixin ^{[3
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[2] Hefei Univ Technol, Inst Comp Network Syst, Hefei 230009, Peoples R China

[3] Hefei Univ Technol, Sch Math Sci, Hefei 230009, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2012年 / 25卷 / 02期

关键词：

Cyclic code; generator matrix; Gray image; linear code;

D O I：

10.1007/s11424-012-0076-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces a Gray map from (F-p + nu F-p)(n) to F-p(2n), and describes the relationship between codes over F-p + nu F-p and their Gray images. The authors prove that every cyclic code of arbitrary length n over F-p + nu F-p is principal, and determine its generator polynomial as well as the number of cyclic codes. Moreover, the authors obtain many best-known p-ary quasic-cyclic codes in terms of their parameters via the Gray map.

引用

页码：375 / 384

页数：10

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