CYCLIC CODES OVER THE RING Zp^2 OF LENGTH p^e

The study of cyclic codes over rings has generated a lot of public interest. In this paper, we study cyclic codes and their dual codes over the ring Zp^2 of length p^e, and find a set of generators for these codes. The ranks and minimal generator sets of these codes are studied as well, which play a...

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Bibliographic Details
Published in:Journal of electronics (China) 2008, Vol.25 (5), p.636-640
Main Author: Shi Minjia Zhu Shixin
Format: Article
Language:English
Subjects:
循环码
最小生成集
通信技术
Online Access:Get full text
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Summary:The study of cyclic codes over rings has generated a lot of public interest. In this paper, we study cyclic codes and their dual codes over the ring Zp^2 of length p^e, and find a set of generators for these codes. The ranks and minimal generator sets of these codes are studied as well, which play an important role in decoding and determining the distance distribution of codes.
ISSN:0217-9822
1993-0615