SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS

doi:10.1016/S0252-9602(13)60116-2

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (6): 1695-1710.doi: 10.1016/S0252-9602(13)60116-2

SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS

张光辉^*|刘宏伟

School of Mathematical Sciences, Luoyang Normal University, Luoyang 471022, China； School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China

收稿日期:2012-04-15 修回日期:2012-10-09 出版日期:2013-11-20 发布日期:2013-11-20
通讯作者: 张光辉，zgh09@yahoo.com.cn E-mail:zgh09@yahoo.com.cn；h_w_liu@yahoo.com.cn
基金资助:
This work was supported by NSFC (11171370).

SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS

ZHANG Guang-Hui^*, LIU Hong-Wei

School of Mathematical Sciences, Luoyang Normal University, Luoyang 471022, China； School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China

Received:2012-04-15 Revised:2012-10-09 Online:2013-11-20 Published:2013-11-20
Contact: ZHANG Guang-Hui，zgh09@yahoo.com.cn E-mail:zgh09@yahoo.com.cn；h_w_liu@yahoo.com.cn
Supported by:
This work was supported by NSFC (11171370).

摘要/Abstract

摘要：

In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings.

关键词: self-dual code, group code, permutation code, formal power series ring, finite principal ideal ring

Abstract:

Key words: self-dual code, group code, permutation code, formal power series ring, finite principal ideal ring

中图分类号:

94B05

张光辉, 刘宏伟. SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS[J]. 数学物理学报(英文版), 2013, 33(6): 1695-1710.

ZHANG Guang-Hui, LIU Hong-Wei. SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS[J]. Acta mathematica scientia,Series B, 2013, 33(6): 1695-1710.

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[2]	樊恽; 袁媛. ON SELF-DUAL PERMUTATION CODES[J]. 数学物理学报(英文版), 2008, 28(3): 633-638.

SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS

SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS

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