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

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...

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Veröffentlicht in:Acta mathematica scientia 2013-11, Vol.33 (6), p.1695-1710
1. Verfasser: 张光辉 刘宏伟
Format: Artikel
Sprache:eng
Schlagworte:
13A99
94B05
Chains
finite principal ideal ring
formal power series ring
group code
Mathematical analysis
OVER
permutation code
Permutations
Power series
self-dual code
Torsion
主理想环
偶置换
幂级数环
形式幂级数
排列码
环和
自对偶
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Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60116-2