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SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS 被引量：1

SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS
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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. 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.
作者 张光辉 刘宏伟
机构地区 School of Mathematical Sciences School of Mathematics and Statistics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2013年第6期1695-1710,共16页 数学物理学报（B辑英文版）
基金 supported by NSFC(11171370)
关键词 self-dual code group code permutation code formal power series ring finiteprincipal ideal ring self-dual code group code permutation code formal power series ring finiteprincipal ideal ring
分类号 O153.3 [理学—基础数学]
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参考文献13

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Acta Mathematica Scientia
2013年 第6期

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