| 形式幂级数环上的自对偶码 |
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| 引用本文： | 杨萌,刘花璐,张晓燕,刘修生.形式幂级数环上的自对偶码[J].数学的实践与认识,2011,41(1). |
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| 作者姓名： | 杨萌 刘花璐 张晓燕 刘修生 |
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| 作者单位： | 黄石理工学院数理学院,湖北黄石,435003 |
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| 摘 要： | 形式幂级数环R_∞=Fγ]]={sum from l=0 to a_lγ~l|a_l∈F}与有限链环R_i={a_0+a_1γ+…+a_(i-1)γ~(i-1)|a_i∈F}的码的投影与提升有密切关系.利用形式幂级数环R_∞上码C在有限链环R_i的投影码的自正交性与自对偶性来研究码C的自正交性与自对偶性,得到了两个有意义的结果.
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| 关 键 词： | 有限链环 形式幂级数环 自正交码 自对偶码 |
The Self-dual Codes over Formal Power Series Rings |
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| YANG Meng,LIU Hua-lu,ZHANG Xiao-yan,LIU Xiu-sheng.The Self-dual Codes over Formal Power Series Rings[J].Mathematics in Practice and Theory,2011,41(1). |
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| Authors: | YANG Meng LIU Hua-lu ZHANG Xiao-yan LIU Xiu-sheng |
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| Abstract: | The codes of formal power series rings R_∞=Fγ]]={sum from l=0 to a_lγ~l|a_l∈F} and finite chain ringsR_i = {a_0 + a_1γ+…+a_(i-1)γ~(i-1)|a_i∈F } have close relationship in lifted and projection.In this paper,we study self-orthogonal codes and self-dual codes over formal power series rings R_∞by means of self-orthogonal codes and self-dual codes over finite chain rings R_i,and obtain two results. |
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| Keywords: | finite chain rings formal power series rings self-orthogonal codes self-dual codes |
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