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Z_m上的负循环码和自对偶码 被引量：1

Negacyclic codes and self-dual codes over Z_m
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摘要 利用环直和分解的性质研究了Zm(m≥6)上的负循环码与其直和项上负循环码之间的关系,通过定义Zm与环的直和项有相同特征的剩余类环之间的同构映射ψ,得到了在同构映射ψ作用下环Zm上负循环码与其外直和项上负循环码关系,给出了Zm上自对偶码存在的充分必要条件. In this paper, the relation between negacyclic over and negacyclic codes over their directsummand is studied by making use of the ring direct summand decomposition. The relation between codes over and the rings which have the same characteristics of Zm＇s direct summand is also investigated by defining the isomorphism mapping of Zm to the rings which have the same characteristics of Zm＇s direct summand. Necessary and sufficient conditions for the existence of self-dual codes over Zm are obtained.
作者 蒋春涛 辛小龙 赵陆一
机构地区 西北大学数学系 陕西省生产力促进中心
出处 《纺织高校基础科学学报》 CAS 2008年第4期401-405,共5页 Basic Sciences Journal of Textile Universities
基金 陕西省自然科学基金资助项目(2007A19)
关键词 循环码 直和项 同构映射 自对偶码 negacyclic codes direct summand isomorphism mapping self-dual codes
分类号 O157.4 [理学—基础数学] O236 [理学—运筹学与控制论]
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参考文献9

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同被引文献9

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纺织高校基础科学学报
2008年 第4期

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