关于ρ度量的一个MacWilliams恒等式

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英文篇名：A MacWilliams Identity Respecting to ρ Metric 作者：许和乾 ; 杜炜 英文作者：XU He-qian1,DU Wei2(1.Department of Mathematics,Hefei Normal University,Hefei 230601,China;2.Department of Mathematics and Computational Science,Huainan Normal University,Huainan 232001,China) 关键词：重量分布 ; MacWilliams恒等式 ; ρ度量 ; 精确完全重量计数器 ; 线性码 ; 对偶码 英文关键词：weight distribution;MacWilliams identity;ρ metric;exact complete ρ weight enumerator;linear code;dual code 中文刊名：JSJC 英文刊名：Computer Engineering 机构：合肥师范学院数学系;淮南师范学院数学与计算科学系; 出版日期：2012-10-05 出版单位：计算机工程 年：2012 期：v.38;No.414 基金：安徽省高等学校省级自然科学研究基金资助项目(KJ2010B171,KJ2012Z382) 语种：中文; 页：JSJC201219032 页数：5 CN：19 ISSN：31-1289/TP 分类号：128-131+147

摘要

给出环n s(k)M上线性码的精确完全重量计数器的定义及相应的MacWilliams恒等式,并对环M n s(k)上线性码的精确完全重量计数器、k上线性码的精确重量计数器以及k上线性码的完全重量计数器之间的联系进行研究,结果表明,环M n s(k)上线性码的精确完全重量计数器相比其他2种重量计数器更具一般性,可更好地用于码的结构研究和译码错误概率计算。
        The definition of the exact complete ρ weight enumerator of a linear code over and a MacWilliams identity for the weight enumerator are given.The relation among the exact complete ρ weight enumerator of a linear code over,the exact weight enumerator and the complete weight enumerator of a linear code over is researched,which indicates that the exact complete ρ weight enumerator is more general than the other,and it may be better to explore the structure of code and to calculate decoding error probability.

引文

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