摘要： 给出环 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 上线性码的精确完全 重量计数器、 上线性码的精确重量计数器以及 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 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。
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
Abstract: 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.
Key words:
weight distribution,
MacWilliams identity,
ρ metric,
exact complete ρ weight enumerator,
linear code,
dual code
中图分类号:
许和乾, 杜炜. 关于ρ度量的一个MacWilliams恒等式[J]. 计算机工程, 2012, 38(19): 122-125,141.
HU He-Gan, DU Wei. A MacWilliams Identity Respecting to ρ Metric[J]. Computer Engineering, 2012, 38(19): 122-125,141.