The definition of the exact complete p weight enumerator of a linear code over Mn×s (Zk) and a MacWilliams identity for the weight enumerator are given. The relation among the exact complete p weight enumerator of a linear code over Mn×s (Zk), the exact weight enumerator and the complete weight enumerator of a linear code over Zk is researched, which indicates that the exact complete p 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.%给出环Mnxs((Z)k)上线性码的精确完全ρ重量计数器的定义及相应的MacWilliams恒等式,并对环Mnxs((Z)k)上线性码的精确完全ρ重量计数器、(Z)k上线性码的精确重量计数器以及(Z)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)nxs((Z)k)上线性码的精确完全ρ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.
展开▼
