论文标题

对近三元三元自偶偶联代码的重量枚举者和第四纪遗产自我双重代码的一些限制

Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes

论文作者

Araya, Makoto, Harada, Masaaki

论文摘要

我们对三元核对长度的三元枚举的重量枚举限制,可将长度的长度划分为$ 12 $,而第四纪近超级遗物遗物自我双重代码长度可分配$ 6 $。我们考虑了重量枚举者,其中有一个近三元的自我双重代码,长度为1200万美元,$ M = 3,4,5,6 $。另外,我们考虑了重量枚举者的重量枚举者,其中$ M = 4,5,6 $的第四纪近高级遗物自我双重代码为600万美元。

We give restrictions on the weight enumerators of ternary near-extremal self-dual codes of length divisible by $12$ and quaternary near-extremal Hermitian self-dual codes of length divisible by $6$. We consider the weight enumerators for which there is a ternary near-extremal self-dual code of length $12m$ for $m =3,4,5,6$. Also we consider the weight enumerators for which there is a quaternary near-extremal Hermitian self-dual code of length $6m$ for $m =4,5,6$.

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