(n,2,ω)极大等重等矩码的广义Hamming重量和Gresmer界

Generalized Hamming Weight of Maximum Code with Constant Weight and Distance for (n,2,w) and Gresmer Bound

根据 (n ,2 ,ω)极大等重等矩码的码矩阵 ,给出了 (n ,2 ,ω)极大等重等矩码的第r广义Ham ming重量和第r广义Hmming重量的分布函数多项式。并根据广义Hamming重量 ,[(2 k- 1)m ,k ,2 k-1]等重码能达到Gresmer界。

In this paper, the rth generalized Hamming weight and its function polynomial of maximum code are presented based on the code matrix of maximum code with constant weight and distance for (n,2,w), and [(2k-1)m,k,2k-1] constant weight code can reach Gresmer bound according to the generalized Hamming weights.