极大等重等距码的结构分析

On the Structure of Unextendable Code with Constant Weight and Distance

本文是文献[1]的继续,首次解决了(非线性)极大等重等距码(n,2,m)和(n,4,m)的等价分类问题,从而清晰地揭示了其结构特征。文中还提出了一些有待进一步研究的问题。

As a part of the author's series study on the constant weight codes,we have initially found the structure properties and the equivalent classes for the unextendable binary codes of constant weight and distance with parameters (n,2,m) and (n,4,m) in this paper.A few open problems about the structure of (n,2k,m) codes with constant weight and distance for k≥3 are also proposed