关于本原BCH码广义汉明重量的一个一般结果(英文)

A General Result on the Generalized Hamming Weights for Primitive BCH Codes

由V.K.Wei(1991)提出的广义汉明重量概念已显示是线性分组码的一种基本描述参数.已发现它们在密码学应用的研究中和线性分组码最小网格图的研究中很有用途.这篇论文考虑一般域上的一般本原BCH码的广义汉明重量,确定其后面的一些广义汉明重量取值.这个结果改进以往有关的结果.

The generalized Hamming weights introduced by Wei have been shown to be fundamental descriptive parameters of a linear block code. They have been found to be useful in certain cryptographic applications and in the studies of minimal trellis diagrams of linear block codes. In this paper, we consider the generalized Hamming weights for a general primitive BCH code over a general finite field, and determine its last few generalized Hamming weights. The result generalizes previously known results.