摘要
本文将线性码的广义Hamming重量的概念推广到非线性码上去,并导出了一种广义Elias界.对于线性等重码,本文给出了其完整的重量谱系.
This paper generalizes the definition of generalized Hamming weights for linear codes to nonlinear codes, derives a generalized Elias bound, and gives the weight hierarchy of linear constant weight codes.
关键词
线性码
等重码
密码
编码
Generalized Hamming weights, Linear codes, Constant weight codes, Elias bound, Circulant Hadamard matrix