摘要
利用二进制系数表示构造一个ｍ×２ｍ的（０，１）矩阵，由该矩阵的行向量出发构造一个二进制线性码Ｃ，并计算码Ｃ的参数，即码Ｃ的长度，码Ｃ的维数，码Ｃ的最小距离．进而证明其为Ｒｅｅｄ－Ｍｕｌｅｒ码．
By use of the binary coefficient representation, a (0,1)-matrix of m×2 m is constructed. On the basis of the row vectors of this matrix, a binary linear code named C is further constructed. And code C′ s parameter is computed, i.e,code C′ s length, dimension, and minimum distance, and then it is proved that code C is Reed Muller code.
出处
《陕西师大学报（自然科学版）》
CSCD
北大核心
1998年第3期5-6,10,共3页
Journal of Shaanxi Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
汉明距离
最小距离
汉明重量
R-M码
Hamming distance
minimum distance
Hamming weight
Reed Muller code
