摘要
根据二元叠加码(Binary Superimposed Code)M_q(n,k,d)的定义及有限域F_q上n维向量空间的k维子空间的维数性质定义了一个高斯组合函数,利用这个组合函数研究了M_q(n,k,d)码的平均汉明(Hamming)距离和它的均方差问题,给出了计算公式.
A Gauss combination function is defined according to the definition of binary superimposed code Mq（n, k, d） and the dimensional properties of k-dimensional subspaces in n dimensional vector space over finite fields Fq. The main purpose of this article is to study the average Hamming distance and mean square deviation of binary superimposed code Mq（n, k, d） by definition of this Gauss combination function. Their computational formulas axe obtained.
出处
《数学的实践与认识》
北大核心
2017年第6期292-296,共5页
Mathematics in Practice and Theory
基金
河北省张家口市科技支撑研究项目(1112025B)
关键词
Mq(n
k
d)码
平均汉明距离
均方差
binary superimposed code Mq （n, k, d）
average Hamming distance
mean square deviation
