矩阵M(l1,l2;n,b)的平均汉明距离和均方差  

On the Average Hamming Distance and Mean Square Deviation for Binary Superimposed Code M(l1,l2;n,b)

作　　者：蒋文丽 JIANG Wen-li(Department of Public Basic Courses Teaching,Zhengzhou Technology and Business University,Zhengzhou 450000,China)

机构地区：[1]郑州工商学院公共基础教学部,河南郑州450000

出　　处：《数学的实践与认识》2020年第23期312-317,共6页Mathematics in Practice and Theory

摘　　要：根据dz-析取矩阵M(l1,l2;n,b)的定义及有限域Fq上n维向量空间的子空间计数定理,研究了矩阵M(l1,l2;n,b)的性质及其平均汉明(Hamming)距离和均方差问题,给出了它们的计算公式.The main purpose of this article is to study the average Hamming distance and mean square deviation and properties of binary superimposed code M(l1,l2;n,b)by definition of the dz-disjunct matrix M(l1,l2;n,b)and the dimensional properties of subspaces in ndimensional vector space over finite fields Fq.Their computational formulas are obtained.

关 键 词：有限域Fq上向量空间 d^(z)-析取矩阵M(l1 l2 n b) 平均汉明距离 均方差 

分 类 号：O151.21[理学—数学]