二元叠加码M_(q)(i:n,k,d)的检纠错性质  

Error-detecting and Error-correcting Properties of Binary Superposition Code M_(q)(i:d,k,n)

作　　者：韩桂玲[1] 徐峰[2] HAN Gui-ling;XU Feng(Department of Economic Management,Xuanhua Science and Technology Vocational College,Xuanhua 075100,China;Office of Academic Affairs,Xuanhua Science and Technology Vocational College,Xuanhua 075100,China)

机构地区：[1]宣化科技职业学院经济管理系,河北宣化075100 [2]宣化科技职业学院教务处,河北宣化075100

出　　处：《数学的实践与认识》2021年第4期240-244,共5页Mathematics in Practice and Theory

摘　　要：对于自然数i,d,k,n,0<i≤d<k<n,矩阵M_(q)(i:n,k,d)是一个基于有限域Fq上n维向量空间中子空间的相交关系的二元叠加码,研究了二元叠加码M_(q)(i:n,k,d)任意列之间的汉明距离,给出了它的检错性和纠错性.For natural numbers i,d,k,n,0<i≤d<k<n,The binary superposition code M(i:d,k,n)is a binary superposition code based on intersecting relation of tow subsets in the finite set[n]={1,2,…,t}.Hamming distance of the binary superposition code M(i:d,k,n)are studied and its error-detecting and error-correcting properties are obtained.

关 键 词：二元叠加码M_(q)(i:n k d) (d z)-析取矩阵 汉明距离 检错性 

分 类 号：O151.21[理学—数学]