| Let IFq be the finite field with q elements,where q is a power of a prime.Let Wl be the set of l-flat in the n-dimensional affine space AG(n,Fq)on Fq without passing through the origin.The author marks rows with Hi ∈ Wr,and marks columns with Pj∈Ws,constructing matrix H(r,s,n,q)=(cij):The H(r,s,n,q)is used as check matrix to get linear code C(u,v,w)on F2.Take M2 as the set of all m×n matrices whose rank is 1 on Fq.The rows are marked with Ai ∈ Mu,and the columns are marked with Bj ∈ Mv.Then the matrix H(u,v,w)=(hik)is constructed as follows:thers.The H(u,v,w)is used as check matrix to get linear code C(u,v,w)on F2.This article mainly discusses the parameters of two types of linear codes C(r,s,n,q)and C(u,v,w)in some special cases,namely C(n-1,0,n,2),C(1,1,1)and C(1,1,2). |
