Let Bn be the set of all n×n Boolean Matrices;R(A)denote the rOw space of A∈Bn,|R(A)|denote the cardinality of R(A),m,n,k,l,t,i,γi be positive integers,Si,λi be non negative integers.In this paper,we prove the following two results:rn(1)Let n≥13,n-3≥k＞Sl,Si+1＞Si,i=1,2,…,l-1.if k+l≤n,then for any rnm=2k+2Sl+2Sl-1+…+2S1,there exists A∈Bn,such that|R(A)|=m.rn(2)Let n≥13,n-3≥k＞Sn-k-1＞Sn-k-2＞…＞S1＞λt＞λt-1＞…＞rnλl,2≤t≤n-k.If exist γi(k+1≤γi≤n-1,i=1,2,…,t-1)γi＜γi+1 and rnλt-λt-1≤k-Sn-γ1,λt-i-λt-i-1≤Sn-γi-Sn-γi+1,i=1,2,…,t-2,then for any rnm=2k+2Sn-k-1+2Sn-k-2+…+2S1+2λt+2λt-1+…+2λ1,there exists A∈Bn,as such that|R(A)|=m.
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