AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given number of rows of unit weight, i.e., each having a single nonzero entry. We also determine the number of subspaces of a given dimension containing a given number of vectors of unit weight
AbstractIn this note, we find a sharp bound for the minimal number (or in general, indexing set) of ...
AbstractFor a prime p, we consider some natural classes of matrices over a finite field Fp of p elem...
AbstractWe show that for any subset E⊆Fqd with |E|≫qd−1+2d, the number of singular matrices whose ro...
AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given nu...
AbstractThe authors determine the number of (n+m)×t matrices A∗ of rank r+v, over a finite field GF(...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
This project was submitted to the Mathematics department in partial fulfillment of the requirements ...
AbstractGiven an m×n matrix M over E=GF(qt) and an ordered basis A={z1,…,zt} for field E over K=GF(q...
AbstractWe study a combinatorial problem for vector spaces over finite fields which generalizes the ...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
Helmke et al. have recently given a formula for the number of reachable pairs of matrices over a fin...
AbstractWe derive an explicit count for the number of singular n×n Hankel (Toeplitz) matrices whose ...
AbstractWe compute the ranks of inclusion matrices of affine subspaces of a finite dimensional vecto...
AbstractWe investigate constant rank subspaces of symmetric and hermitian matrices over finite field...
AbstractIn this note, we find a sharp bound for the minimal number (or in general, indexing set) of ...
AbstractFor a prime p, we consider some natural classes of matrices over a finite field Fp of p elem...
AbstractWe show that for any subset E⊆Fqd with |E|≫qd−1+2d, the number of singular matrices whose ro...
AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given nu...
AbstractThe authors determine the number of (n+m)×t matrices A∗ of rank r+v, over a finite field GF(...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
This project was submitted to the Mathematics department in partial fulfillment of the requirements ...
AbstractGiven an m×n matrix M over E=GF(qt) and an ordered basis A={z1,…,zt} for field E over K=GF(q...
AbstractWe study a combinatorial problem for vector spaces over finite fields which generalizes the ...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
Helmke et al. have recently given a formula for the number of reachable pairs of matrices over a fin...
AbstractWe derive an explicit count for the number of singular n×n Hankel (Toeplitz) matrices whose ...
AbstractWe compute the ranks of inclusion matrices of affine subspaces of a finite dimensional vecto...
AbstractWe investigate constant rank subspaces of symmetric and hermitian matrices over finite field...
AbstractIn this note, we find a sharp bound for the minimal number (or in general, indexing set) of ...
AbstractFor a prime p, we consider some natural classes of matrices over a finite field Fp of p elem...
AbstractWe show that for any subset E⊆Fqd with |E|≫qd−1+2d, the number of singular matrices whose ro...
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