Article ID Journal Published Year Pages File Type
9492938 Finite Fields and Their Applications 2005 7 Pages PDF
Abstract
We use an upper bound on the number of zeros of sparse polynomials over a finite field Fq to estimate the number of singular matrices of the form (λiuj)i,j=1m, where λ1,…,λm∈Fq* are fixed nonzero elements, taken over all (q-1)m integer m-tuples (u1,…,um)∈[0,q-2]m.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the singularity of generalised Vandermonde matrices over finite fields
Authors
,