On the singularity of generalised Vandermonde matrices over finite fields

Igor E. Shparlinski*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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=1 m, where λ(inf)1(/inf),...,λ(inf)m(/inf) ∈ Fq* are fixed nonzero elements, taken over all (q - 1)m integer m-tuples (u1,...,um) ∈ [0, q - 2]m.

Original languageEnglish
Pages (from-to)193-199
Number of pages7
JournalFinite Fields and their Applications
Volume11
Issue number2
DOIs
Publication statusPublished - Apr 2005

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