Abstract
LetNbe the number of affine zeros of a pair of quadratic forms inn+1 variables defined over a finite fieldFq. We give upper and lower bounds forNand show that these bounds are optimal. One result states that ifn+1≥10 and every quadratic form in the pencil has order at least three, then N-qn-1<qn-2.
| Original language | English |
|---|---|
| Pages (from-to) | 157-176 |
| Number of pages | 20 |
| Journal | Finite Fields and Their Applications |
| Volume | 5 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 1999 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Algebra and Number Theory
- General Engineering
- Applied Mathematics
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