On k-simplexes in (2k-1)-dimensional vector spaces over finite fields

Details On k-simplexes in (2k-1)-dimensional vector spaces over finite fields On k-simplexes in (2k-1)-dimensional vector spaces over finite fields

2009-03-13

arxiv.org/abs/0903.2506v1

Mathematics

Combinatorics

FPSAC 2009

Scientific paper

We show that if the cardinality of a subset of the $(2k-1)$-dimensional
vector space over a finite field with $q$ elements is $\gg
q^{2k-1-\frac{1}{2k}}$, then it contains a positive proportional of all
$k$-simplexes up to congruence.

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