Simplices over finite fields

2016/06/13 by Parshall, Hans · 1 citation
#05D10 #11T24 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1606.04040

Abstract

We prove that, provided d > k, every sufficiently large subset of F_q^d contains an isometric copy of every k-simplex that avoids spanning a nontrivial self-orthogonal subspace. We obtain comparable results for simplices exhibiting self-orthogonal behavior.

Cited by

• Distribution of simplices in the discrete and continuous settings

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