On the number of orthogonal systems in vector spaces over finite fields
Combinatorics
2008-07-18 v1
Abstract
Iosevich and Senger (2008) showed that if a subset of the d-dimensional vector space over a finite field is large enough, then it contains many k-tuples of mutually orthogonal vectors. In this note, we provide a graph theoretic proof of this result.
Keywords
Cite
@article{arxiv.0807.2690,
title = {On the number of orthogonal systems in vector spaces over finite fields},
author = {Le Anh Vinh},
journal= {arXiv preprint arXiv:0807.2690},
year = {2008}
}