English

Orthogonal systems in vector spaces over finite fields

Combinatorics 2008-07-04 v1 Number Theory

Abstract

We prove 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.

Keywords

Cite

@article{arxiv.0807.0592,
  title  = {Orthogonal systems in vector spaces over finite fields},
  author = {Alex Iosevich and Steve Senger},
  journal= {arXiv preprint arXiv:0807.0592},
  year   = {2008}
}
R2 v1 2026-06-21T10:57:14.476Z