On the Number of Orthogonal Systems in Vector Spaces over Finite Fields

Le Anh Vinh
2008 Electronic Journal of Combinatorics  
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.
doi:10.37236/907 fatcat:awvqfp3ayrafjenwr2xz2rpts4