A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is
On the Number of Orthogonal Systems in Vector Spaces over Finite Fields
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