Geodesic
Orthogonal systems in vector spaces over finite fields
The electronic journal of combinatorics, Tome 15 (2008)

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Zbl arXiv EuDML
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.
DOI : 10.37236/875
Classification : 05B15, 11B05, 11H06 
Alex Iosevich; Steven Senger. Orthogonal systems in vector spaces over finite fields. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/875
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     author = {Alex Iosevich and Steven Senger},
     title = {Orthogonal systems in vector spaces over finite fields},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/875},
     zbl = {1206.05028},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/875/}
}
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