Geodesic
On the number of orthogonal systems in vector spaces over finite fields
The electronic journal of combinatorics, Tome 15 (2008)
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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
Classification : 05C50, 05C35, 11T23, 05B15 
@article{10_37236_907,
     author = {Le Anh Vinh},
     title = {On the number of orthogonal systems in vector spaces over finite fields},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/907},
     zbl = {1160.05323},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/907/}
}
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Le Anh Vinh. On the number of orthogonal systems in vector spaces over finite fields. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/907

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