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arxiv: 0807.2690 · v1 · submitted 2008-07-17 · 🧮 math.CO

On the number of orthogonal systems in vector spaces over finite fields

classification 🧮 math.CO
keywords finiteorthogonalvectorcontainsd-dimensionalenoughfieldfields
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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.

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