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arxiv: 0807.0592 · v1 · submitted 2008-07-03 · 🧮 math.CO · math.NT

Orthogonal systems in vector spaces over finite fields

classification 🧮 math.CO math.NT
keywords finiteorthogonalvectorcontainsd-dimensionalenoughfieldfields
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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.

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