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arXiv · 1903.01845

Maximal orthogonal sets of unimodular vectors over finite local rings of odd characteristic

Songpon Sriwongsa·Siripong Sirisuk
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Abstract

Let $R$ be a finite local ring of odd characteristic and $β$ a non-degenerate symmetric bilinear form on $R^2$. In this short note, we determine the largest possible cardinality of pairwise orthogonal sets of unimodular vectors in $R^2$.

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Songpon Sriwongsa, Siripong Sirisuk. 2019-03-05. Maximal orthogonal sets of unimodular vectors over finite local rings of odd characteristic. https://arxiv.org/abs/1903.01845

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