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arXiv · 2607.20275

Triple arrays from ovals in finite projective planes

Sunanda Bagchi·Bhaskar Bagchi
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Abstract

In this paper we prove that whenever a projective plane of odd order n contains an oval, it may be used to construct a triple array with n + 1 rows, n.n columns and n(n + 1) symbols. In particular, for any odd prime power s, we use the projective plane over the field of order s to construct an explicitly given (s + 1) times s.s triple array on s(s + 1) symbols. This is only the third infinite series of triple arrays (up to transposition) to be found. Our construction proves a recent conjecture of Gordeev and Ohman (2025) in the case of odd prime powers.

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Sunanda Bagchi, Bhaskar Bagchi. 2026-07-22. Triple arrays from ovals in finite projective planes. https://arxiv.org/abs/2607.20275

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