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Embeddable partial Hadamard matrices related to the projective planes
Published 19 Dec 2023 in math.CO | (2312.12035v1)
Abstract: The existence of a projective plane of order $p\equiv3\pmod{4}$, where $p$ is a prime power, is shown to be equivalent to the existence of a balancedly multi-splittable embeddable $p2\times p(p+1)$ partial Hadamard matrix.
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