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arXiv · 1708.05098

Construction of symmetric Hadamard matrices

N. A. Balonin·Y. N. Balonin·D. Z. Djokovic·D. A. Karbovskiy·M. B. Sergeev
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Abstract

We systematically explore the new method of construction (known as the propus construction) of symmetric Hadamard matrices for small orders, $4v$. In particular we give the first examples of symmetric Hadamard matrices of order $156=4\cdot 39$. The smallest $v$ for which symmetric Hadamard matrices of order $4v$ are not known is now $v=47$.

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N. A. Balonin, Y. N. Balonin, D. Z. Djokovic, D. A. Karbovskiy, M. B. Sergeev. 2017-08-16. Construction of symmetric Hadamard matrices. https://doi.org/10.15217/issn1684-8853.2017.5.2

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