New constructions of Hadamard matrices

@article{Leung2020NewCO,
title={New constructions of Hadamard matrices},
author={K. H. Leung and K. Momihara},
journal={J. Comb. Theory, Ser. A},
year={2020},
volume={171}
}
• Published 2020
• Mathematics, Computer Science
• J. Comb. Theory, Ser. A

References

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A recursive theorem is given that for all odd n>1 constructs Paley partial difference sets in certain groups of order n^4 and 9n^4. Expand
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We present a construction of Hadamard difference sets in abelian groups of order 4p4n, whose Sylowp-subgroups are elementary. By a standard composition procedure, we can now conclude that (4h2,Expand
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1. Introduction. C-matrices appear in the literature at various places; for a survey, see [11]. Important for the construction of Hadamard matrices are the symmetric C-matrices, of order v = 2 (modExpand
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