# 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
In this paper, we obtain a number of new infinite families of Hadamard matrices. Our constructions are based on four new constructions of difference families with four or eight blocks. By applying the Wallis-Whiteman array or the Kharaghani array to the difference families constructed, we obtain new Hadamard matrices of order $4(uv+1)$ for $u=2$ and $v\in \Phi_1\cup \Phi_2 \cup \Phi_3 \cup \Phi_4$; and for $u\in \{3,5\}$ and $v\in \Phi_1\cup \Phi_2 \cup \Phi_3$. Here, \$\Phi_1=\{q^2:q\equiv 1… Expand
1 Citations

#### Topics from this paper

A new family of Hadamard matrices of order 4(2q2+1)
• Mathematics, Computer Science
• Discret. Math.
• 2021

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