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}
}
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)

References

SHOWING 1-10 OF 24 REFERENCES
Paley partial difference sets in groups of order n4 and 9n4 for any odd n>1
On the Existence of Abelian Hadamard Difference Sets and a New Family of Difference Sets
On Hadamard matrices
Constructions of Hadamard Difference Sets
A Unifying Construction for Difference Sets
ORTHOGONAL MATRICES WITH ZERO DIAGONAL
An infinite class of supplementary difference sets and Williamson matrices
Some Infinite Classes of Special Williamson Matrices and Difference Sets
  • Ming-Yuan Xia
  • Mathematics, Computer Science
  • J. Comb. Theory, Ser. A
  • 1992
New Hadamard matrices of order 4p2 obtained from Jacobi sums of order 16
...
1
2
3
...