A class of cyclic (v; k₁, k₂, k₃; λ) difference families with v ≡ 3 (mod 4) a prime

• Autorzy: Dragomir Ž. Ðokovic , Ilias S. Kotsireas
• Języki publikacji: EN

Abstrakty

EN

We construct several new cyclic (v; k1, k2, k3; λ) difference families, with v ≡ 3 (mod 4) a prime and λ = k1 + k2 + k3 − (3v − 1)/4. Such families can be used in conjunction with the well-known Paley-Todd difference sets to construct skew-Hadamard matrices of order 4v. Our main result is that we have constructed for the first time the examples of skew Hadamard matrices of orders 4 · 239 = 956 and 4 · 331 = 1324.

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2016
• Tom: 4
• Numer: 1

Daty

otrzymano

2016-03-18

zaakceptowano

2016-07-15

online

2016-10-07

Twórcy

autor

Dragomir Ž. Ðokovic

• University of Waterloo, Department of Pure Mathematics, Waterloo, Ontario, N2L 3G1, Canada

autor

Ilias S. Kotsireas

• Wilfrid Laurier University, Department of Physics & Computer Science, Waterloo, Ontario, N2L 3C5, Canada

Identyfikatory

DOI

10.1515/spma-2016-0029