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

Dragomir Ž. Ðokovic, and Ilias S. Kotsireas. "A class of cyclic (v; k1, k2, k3; λ) difference families with v ≡ 3 (mod 4) a prime." Special Matrices 4.1 (2016): null. <http://eudml.org/doc/287098>.

@article{DragomirŽ2016,
abstract = {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.},
author = {Dragomir Ž. Ðokovic, Ilias S. Kotsireas},
journal = {Special Matrices},
language = {eng},
number = {1},
pages = {null},
title = {A class of cyclic (v; k1, k2, k3; λ) difference families with v ≡ 3 (mod 4) a prime},
url = {http://eudml.org/doc/287098},
volume = {4},
year = {2016},
}

TY - JOUR
AU - Dragomir Ž. Ðokovic
AU - Ilias S. Kotsireas
TI - A class of cyclic (v; k1, k2, k3; λ) difference families with v ≡ 3 (mod 4) a prime
JO - Special Matrices
PY - 2016
VL - 4
IS - 1
SP - null
AB - 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.
LA - eng
UR - http://eudml.org/doc/287098
ER -