A class of cyclic (v; k1, k2, k3; λ) difference families with v ≡ 3 (mod 4) a prime-Reference-Cited by-同舟云学术

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

Published:2016-01-07 Issue:1 Volume:4 Page:
ISSN:2300-7451
Container-title:Special Matrices
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Author:

Ðokovic Dragomir Ž.,Kotsireas Ilias S.

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2016-0029/pdf

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