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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access October 7, 2016

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
From the journal Special Matrices


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.


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Received: 2016-3-18
Accepted: 2016-7-15
Published Online: 2016-10-7

©2016 Dragomir Ž. Ðokovic* and Ilias S. Kotsireas

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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