# Constructions of Hadamard Difference Sets

@article{Wilson1997ConstructionsOH, title={Constructions of Hadamard Difference Sets}, author={Richard M. Wilson and Qing Xiang}, journal={J. Comb. Theory, Ser. A}, year={1997}, volume={77}, pages={148-160} }

Using a spread ofPG(3, p) and certain projective two-weight codes, we give a general construction of Hadamard difference sets in groupsH×(Zp)4, whereHis either the Klein 4-group or the cyclic group of order 4, andpis an odd prime. In the casep?3 (mod 4), we use an ovoidal fibration ofPG(3, p) to construct Hadamard difference sets, this construction includes Xia's construction of Hadamard difference sets as a special case. In the casep?1 (mod 4), we construct new reversible Hadamard difference… Expand

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#### 26 Citations

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