Abstract
A difference setD in a groupG is called a skew Hadamard difference set (or an antisymmetric difference set) if and only ifG is the disjoint union ofD, D(−1), and {1}, whereD(−1)={d−1|d∈D}. In this note, we obtain an exponent bound for non-elementary abelian groupG which admits a skew Hadamard difference set. This improves the bound obtained previously by Johnsen, Camion and Mann.
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References
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Chen, Y.Q., Xiang, Q. & Sehgal, S.K. An exponent bound on skew Hadamard abelian difference sets. Des Codes Crypt 4, 313–317 (1994). https://doi.org/10.1007/BF01388647
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DOI: https://doi.org/10.1007/BF01388647