Inequivalence of skew Hadamard difference sets and triple intersection numbers modulo a prime
arXiv:1308.1161
Abstract
Recently, Feng and Xiang \cite{FX113} found a new construction of skew Hadamard difference sets in elementary abelian groups. In this paper, we introduce a new invariant for equivalence of skew Hadamard difference sets, namely triple intersection numbers modulo a prime, and discuss inequivalence between Feng-Xiang skew Hadamard difference sets and the Paley difference sets. As a consequence, we show that their construction produces infinitely many skew Hadamard difference sets inequivalent to the Paley difference sets.
14 pages. arXiv admin note: text overlap with arXiv:1101.2994 by other authors
References in corpus (4)
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