Inequivalence of skew Hadamard difference sets and triple intersection numbers modulo a prime
Combinatorics
2013-09-30 v3
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.
Keywords
Cite
@article{arxiv.1308.1161,
title = {Inequivalence of skew Hadamard difference sets and triple intersection numbers modulo a prime},
author = {Koji Momihara},
journal= {arXiv preprint arXiv:1308.1161},
year = {2013}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1101.2994 by other authors