Geodesic
Inequivalence of skew Hadamard difference sets and triple intersection numbers modulo a prime
Koji Momihara1
1Kumamoto University
The electronic journal of combinatorics, Tome 20 (2013) no. 4
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Recently, Feng and Xiang 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.
DOI : 10.37236/3762
Classification : 05B10, 05E30
Mots-clés : skew Hadamard difference sets, Feng-Xiang difference set, Paley difference set

Koji Momihara  1

1 Kumamoto University 
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     title = {Inequivalence of skew {Hadamard} difference sets and triple intersection numbers modulo a prime},
     journal = {The electronic journal of combinatorics},
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Koji Momihara. Inequivalence of skew Hadamard difference sets and triple intersection numbers modulo a prime. The electronic journal of combinatorics, Tome 20 (2013) no. 4. doi: 10.37236/3762

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