Inequivalence of Skew Hadamard Difference Sets and Triple Intersection Numbers Modulo a Prime
Inequivalence of Skew Hadamard Difference Sets and Triple Intersection Numbers Modulo a Prime
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DOI：
10.37236/3762
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发表时间：
2013-08
期刊：
影响因子：
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通讯作者：
K. Momihara
中科院分区：
文献类型：
--
作者：
K. Momihara
最近，Feng和Xiang在初等交换群中构造了一个新的斜Hadamard差集.本文引入了斜Hadamard差集等价的一个新的不变量，即模素数的三重交数，并讨论了凤翔斜Hadamard差集与Paley差集的不等价性.因此，我们表明，他们的建设产生无穷多个斜Hadamard差集不等价于Paley差集。
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.