2013/08/06 by Koji Momihara, Momihara, Koji
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems #math.CO
paper · pdf · doi:10.48550/arxiv.1308.1161
14 pages. arXiv admin note: text overlap with arXiv:1101.2994 by other authors
openalex publication_date 2013/08/06 · arxiv created 2013/09/27 · arxiv updated 2013/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, Feng and Xiang \citeFX113 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.