An exponent bound on skew Hadamard abelian difference sets

DOI10.1007/BF01388647zbMath0807.05012OpenAlexW1980515556MaRDI QIDQ1335417

Xiang Qing, Qing Chen Yu, Surinder K. Sehgal

Publication date: 4 October 1994

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01388647

zbMATH Keywords

difference setabelian \(p\)-groupexponent boundskew Hadamard abelian difference sets

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (13)

Skew Hadamard difference sets from the Ree-Tits slice symplectic spreads in PG\((3,3^{2h+1})\) ⋮ Pseudo-Paley graphs and skew Hadamard difference sets from presemifields ⋮ A family of skew Hadamard difference sets ⋮ Skew Hadamard Difference Sets from Dickson Polynomials of Order 7 ⋮ Pure Gauss sums and skew Hadamard difference sets ⋮ Non-Abelian skew Hadamard difference sets fixed by a prescribed automorphism ⋮ A recursive construction for skew Hadamard difference sets ⋮ Abelian and non-abelian Paley type group schemes ⋮ Cyclotomic constructions of skew Hadamard difference sets ⋮ Paley type sets from cyclotomic classes and Aarasu-Dillon-Player difference sets ⋮ Paley type group schemes and planar Dembowski-Ostrom polynomials ⋮ Some results on skew Hadamard difference sets ⋮ Recent progress in algebraic design theory

Cites Work

• Antisymmetric difference sets
• Skew-Hadamard Abelian group difference sets
• On Orthogonal Matrices
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