Abelian and non-abelian Paley type group schemes

DOI10.1007/s10623-012-9640-3zbMath1264.05017OpenAlexW1996375647MaRDI QIDQ1951219

Yu Qing Chen, Tao Feng

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1007/s10623-012-9640-3

zbMATH Keywords

Hadamard designsskew Hadamard difference setPaley group schemePaley type group schemePaley type partial difference setPaley type strongly regular graphs

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Group actions on combinatorial structures (05E18)

Related Items (6)

Packings of partial difference sets ⋮ Difference sets disjoint from a subgroup. III: The skew relative cases ⋮ A recursive construction for skew Hadamard difference sets ⋮ Cyclotomic constructions of skew Hadamard difference sets ⋮ Difference sets disjoint from a subgroup ⋮ Paley type sets from cyclotomic classes and Aarasu-Dillon-Player difference sets

Cites Work

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• Non-Abelian skew Hadamard difference sets fixed by a prescribed automorphism
• Divisible designs and semi-regular relative difference sets from additive Hadamard cocycles
• Paley type partial difference sets in non \(p\)-groups
• A family of skew Hadamard difference sets
• Some results on skew Hadamard difference sets
• Perfect nonlinear binomials and their semifields
• On non-Abelian group difference sets
• A summary of noncylic difference sets, \(k<20\)
• A survey of partial difference sets
• An exponent bound on skew Hadamard abelian difference sets
• Partial difference sets in \(p\)-groups
• Difference sets with \(n=2p^m\)
• Paley partial difference sets in groups of order \(n^{4}\) and \(9n^{4}\) for any odd \(n>1\)
• Antisymmetric difference sets
• New semifields, PN and APN functions
• Paley type group schemes and planar Dembowski-Ostrom polynomials
• 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
• Character sums and difference sets
• Skew-Hadamard Abelian group difference sets
• On Orthogonal Matrices
• Partial Difference Sets with Paley Parameters
• 2-Transitive Symmetric Designs
• Difference Sets in a Finite Group

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