Paley type partial difference sets in non \(p\)-groups

DOI10.1007/S10623-009-9274-2zbMath1191.05026OpenAlexW2039770337MaRDI QIDQ735019

John B. Polhill

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1007/s10623-009-9274-2

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Finite abelian groups (20K01) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (13)

Packings of partial difference sets ⋮ Construction and nonexistence of strong external difference families ⋮ Existence and non-existence results for strong external difference families ⋮ Toward the classification of biangular harmonic frames ⋮ A new family of partial difference sets in 3-groups ⋮ Partial difference sets and amorphic group schemes from pseudo-quadratic bent functions ⋮ Paley type partial difference sets in abelian groups ⋮ Abelian and non-abelian Paley type group schemes ⋮ Paley partial difference sets in groups of order \(n^{4}\) and \(9n^{4}\) for any odd \(n>1\) ⋮ Constructions of almost difference sets from finite fields ⋮ Paley type sets from cyclotomic classes and Aarasu-Dillon-Player difference sets ⋮ Paley type group schemes and planar Dembowski-Ostrom polynomials ⋮ New necessary conditions on (negative) Latin square type partial difference sets in abelian groups

Cites Work

• Unnamed Item
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• Amorphic association schemes with negative Latin square-type graphs
• New negative Latin square type partial difference sets in nonelementary Abelian 2-groups and 3-groups
• Some results on skew Hadamard difference sets
• Some infinite classes of special Williamson matrices and difference sets
• On the existence of abelian Hadamard difference sets and a new family of difference sets
• A survey of partial difference sets
• Partial difference sets in \(p\)-groups
• A unifying construction for difference sets
• Switching of edges in strongly regular graphs. I: A family of partial difference sets on 100 vertices
• On Xia's construction of Hadamard difference sets
• Character sums and difference sets
• Decomposition fields of difference sets
• A Family of Difference Sets
• On Orthogonal Matrices
• Partial Difference Sets with Paley Parameters
• Constructions of Hadamard difference sets

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