NEGATIVE LATIN SQUARE TYPE PARTIAL DIFFERENCE SETS IN NONELEMENTARY ABELIAN 2-GROUPS

DOI10.1112/S002461070400540XzbMath1051.05014arXivmath/0407423OpenAlexW2102520405MaRDI QIDQ4819169

Qing Xiang, James A. Davis

Publication date: 24 September 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407423

zbMATH Keywords

Galois ringsdifference setsLatin square

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (15)

Packings of partial difference sets ⋮ Negative Latin square type partial difference sets in nonabelian groups of order 64 ⋮ Lifting constructions of strongly regular Cayley graphs ⋮ Negative Latin square type partial difference sets and amorphic association schemes with Galois rings ⋮ Cyclic arcs of Singer type and strongly regular Cayley graphs over finite fields ⋮ Toward the classification of biangular harmonic frames ⋮ Partial difference sets and amorphic group schemes from pseudo-quadratic bent functions ⋮ A new product construction for partial difference sets ⋮ Association schemes related to Delsarte-Goethals codes ⋮ Non-existence of partial difference sets in abelian groups of order \(8p^3\) ⋮ Strongly regular graphs associated with ternary bent functions ⋮ Paley type group schemes and planar Dembowski-Ostrom polynomials ⋮ 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 ⋮ New necessary conditions on (negative) Latin square type partial difference sets in abelian groups

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