Relative difference sets, planar functions, and generalized Hadamard matrices

DOI10.1006/jabr.1995.1198zbMath0830.05012OpenAlexW1981732650MaRDI QIDQ1895634

Alexander Pott, Siu Lun Ma

Publication date: 28 January 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1198

zbMATH Keywords

relative difference setscharacterization theoremsgeneralized Hadamard matricesplanar functionsabelian \(p\)-groupsfinite planes

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (12)

On \((p^ a,p,p^ a,p^{a-1})\)-relative difference sets ⋮ Nearly perfect sequences with arbitrary out-of-phase autocorrelation ⋮ A family of skew Hadamard difference sets ⋮ On \((p^ a,p^ b,p^ a,p^{a-b})\)-relative difference sets ⋮ A unifying construction for difference sets ⋮ Divisible designs and semi-regular relative difference sets from additive Hadamard cocycles ⋮ Characterizations of bent and almost bent function on \({\mathbb{Z}}_p^2\) ⋮ Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction ⋮ A construction for modified generalized Hadamard matrices using QGH matrices ⋮ Semiregular relative difference sets in 2-groups containing a cyclic subgroup of index 2 ⋮ \(q\)-ary bent functions constructed from chain rings ⋮ On \((p^2,p,p^2,p)\)-difference sets in \(\mathbb{Z}_p^3\)

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