Constructions of Butson Hadamard matrices invariant under abelian \(p\)-groups

DOI10.1016/J.JCTA.2021.105433zbMath1461.05021OpenAlexW3128249154MaRDI QIDQ2019619

Yanyan Li

Publication date: 21 April 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2021.105433

zbMATH Keywords

orthogonal matricesgroup invariant matricessums of roots of unity

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Small circulant complex Hadamard matrices of Butson type
• Difference sets in Abelian 2-groups
• Construction of relative difference sets in \(p\)-groups
• Proof of a conjecture on Hadamard 2-groups
• On vanishing sums of roots of unity.
• Bilinear forms on finite abelian groups and group-invariant Butson Hadamard matrices
• Character sums and difference sets
• Constructions of partial difference sets and relative difference sets using Galois rings. II
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• 12. A survey of group invariant Butson matrices and their relation to generalized bent functions and various other objects
• Orderly generation of Butson Hadamard matrices
• Bijections between group rings preserving character sums

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