Small circulant complex Hadamard matrices of Butson type

DOI10.1016/j.ejc.2015.05.010zbMath1321.05026arXiv1311.5390OpenAlexW1565641324MaRDI QIDQ499484

Jean-Marc Schlenker, Gaurush Hiranandani

Publication date: 30 September 2015

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5390

zbMATH Keywords

equivalence classes matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

Related Items (7)

Classifying Cocyclic Butson Hadamard Matrices ⋮ Analytic aspects of the circulant Hadamard conjecture ⋮ Circulant matrices with orthogonal rows and off-diagonal entries of absolute value 1 ⋮ Bilinear forms on finite abelian groups and group-invariant Butson Hadamard matrices ⋮ Constructions of Butson Hadamard matrices invariant under abelian \(p\)-groups ⋮ Necessary conditions for the existence of group-invariant Butson Hadamard matrices and a new family of perfect arrays ⋮ Orderly generation of Butson Hadamard matrices

Cites Work

• Analytic aspects of the circulant Hadamard conjecture
• Planar functions over finite fields
• Representations of quantum permutation algebras
• A conjecture on affine planes of prime order
• A note on permutation polynomials and finite geometries
• On vanishing sums of roots of unity.
• A Concise Guide to Complex Hadamard Matrices
• Generalized Hadamard Matrices
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