Orderly generation of Butson Hadamard matrices

DOI10.1090/mcom/3453zbMath1423.05034arXiv1707.02287OpenAlexW2963697722MaRDI QIDQ5235101

Pekka H. J. Lampio, Ferenc Szöllősi, Patric R. J. Östergård

Publication date: 7 October 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02287

zbMATH Keywords

automorphism groupcliqueButson Hadamard matrices

Mathematics Subject Classification ID

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

Related Items (7)

Equivalence of Butson-type Hadamard matrices ⋮ Block-circulant complex Hadamard matrices ⋮ Quaternary complex Hadamard matrices of order 18 ⋮ Butson full propelinear codes ⋮ Nonexistence results on generalized bent functions \(\mathbb{Z}_q^m \rightarrow \mathbb{Z}_q\) with odd \(m\) and \(q \equiv 2\pmod 4\) ⋮ Bilinear forms on finite abelian groups and group-invariant Butson Hadamard matrices ⋮ Constructions of Butson Hadamard matrices invariant under abelian \(p\)-groups

Uses Software

• Cliquer

Cites Work

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• Unreal \(\mathrm{BH}(n,6)\)'s and Hadamard matrices
• BCCB complex Hadamard matrices of order 9, and MUBs
• Uniqueness of Butson Hadamard matrices of small degrees
• Small circulant complex Hadamard matrices of Butson type
• Classification of generalized Hadamard matrices \(H(6,3)\) and quaternary Hermitian self-dual codes of length 18
• Classification of difference matrices over cyclic groups
• Representations of quantum permutation algebras
• Classification algorithms for codes and designs
• Complex Hadamard matrices and the spectral set conjecture
• Parametrizing complex Hadamard matrices
• 2-(31,15,7), 2-(35,17,8) and 2-(36,15,6) designs with automorphisms of odd prime order, and their related Hadamard matrices and codes
• Hermitian congruence and the existence of completion of generalized Hadamard matrices
• A construction for generalized Hadamard matrices
• Orthogonal arrays. Theory and applications
• Classification of Hadamard matrices of order 28
• A fast algorithm for the maximum clique problem
• Complex Golay sequences: Structure and applications
• Symmetric \((4,4)\)-nets and generalized Hadamard matrices over groups of order 4
• Bounds on the number of affine, symmetric, and Hadamard designs and matrices
• Classification of Hadamard matrices of order 24 and 28
• The quaternary complex Hadamard matrices of orders 10, 12, and 14
• On vanishing sums of roots of unity.
• On quaternary complex Hadamard matrices of small orders
• On \(\mathrm{STD}_6[18,3\)'s and \(\mathrm{STD}_7[21,3]\)'s admitting a semiregular automorphism group of order 9]
• All teleportation and dense coding schemes
• A note on the existence of BH(19,6) matrices
• Isolated Hadamard matrices from mutually unbiased product bases
• On the classification of Hadamard matrices of order 32
• Some results on the parametrization of complex Hadamard matrices
• A Concise Guide to Complex Hadamard Matrices
• Classifying Cocyclic Butson Hadamard Matrices
• Switching Operations for Hadamard Matrices
• Enumeration of generalized Hadamard matrices of order 16 and related designs
• Generalized Hadamard Matrices
• Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations
• Complex Hadamard matrices
• Hadamard Matrices of Order 32
• On the non-existence of generalized Hadamard matrices
• Hadamard matrices and their applications
• On the non-existence of generalized Hadamard matrices

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