Quaternary complex Hadamard matrices of order 18

Patric R.J. Östergård; William T. Paavola

doi:10.1002/jcd.21760

Quaternary complex Hadamard matrices of order 18

Patric R.J. Östergård^*, William T. Paavola

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

Abstract

A technique for classifying Butson-type Hadamard matrices over the complex 4th roots of unity is developed. The technique resembles the approach used by Kharaghani and Tayfeh-Rezaie in their classification of the (real) (Formula presented.) Hadamard matrices, where the search is split into parts according to matrix types. A classification of the (Formula presented.) Butson-type Hadamard matrices over the complex 4th roots of unity is carried out; the number of such objects up to Hadamard equivalence is 1 955 625.

Original language	English
Pages (from-to)	129-140
Number of pages	12
Journal	Journal of Combinatorial Designs
Volume	29
Issue number	3
DOIs	https://doi.org/10.1002/jcd.21760
Publication status	Accepted/In press - 2020
MoE publication type	A1 Journal article-refereed

Keywords

Butson-type Hadamard matrix
classification
complex matrix

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10.1002/jcd.21760

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1 Finished

Construction and Classification of Discrete Mathematic Structures
Kokkala, J., Laaksonen, A., Heinlein, D., Ganzhinov, M., Östergård, P. & Szollosi, F.
01/09/2015 → 31/08/2019
Project: Academy of Finland: Other research funding

Cite this

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AB - A technique for classifying Butson-type Hadamard matrices over the complex 4th roots of unity is developed. The technique resembles the approach used by Kharaghani and Tayfeh-Rezaie in their classification of the (real) (Formula presented.) Hadamard matrices, where the search is split into parts according to matrix types. A classification of the (Formula presented.) Butson-type Hadamard matrices over the complex 4th roots of unity is carried out; the number of such objects up to Hadamard equivalence is 1 955 625.

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Quaternary complex Hadamard matrices of order 18

Abstract

Keywords

Access to Document

Construction and Classification of Discrete Mathematic Structures

Cite this