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

Information Theory

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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	Published - Mar 2021
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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Quaternary complex Hadamard matrices of order 18

Abstract

Keywords

Access to Document

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Dataset for Quaternary Complex Hadamard Matrices of Order 18

Construction and Classification of Discrete Mathematic Structures

Cite this

Quaternary complex Hadamard matrices of order 18

Abstract

Keywords

Access to Document

SFX availability

Other files and links

Fingerprint

Datasets

Dataset for Quaternary Complex Hadamard Matrices of Order 18

Projects

Construction and Classification of Discrete Mathematic Structures

Cite this