Quaternary complex Hadamard matrices of order 18

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

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-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 languageEnglish
Pages (from-to)129-140
Number of pages12
JournalJournal of Combinatorial Designs
Volume29
Issue number3
DOIs
Publication statusAccepted/In press - 2020
MoE publication typeA1 Journal article-refereed

Keywords

  • Butson-type Hadamard matrix
  • classification
  • complex matrix

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