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

^*Tämän työn vastaava kirjoittaja

Information Theory

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

1 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	129-140
Sivumäärä	12
Julkaisu	Journal of Combinatorial Designs
Vuosikerta	29
Numero	3
DOI - pysyväislinkit	https://doi.org/10.1002/jcd.21760
Tila	Julkaistu - maalisk. 2021
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Pääsy asiakirjaan

10.1002/jcd.21760

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Koko teksti

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Link to publication in Scopus

Dataset for Quaternary Complex Hadamard Matrices of Order 18
Östergård, P. (Creator) & Paavola, W. (Creator), Zenodo, 30 maalisk. 2020
DOI - pysyväislinkki: 10.5281/zenodo.3733060, https://zenodo.org/record/3733061
Tietoaineisto: Dataset

Konstruktion och klassificering av diskreta matematiska strukturer
Kokkala, J., Laaksonen, A., Östergård, P., Szollosi, F., Pöllänen, A., Ganzhinov, M. & Heinlein, D.
01/09/2015 → 31/08/2019
Projekti: Academy of Finland: Other research funding

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title = "Quaternary complex Hadamard matrices of order 18",

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.",

keywords = "Butson-type Hadamard matrix, classification, complex matrix",

author = "{\"O}sterg{\aa}rd, {Patric R.J.} and Paavola, {William T.}",

year = "2021",

month = mar,

doi = "10.1002/jcd.21760",

language = "English",

volume = "29",

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journal = "Journal of Combinatorial Designs",

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TY - JOUR

T1 - Quaternary complex Hadamard matrices of order 18

AU - Östergård, Patric R.J.

AU - Paavola, William T.

PY - 2021/3

Y1 - 2021/3

N2 - 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.

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.

KW - Butson-type Hadamard matrix

KW - classification

KW - complex matrix

UR - http://www.scopus.com/inward/record.url?scp=85096693476&partnerID=8YFLogxK

U2 - 10.1002/jcd.21760

DO - 10.1002/jcd.21760

M3 - Article

AN - SCOPUS:85096693476

SN - 1063-8539

VL - 29

SP - 129

EP - 140

JO - Journal of Combinatorial Designs

JF - Journal of Combinatorial Designs

IS - 3

ER -

Quaternary complex Hadamard matrices of order 18

Abstrakti

Pääsy asiakirjaan

OpenUrl-saatavuus

Muut tiedostot ja linkit

Sormenjälki

Tietoaineistot

Dataset for Quaternary Complex Hadamard Matrices of Order 18

Projektit

Konstruktion och klassificering av diskreta matematiska strukturer

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