ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES, ADTHM

Dane Flannery

doi:10.1007/978-3-319-17729-8_8

ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES, ADTHM

Dane Flannery

Mathematics

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

Abstract

We classify all the cocyclic Butson Hadamard matrices BH(n, p) of order n over the pth roots of unity for an odd prime p and np = 100. That is, we compile a list of matrices such that any cocyclic BH(n, p) for these n, p is equivalent to exactly one element in the list. Our approach encompasses non-existence results and computational machinery for Butson and generalized Hadamard matrices that are of independent interest.

Original language	English (Ireland)
Title of host publication	Classifying Cocyclic Butson Hadamard Matrices
Number of pages	14
Volume	133
DOIs	https://doi.org/10.1007/978-3-319-17729-8_8
Publication status	Published - 1 Jun 2015

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Egan, R,Flannery, D,Cathain, PO,Colbourn, CJ

Access to Document

10.1007/978-3-319-17729-8_8

Cite this

@inproceedings{2d6928d20872425b860af38fe51dc58a,

title = "ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES, ADTHM",

abstract = "We classify all the cocyclic Butson Hadamard matrices BH(n, p) of order n over the pth roots of unity for an odd prime p and np = 100. That is, we compile a list of matrices such that any cocyclic BH(n, p) for these n, p is equivalent to exactly one element in the list. Our approach encompasses non-existence results and computational machinery for Butson and generalized Hadamard matrices that are of independent interest.",

author = "Dane Flannery",

year = "2015",

month = jun,

day = "1",

doi = "10.1007/978-3-319-17729-8\_8",

language = "English (Ireland)",

volume = "133",

booktitle = "Classifying Cocyclic Butson Hadamard Matrices",

}

TY - GEN

T1 - ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES, ADTHM

AU - Flannery, Dane

PY - 2015/6/1

Y1 - 2015/6/1

N2 - We classify all the cocyclic Butson Hadamard matrices BH(n, p) of order n over the pth roots of unity for an odd prime p and np = 100. That is, we compile a list of matrices such that any cocyclic BH(n, p) for these n, p is equivalent to exactly one element in the list. Our approach encompasses non-existence results and computational machinery for Butson and generalized Hadamard matrices that are of independent interest.

AB - We classify all the cocyclic Butson Hadamard matrices BH(n, p) of order n over the pth roots of unity for an odd prime p and np = 100. That is, we compile a list of matrices such that any cocyclic BH(n, p) for these n, p is equivalent to exactly one element in the list. Our approach encompasses non-existence results and computational machinery for Butson and generalized Hadamard matrices that are of independent interest.

U2 - 10.1007/978-3-319-17729-8_8

DO - 10.1007/978-3-319-17729-8_8

M3 - Conference Publication

VL - 133

BT - Classifying Cocyclic Butson Hadamard Matrices

ER -

ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES, ADTHM

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

Fingerprint

Cite this