Group invariant weighing matrices

Ming Ming Tan

doi:10.1007/s10623-018-0466-5

Group invariant weighing matrices

Ming Ming Tan

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

4 Scopus citations

Abstract

We investigate the existence problem of group invariant matrices using algebraic approaches. We extend the usual concept of multipliers to group rings with cyclotomic integers as coefficients. This concept is combined with the field descent method and rational idempotents to develop new non-existence results.

Original language	English (US)
Pages (from-to)	2677-2702
Number of pages	26
Journal	Designs, Codes, and Cryptography
Volume	86
Issue number	12
DOIs	https://doi.org/10.1007/s10623-018-0466-5
State	Published - Dec 1 2018
Externally published	Yes

Keywords

Circulant matrices
Field descent
Multipliers
Weighing matrices
Weil numbers

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

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10.1007/s10623-018-0466-5

Cite this

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title = "Group invariant weighing matrices",

abstract = "We investigate the existence problem of group invariant matrices using algebraic approaches. We extend the usual concept of multipliers to group rings with cyclotomic integers as coefficients. This concept is combined with the field descent method and rational idempotents to develop new non-existence results.",

keywords = "Circulant matrices, Field descent, Multipliers, Weighing matrices, Weil numbers",

author = "Tan, {Ming Ming}",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2018",

month = dec,

day = "1",

doi = "10.1007/s10623-018-0466-5",

language = "English (US)",

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AU - Tan, Ming Ming

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We investigate the existence problem of group invariant matrices using algebraic approaches. We extend the usual concept of multipliers to group rings with cyclotomic integers as coefficients. This concept is combined with the field descent method and rational idempotents to develop new non-existence results.

AB - We investigate the existence problem of group invariant matrices using algebraic approaches. We extend the usual concept of multipliers to group rings with cyclotomic integers as coefficients. This concept is combined with the field descent method and rational idempotents to develop new non-existence results.

KW - Circulant matrices

KW - Field descent

KW - Multipliers

KW - Weighing matrices

KW - Weil numbers

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JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 12

ER -

Group invariant weighing matrices

Abstract

Keywords

ASJC Scopus subject areas

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