Constructions of relative difference sets with classical parameters and circulant weighing matrices

Constructions of relative difference sets with classical parameters and circulant weighing matrices

In this paper, a new family of relative difference sets with parameters (m,n,k,λ)=((q^7-1)/(q-1), 4(q-1), q^6, q^5/4) is constructed where q is a 2-power. The construction is based on the technique used in [2]. By a similar method, we also construct some new circulant weighing matrices of or...

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Main Authors: Leung, Ka Hin, Ma, Siu Lun, Bernhard, Schmidt
Format: Article
Language:English
Published: 2009
Subjects:
DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
Online Access:https://hdl.handle.net/10356/91381
http://hdl.handle.net/10220/6067
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-913812023-02-28T19:37:09Z Constructions of relative difference sets with classical parameters and circulant weighing matrices Leung, Ka Hin Ma, Siu Lun Bernhard, Schmidt DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics In this paper, a new family of relative difference sets with parameters (m,n,k,λ)=((q^7-1)/(q-1), 4(q-1), q^6, q^5/4) is constructed where q is a 2-power. The construction is based on the technique used in [2]. By a similar method, we also construct some new circulant weighing matrices of order q^(d-1) where q is a 2-power, d is odd and d => 5. Accepted version 2009-08-12T06:30:08Z 2019-12-06T18:04:40Z 2009-08-12T06:30:08Z 2019-12-06T18:04:40Z 2002 2002 Journal Article Leung, K. H., Ma, S. L., & Schmidt, B. (2002). Constructions of relative difference sets with classical parameters and circulant weighing matrices. Journal of Combinatorial Theory Series A, 99(1), 111-127. 0097-3165 https://hdl.handle.net/10356/91381 http://hdl.handle.net/10220/6067 10.1006/jcta.2002.3262 en Journal of combinatorial theory series A Journal of Combinatorial Theory Series A © copyright 2002 Elsevier. The journal's website is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WHS-46571FP-9&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721bf8d6eb9e0ee88dc9f381c475319c. 19 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
spellingShingle DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
Leung, Ka Hin
Ma, Siu Lun
Bernhard, Schmidt
Constructions of relative difference sets with classical parameters and circulant weighing matrices
description In this paper, a new family of relative difference sets with parameters (m,n,k,λ)=((q^7-1)/(q-1), 4(q-1), q^6, q^5/4) is constructed where q is a 2-power. The construction is based on the technique used in [2]. By a similar method, we also construct some new circulant weighing matrices of order q^(d-1) where q is a 2-power, d is odd and d => 5.
format Article
author Leung, Ka Hin
Ma, Siu Lun
Bernhard, Schmidt
author_facet Leung, Ka Hin
Ma, Siu Lun
Bernhard, Schmidt
author_sort Leung, Ka Hin
title Constructions of relative difference sets with classical parameters and circulant weighing matrices
title_short Constructions of relative difference sets with classical parameters and circulant weighing matrices
title_full Constructions of relative difference sets with classical parameters and circulant weighing matrices
title_fullStr Constructions of relative difference sets with classical parameters and circulant weighing matrices
title_full_unstemmed Constructions of relative difference sets with classical parameters and circulant weighing matrices
title_sort constructions of relative difference sets with classical parameters and circulant weighing matrices
publishDate 2009
url https://hdl.handle.net/10356/91381
http://hdl.handle.net/10220/6067
_version_ 1759856166400163840

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