南方科技大学知识苑(SUSTech KC): A new family of Hadamard matrices of order 4(2q2+1)

题名	A new family of Hadamard matrices of order 4(2q2+1)
作者	Leung，Ka Hin 1; Momihara，Koji 2; Xiang，Qing3
通讯作者	Xiang，Qing
发表日期	2021
DOI	10.1016/j.disc.2020.112163
发表期刊	DISCRETE MATHEMATICS 影响因子和分区
ISSN	0012-365X
EISSN	1872-681X
卷号	344 期号:1
摘要	Let q be a prime power of the form q=12c+4c+3 for c an integer. In this paper we construct a difference family with parameters (2q;q,q,q,q−1;2q−2) in Z×(F,+). As a consequence, by applying the Wallis–Whiteman array, we obtain Hadamard matrices of order 4(2q+1) for the aforementioned q's.
关键词	Cyclotomy Difference family Hadamard matrix
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	通讯
资助项目	Ministry of Education, Republic of Singapore[R-146-000-276-114] ; JSPS, Japan[17K14236][15H03636]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000588280100015
出版者	ELSEVIER
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85091553322
来源库	Scopus
引用统计	被引频次[WOS]：0
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/185795
专题	理学院_数学系深圳国际数学中心（杰曼诺夫数学中心）（筹）
作者单位	1.Department of Mathematics,National University of Singapore,Kent Ridge, Singapore,119260,Singapore 2.Division of Natural Science,Faculty of Advanced Science and Technology,Kumamoto University,Kumamoto,2-40-1 Kurokami,860-8555,Japan 3.Department of Mathematics and SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
通讯作者单位	数学系; 深圳国际数学中心（杰曼诺夫数学中心）（筹）
推荐引用方式 GB/T 7714	Leung，Ka Hin,Momihara，Koji,Xiang，Qing. A new family of Hadamard matrices of order 4(2q2+1)[J]. DISCRETE MATHEMATICS,2021,344(1).
APA	Leung，Ka Hin,Momihara，Koji,&Xiang，Qing.(2021).A new family of Hadamard matrices of order 4(2q2+1).DISCRETE MATHEMATICS,344(1).
MLA	Leung，Ka Hin,et al."A new family of Hadamard matrices of order 4(2q2+1)".DISCRETE MATHEMATICS 344.1(2021).