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	Some results on skew hadamard difference sets
	Weng, Guobiao; Hu, Lei
刊名	Designs codes and cryptography
	2009
卷号	50期号:1页码:93-105
关键词	Skew hadamard difference sets Hadamard difference sets Partial difference sets
ISSN号	0925-1022
DOI	10.1007/s10623-008-9216-4
通讯作者	Weng, guobiao(gbweng@is.ac.cn)
英文摘要	In this paper, we present two constructions of divisible difference sets based on skew hadamard difference sets. a special class of hadamard difference sets, which can be derived from a skew hadamard difference set and a paley type regular partial difference set respectively in two groups of orders v (1) and v (2) with |v (1) - v (2)| = 2, is contained in these constructions. some result on inequivalence of skew hadamard difference sets is also given in the paper. as a consequence of delsarte's theorem, the dual set of skew hadamard difference set is also a skew hadamard difference set in an abelian group. we show that there are seven pairwisely inequivalent skew hadamard difference sets in the elementary abelian group of order 3(5) or 3(7), and also at least four pairwisely inequivalent skew hadamard difference sets in the elementary abelian group of order 3(9). furthermore, the skew hadamard difference sets deduced by ree-tits slice symplectic spreads are the dual sets of each other when q a parts per thousand currency sign 3(11).
WOS关键词	REGULAR CAYLEY-GRAPHS
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000261951700005
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2398016
专题	中国科学院大学
通讯作者	Weng, Guobiao
作者单位	Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Weng, Guobiao,Hu, Lei. Some results on skew hadamard difference sets[J]. Designs codes and cryptography,2009,50(1):93-105.
APA	Weng, Guobiao,&Hu, Lei.(2009).Some results on skew hadamard difference sets.Designs codes and cryptography,50(1),93-105.
MLA	Weng, Guobiao,et al."Some results on skew hadamard difference sets".Designs codes and cryptography 50.1(2009):93-105.

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