Difference sets in dihedral groups

Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF00124608

DC Field	Value
dc.title	Difference sets in dihedral groups
dc.contributor.author	Leung, K.H.
dc.contributor.author	Ma, S.L.
dc.contributor.author	Wong, Y.L.
dc.date.accessioned	2014-10-28T02:33:42Z
dc.date.available	2014-10-28T02:33:42Z
dc.date.issued	1991-12
dc.identifier.citation	Leung, K.H.,Ma, S.L.,Wong, Y.L. (1991-12). Difference sets in dihedral groups. Designs, Codes and Cryptography 1 (4) : 333-338. ScholarBank@NUS Repository. <a href="https://doi.org/10.1007/BF00124608" target="_blank">https://doi.org/10.1007/BF00124608</a>
dc.identifier.issn	09251022
dc.identifier.uri	http://scholarbank.nus.edu.sg/handle/10635/103133
dc.description.abstract	We study the existence of nontrivial (2 m, k, λ)-difference sets in dihedral groups. Some nonexistence results are proved. In particular, we show that n = k - λ is odd and φ{symbol}(n)/n < 1/2. Finally, a computer search shows that, except 5 undecided cases, no nontrivial difference set exists in dihedral groups for n ≤ 106. © 1992 Kluwer Academic Publishers.
dc.description.uri	http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/BF00124608
dc.source	Scopus
dc.type	Article
dc.contributor.department	MATHEMATICS
dc.description.doi	10.1007/BF00124608
dc.description.sourcetitle	Designs, Codes and Cryptography
dc.description.volume	1
dc.description.issue	4
dc.description.page	333-338
dc.description.coden	DCCRE
dc.identifier.isiut	NOT_IN_WOS
Appears in Collections:	Staff Publications

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