Some 2-(2n+1,n,n-1) designs with multiple extensions

dc.contributor.authorBreach, Derrick Rodney
dc.date.accessioned2015-12-16T00:14:48Z
dc.date.available2015-12-16T00:14:48Z
dc.date.issued1978en
dc.description.abstractA 2-(2n+1,n,λ) design can always be extended to a 3-(2n+2,n+1,λ) design by complementation. If λ is large enough there may.be other methods of extension. By constructing non-self-complementary 3-(18,9,7) designs it is shown that there is a 2-(17,8,7) design with 16 extensions. The method generalises to construct non-self complementary 3-(2n+2,n+1,n-1) designs for larger values of n.en
dc.identifier.urihttp://hdl.handle.net/10092/11626
dc.language.isoen
dc.publisherUniversity of Canterbury. Dept. of Mathematicsen
dc.relation.isreferencedbyNZCU
dc.rightsCopyright Derrick Rodney Breachen
dc.subject.anzsrcField of Research::01 - Mathematical Sciencesen
dc.titleSome 2-(2n+1,n,n-1) designs with multiple extensionsen
dc.typeDiscussion / Working Papers
uc.bibnumber106580
uc.collegeFaculty of Engineering
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