The Parameters 4-(12,6,6) and related t-designs

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dc.contributor.author Kreher, Donald
dc.contributor.author Caen, Dominique
dc.contributor.author Hobart, Sylvia
dc.contributor.author Kramer, Earl
dc.contributor.author Radziszowski, Stanislaw
dc.date.accessioned 2009-01-14T18:25:37Z
dc.date.available 2009-01-14T18:25:37Z
dc.date.issued 1993
dc.identifier.citation Australasian Journal of Combinatorics 7 (1993) 3-20
dc.identifier.issn 1034-4942
dc.identifier.uri http://hdl.handle.net/1850/8011
dc.description This article is also available at the journal's site at: http://ajc.maths.uq.edu.au/ en_US
dc.description.abstract It is shown that a 4-(12,6,6) design, if it exists, must be rigid. The intimate relationship of such a design with 4-(12,5,4) designs and 5-(12,6,3) designs is presented and exploited. In this endeavor we found: (i) 30 nonisomorphic 4-(12,5,4) designs; (ii) all cyclic 3-(11,5,6) designs; (iii) all 5-(12,6,3) designs preserved by an element of order three fixing no points and no blocks; and (iv) all 5-(12,6,3) designs preserved by an element of order two fixing 2 points.
dc.language.iso en_US
dc.publisher Centre for Discrete Mathematics and Computing: Australasian Journal of Combinatorics
dc.relation.ispartofseries vol. 7
dc.relation.ispartofseries pps. 3-20
dc.title The Parameters 4-(12,6,6) and related t-designs
dc.type Article

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