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

Show simple item record Kreher, Donald Caen, Dominique Hobart, Sylvia Kramer, Earl Radziszowski, Stanislaw 2009-01-14T18:25:37Z 2009-01-14T18:25:37Z 1993
dc.identifier.citation Australasian Journal of Combinatorics 7 (1993) 3-20
dc.identifier.issn 1034-4942
dc.description This article is also available at the journal's site at: 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 RIT Scholars content from RIT Digital Media Library has moved from to RIT Scholar Works, please update your feeds & links!
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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