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

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Title: The Parameters 4-(12,6,6) and related t-designs
Author: Kreher, Donald; Caen, Dominique; Hobart, Sylvia; Kramer, Earl; Radziszowski, Stanislaw
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.
Description: This article is also available at the journal's site at: http://ajc.maths.uq.edu.au/
Record URI: http://hdl.handle.net/1850/8011
Date: 1993

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