Mathematica Moravica 2009, vol. 13, iss. 1, pp. 3741


Some new 2designs from a wreath product on 18 points
^{a}University of Novi Sad, Faculty of Agriculture ^{b}University of Novi Sad, Faculty of Technology
email: snmk@polj.ns.ac.rs
AbstractThe total of 22 2designs on 18 points have been found. All these designs have the same group as an automorphism group. This group can be represented as the wreath product of G and H, where G denotes the subgroup of order 3 of PSL(2,2) and H denotes the subgroup of order 12 of PSL(2,5). The 2(18,7,42·s) designs for s ε {15, 19, 25, 27, 30, 37, 38, 50} and the 2(18,8,28·s) designs for s ε {27, 44, 46, 48, 50, 53, 54, 57, 59, 61, 73, 77, 80, 81} have been detected. Up to our knowledge, 16 of these 22 found designs are new. 2000 Mathematics Subject Classification. Primary: 05B05; Secondary: 65D17.
Keywords
