Finding Simple T-designs by Using Basis Reduction
Donald L. Kreher, Stanisław Radziszowski · RIT Scholar Works (Rochester Institute of Technology) · 1986
In 1976, Kramer and Mesner observed that finding a t-design with a given automorphism group can be reduced to solving a matrix problem of the form AX=M, X[i]=0 or I, for all i, I < =i=6 and duplicate the results of Leavitt, Kramer and Magliveras [3,10] in substantially shorter time. Furthermore, a new simple 6-design was found using the algorithm described in this paper