A note on Rudi Mathon
From BICA (12) 1994 by John van Rees Rudi Mathon Professor, University of Toronto We are always looking for new methods to tackle our favourite intractable problems. Those of us who know the hill-climbing and simulated annealing techniques realize that these are wonderful algorithms for finding various combinatorial objects. But often these algorithms are not powerful enough to do the job. So it is with great interest that we learn from Rudi Mathon, via his talk at the Vermont Summer Workshop, that there is a new variation to the search algorithms developed by the optimization people that may help us all. Rudi was examining Steiner Systems, S(t,k,v), exact packings of k-sets from a v-set with the property that each t-set occurs exactly once. For t ≥ 5, there are only 9 orders known to S(5,6,168). Rudi assumed the design had PSL2(23) as an automorphism group, obtained the 5-set and 6-set orbit representatives, and found which 6-set orbit representative covered which 5-set orbit r...