Non-embeddable quasi-residual designs (Q1081607)

Two new examples of non-embeddable quasi-residual designs, with \(k<v\), for \(2\)-\((25,40,16,10,6)\) and \(2\)-\((36,63,28,16,12)\) are presented. These designs are the first ones known for parameters different from \(2\)-\((16,24,9,6,3)\). In a forthcoming paper [see a résumé: ''On quasi-residual designs'', Int. Conf. Finite Geom. Comb., ''De Ceder'', Deinze, Belgium, 1-7 June, 1986] the author constructs some new infinite families of non-embeddable quasi-residual designs for \(k<v\).