“…Computer search shows that there is only one 3-(17, 8,14) design, the one due to Brouwer [3]: it is generated by the affine group GA17 acting on F 17 with generator blocks B 1 = {1, 2, 3, 4, 5, 6, 7, 8} and B 2 = {1, 2, 4,8,9,13,15, 16} (the squares). This design is not pairable because the disjointness relation on the blocks has odd components (cycles of length 17).…”