SSD(100, 5^30) via Theorem 9 (n=3, s=5, k=4) 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 0 1 2 3 4 1 0 1 2 3 4 1 0 1 2 3 4 1 0 1 2 3 4 1 0 1 2 3 4 0 1 2 3 4 0 1 1 2 3 4 0 1 1 2 3 4 0 1 1 2 3 4 0 1 1 2 3 4 0 0 2 3 4 0 1 1 2 3 4 0 1 1 2 3 4 0 1 1 2 3 4 0 1 1 2 3 4 0 1 0 3 4 0 1 2 1 3 4 0 1 2 1 3 4 0 1 2 1 3 4 0 1 2 1 3 4 0 1 2 0 4 0 1 2 3 1 4 0 1 2 3 1 4 0 1 2 3 1 4 0 1 2 3 1 4 0 1 2 3 0 0 2 4 1 3 2 0 2 4 1 3 2 0 2 4 1 3 2 0 2 4 1 3 2 0 2 4 1 3 0 1 3 0 2 4 2 1 3 0 2 4 2 1 3 0 2 4 2 1 3 0 2 4 2 1 3 0 2 4 0 2 4 1 3 0 2 2 4 1 3 0 2 2 4 1 3 0 2 2 4 1 3 0 2 2 4 1 3 0 0 3 0 2 4 1 2 3 0 2 4 1 2 3 0 2 4 1 2 3 0 2 4 1 2 3 0 2 4 1 0 4 1 3 0 2 2 4 1 3 0 2 2 4 1 3 0 2 2 4 1 3 0 2 2 4 1 3 0 2 0 0 3 1 4 2 3 0 3 1 4 2 3 0 3 1 4 2 3 0 3 1 4 2 3 0 3 1 4 2 0 1 4 2 0 3 3 1 4 2 0 3 3 1 4 2 0 3 3 1 4 2 0 3 3 1 4 2 0 3 0 2 0 3 1 4 3 2 0 3 1 4 3 2 0 3 1 4 3 2 0 3 1 4 3 2 0 3 1 4 0 3 1 4 2 0 3 3 1 4 2 0 3 3 1 4 2 0 3 3 1 4 2 0 3 3 1 4 2 0 0 4 2 0 3 1 3 4 2 0 3 1 3 4 2 0 3 1 3 4 2 0 3 1 3 4 2 0 3 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 0 0 0 0 0 0 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 0 0 0 0 0 0 1 1 1 1 1 1 3 3 3 3 3 2 4 4 4 4 4 3 0 0 0 0 0 4 1 1 1 1 1 0 2 2 2 2 2 1 4 4 4 4 4 2 0 0 0 0 0 3 1 1 1 1 1 4 2 2 2 2 2 0 3 3 3 3 3 1 0 0 0 0 0 2 1 1 1 1 1 3 2 2 2 2 2 4 3 3 3 3 3 0 4 4 4 4 4 1 1 2 3 4 0 3 2 3 4 0 1 4 3 4 0 1 2 0 4 0 1 2 3 1 0 1 2 3 4 1 2 3 4 0 1 3 3 4 0 1 2 4 4 0 1 2 3 0 0 1 2 3 4 1 1 2 3 4 0 1 3 4 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 0 1 1 4 0 1 2 3 3 0 1 2 3 4 4 1 2 3 4 0 0 2 3 4 0 1 1 3 4 0 1 2 1 0 1 2 3 4 3 1 2 3 4 0 4 2 3 4 0 1 0 3 4 0 1 2 1 4 0 1 2 3 1 1 3 0 2 4 4 2 4 1 3 0 0 3 0 2 4 1 1 4 1 3 0 2 2 0 2 4 1 3 1 2 4 1 3 0 4 3 0 2 4 1 0 4 1 3 0 2 1 0 2 4 1 3 2 1 3 0 2 4 1 3 0 2 4 1 4 4 1 3 0 2 0 0 2 4 1 3 1 1 3 0 2 4 2 2 4 1 3 0 1 4 1 3 0 2 4 0 2 4 1 3 0 1 3 0 2 4 1 2 4 1 3 0 2 3 0 2 4 1 1 0 2 4 1 3 4 1 3 0 2 4 0 2 4 1 3 0 1 3 0 2 4 1 2 4 1 3 0 2 1 1 0 4 3 2 1 2 1 0 4 3 2 3 2 1 0 4 3 4 3 2 1 0 4 0 4 3 2 1 1 2 1 0 4 3 1 3 2 1 0 4 2 4 3 2 1 0 3 0 4 3 2 1 4 1 0 4 3 2 1 3 2 1 0 4 1 4 3 2 1 0 2 0 4 3 2 1 3 1 0 4 3 2 4 2 1 0 4 3 1 4 3 2 1 0 1 0 4 3 2 1 2 1 0 4 3 2 3 2 1 0 4 3 4 3 2 1 0 4 1 0 4 3 2 1 1 1 0 4 3 2 2 2 1 0 4 3 3 3 2 1 0 4 4 4 3 2 1 0 2 4 0 1 2 3 2 1 2 3 4 0 4 3 4 0 1 2 1 0 1 2 3 4 3 2 3 4 0 1 2 0 1 2 3 4 2 2 3 4 0 1 4 4 0 1 2 3 1 1 2 3 4 0 3 3 4 0 1 2 2 1 2 3 4 0 2 3 4 0 1 2 4 0 1 2 3 4 1 2 3 4 0 1 3 4 0 1 2 3 2 2 3 4 0 1 2 4 0 1 2 3 4 1 2 3 4 0 1 3 4 0 1 2 3 0 1 2 3 4 2 3 4 0 1 2 2 0 1 2 3 4 4 2 3 4 0 1 1 4 0 1 2 3 3 1 2 3 4 0 2 4 1 3 0 2 3 1 3 0 2 4 0 3 0 2 4 1 2 0 2 4 1 3 4 2 4 1 3 0 2 0 2 4 1 3 3 2 4 1 3 0 0 4 1 3 0 2 2 1 3 0 2 4 4 3 0 2 4 1 2 1 3 0 2 4 3 3 0 2 4 1 0 0 2 4 1 3 2 2 4 1 3 0 4 4 1 3 0 2 2 2 4 1 3 0 3 4 1 3 0 2 0 1 3 0 2 4 2 3 0 2 4 1 4 0 2 4 1 3 2 3 0 2 4 1 3 0 2 4 1 3 0 2 4 1 3 0 2 4 1 3 0 2 4 1 3 0 2 4 2 4 2 0 3 1 4 1 4 2 0 3 1 3 1 4 2 0 3 0 3 1 4 2 0 2 0 3 1 4 2 0 3 1 4 2 4 2 0 3 1 4 1 4 2 0 3 1 3 1 4 2 0 3 0 3 1 4 2 0 2 1 4 2 0 3 4 3 1 4 2 0 1 0 3 1 4 2 3 2 0 3 1 4 0 4 2 0 3 1 2 2 0 3 1 4 4 4 2 0 3 1 1 1 4 2 0 3 3 3 1 4 2 0 0 0 3 1 4 2 2 3 1 4 2 0 4 0 3 1 4 2 1 2 0 3 1 4 3 4 2 0 3 1 0 1 4 2 0 3 2 4 3 2 1 0 0 1 0 4 3 2 2 3 2 1 0 4 4 0 4 3 2 1 1 2 1 0 4 3 2 0 4 3 2 1 0 2 1 0 4 3 2 4 3 2 1 0 4 1 0 4 3 2 1 3 2 1 0 4 2 1 0 4 3 2 0 3 2 1 0 4 2 0 4 3 2 1 4 2 1 0 4 3 1 4 3 2 1 0 2 2 1 0 4 3 0 4 3 2 1 0 2 1 0 4 3 2 4 3 2 1 0 4 1 0 4 3 2 1 2 3 2 1 0 4 0 0 4 3 2 1 2 2 1 0 4 3 4 4 3 2 1 0 1 1 0 4 3 2 3 4 0 1 2 3 3 2 3 4 0 1 1 0 1 2 3 4 4 3 4 0 1 2 2 1 2 3 4 0 3 0 1 2 3 4 3 3 4 0 1 2 1 1 2 3 4 0 4 4 0 1 2 3 2 2 3 4 0 1 3 1 2 3 4 0 3 4 0 1 2 3 1 2 3 4 0 1 4 0 1 2 3 4 2 3 4 0 1 2 3 2 3 4 0 1 3 0 1 2 3 4 1 3 4 0 1 2 4 1 2 3 4 0 2 4 0 1 2 3 3 3 4 0 1 2 3 1 2 3 4 0 1 4 0 1 2 3 4 2 3 4 0 1 2 0 1 2 3 4 3 4 1 3 0 2 4 2 4 1 3 0 2 0 2 4 1 3 0 3 0 2 4 1 3 1 3 0 2 4 3 0 2 4 1 3 4 3 0 2 4 1 2 1 3 0 2 4 0 4 1 3 0 2 3 2 4 1 3 0 3 1 3 0 2 4 4 4 1 3 0 2 2 2 4 1 3 0 0 0 2 4 1 3 3 3 0 2 4 1 3 2 4 1 3 0 4 0 2 4 1 3 2 3 0 2 4 1 0 1 3 0 2 4 3 4 1 3 0 2 3 3 0 2 4 1 4 1 3 0 2 4 2 4 1 3 0 2 0 2 4 1 3 0 3 0 2 4 1 3 3 4 2 0 3 1 0 2 0 3 1 4 3 0 3 1 4 2 1 3 1 4 2 0 4 1 4 2 0 3 3 0 3 1 4 2 0 3 1 4 2 0 3 1 4 2 0 3 1 4 2 0 3 1 4 2 0 3 1 4 3 1 4 2 0 3 0 4 2 0 3 1 3 2 0 3 1 4 1 0 3 1 4 2 4 3 1 4 2 0 3 2 0 3 1 4 0 0 3 1 4 2 3 3 1 4 2 0 1 1 4 2 0 3 4 4 2 0 3 1 3 3 1 4 2 0 0 1 4 2 0 3 3 4 2 0 3 1 1 2 0 3 1 4 4 0 3 1 4 2 3 4 3 2 1 0 1 2 1 0 4 3 4 0 4 3 2 1 2 3 2 1 0 4 0 1 0 4 3 2 3 0 4 3 2 1 1 3 2 1 0 4 4 1 0 4 3 2 2 4 3 2 1 0 0 2 1 0 4 3 3 1 0 4 3 2 1 4 3 2 1 0 4 2 1 0 4 3 2 0 4 3 2 1 0 3 2 1 0 4 3 2 1 0 4 3 1 0 4 3 2 1 4 3 2 1 0 4 2 1 0 4 3 2 0 4 3 2 1 0 3 3 2 1 0 4 1 1 0 4 3 2 4 4 3 2 1 0 2 2 1 0 4 3 0 0 4 3 2 1 4 1 1 1 1 1 0 0 0 0 0 0 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 4 2 2 2 2 2 0 1 1 1 1 1 4 0 0 0 0 0 3 4 4 4 4 4 2 3 3 3 3 3 4 3 3 3 3 3 0 2 2 2 2 2 4 1 1 1 1 1 3 0 0 0 0 0 2 4 4 4 4 4 4 4 4 4 4 4 0 3 3 3 3 3 4 2 2 2 2 2 3 1 1 1 1 1 2 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 4 1 2 3 4 0 1 0 1 2 3 4 0 4 0 1 2 3 4 3 4 0 1 2 3 2 3 4 0 1 4 2 3 4 0 1 1 1 2 3 4 0 0 0 1 2 3 4 4 4 0 1 2 3 3 3 4 0 1 2 4 3 4 0 1 2 1 2 3 4 0 1 0 1 2 3 4 0 4 0 1 2 3 4 3 4 0 1 2 3 4 4 0 1 2 3 1 3 4 0 1 2 0 2 3 4 0 1 4 1 2 3 4 0 3 0 1 2 3 4 4 0 1 2 3 4 1 4 0 1 2 3 0 3 4 0 1 2 4 2 3 4 0 1 3 1 2 3 4 0 4 1 3 0 2 4 2 0 2 4 1 3 1 4 1 3 0 2 0 3 0 2 4 1 4 2 4 1 3 0 4 2 4 1 3 0 2 1 3 0 2 4 1 0 2 4 1 3 0 4 1 3 0 2 4 3 0 2 4 1 4 3 0 2 4 1 2 2 4 1 3 0 1 1 3 0 2 4 0 0 2 4 1 3 4 4 1 3 0 2 4 4 1 3 0 2 2 3 0 2 4 1 1 2 4 1 3 0 0 1 3 0 2 4 4 0 2 4 1 3 4 0 2 4 1 3 2 4 1 3 0 2 1 3 0 2 4 1 0 2 4 1 3 0 4 1 3 0 2 4 4 1 0 4 3 2 4 0 4 3 2 1 3 4 3 2 1 0 2 3 2 1 0 4 1 2 1 0 4 3 4 2 1 0 4 3 4 1 0 4 3 2 3 0 4 3 2 1 2 4 3 2 1 0 1 3 2 1 0 4 4 3 2 1 0 4 4 2 1 0 4 3 3 1 0 4 3 2 2 0 4 3 2 1 1 4 3 2 1 0 4 4 3 2 1 0 4 3 2 1 0 4 3 2 1 0 4 3 2 1 0 4 3 2 1 0 4 3 2 1 4 0 4 3 2 1 4 4 3 2 1 0 3 3 2 1 0 4 2 2 1 0 4 3 1 1 0 4 3 2 Note: The overall A2 value is 15; the possible projected A2 values are 0, 1/20 and 1/4 with frequencies 175, 250 and 10.