SSD(54, 3^39) via Theorem 8 (n=4, s=3, k=2) 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 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 1 0 1 2 1 0 1 2 1 0 1 2 0 1 0 1 2 1 0 1 2 1 0 1 2 0 1 0 1 2 1 0 1 2 1 0 1 2 0 1 1 2 0 1 1 2 0 1 1 2 0 0 1 1 2 0 1 1 2 0 1 1 2 0 0 1 1 2 0 1 1 2 0 1 1 2 0 0 1 2 0 1 1 2 0 1 1 2 0 1 0 1 2 0 1 1 2 0 1 1 2 0 1 0 1 2 0 1 1 2 0 1 1 2 0 1 0 2 0 2 1 2 0 2 1 2 0 2 1 0 2 0 2 1 2 0 2 1 2 0 2 1 0 2 0 2 1 2 0 2 1 2 0 2 1 0 2 1 0 2 2 1 0 2 2 1 0 2 0 2 1 0 2 2 1 0 2 2 1 0 2 0 2 1 0 2 2 1 0 2 2 1 0 2 0 2 2 1 0 2 2 1 0 2 2 1 0 0 2 2 1 0 2 2 1 0 2 2 1 0 0 2 2 1 0 2 2 1 0 2 2 1 0 1 0 0 0 0 1 1 1 1 2 2 2 2 1 0 0 0 0 1 1 1 1 2 2 2 2 1 0 0 0 0 1 1 1 1 2 2 2 2 1 0 1 1 1 1 2 2 2 2 0 0 0 1 0 1 1 1 1 2 2 2 2 0 0 0 1 0 1 1 1 1 2 2 2 2 0 0 0 1 0 2 2 2 1 0 0 0 2 1 1 1 1 0 2 2 2 1 0 0 0 2 1 1 1 1 0 2 2 2 1 0 0 0 2 1 1 1 1 1 0 1 2 2 1 2 0 0 2 0 1 1 1 0 1 2 2 1 2 0 0 2 0 1 1 1 0 1 2 2 1 2 0 0 2 0 1 1 1 1 2 0 2 2 0 1 0 0 1 2 1 1 1 2 0 2 2 0 1 0 0 1 2 1 1 1 2 0 2 2 0 1 0 0 1 2 1 1 2 0 1 2 0 1 2 0 1 2 0 1 1 2 0 1 2 0 1 2 0 1 2 0 1 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 2 1 0 1 0 2 1 2 1 0 1 2 0 2 1 0 1 0 2 1 2 1 0 1 2 0 2 1 0 1 0 2 1 2 1 0 1 2 1 0 2 0 2 1 0 1 0 2 1 1 2 1 0 2 0 2 1 0 1 0 2 1 1 2 1 0 2 0 2 1 0 1 0 2 1 1 2 2 1 0 0 0 2 1 1 1 0 2 1 2 2 1 0 0 0 2 1 1 1 0 2 1 2 2 1 0 0 0 2 1 1 1 0 2 2 0 0 0 0 2 2 2 2 1 1 1 1 2 0 0 0 0 2 2 2 2 1 1 1 1 2 0 0 0 0 2 2 2 2 1 1 1 1 2 0 1 1 1 2 0 0 0 1 2 2 2 2 0 1 1 1 2 0 0 0 1 2 2 2 2 0 1 1 1 2 0 0 0 1 2 2 2 2 0 2 2 2 2 1 1 1 1 0 0 0 2 0 2 2 2 2 1 1 1 1 0 0 0 2 0 2 2 2 2 1 1 1 1 0 0 0 2 1 0 1 2 0 2 0 1 2 1 2 0 2 1 0 1 2 0 2 0 1 2 1 2 0 2 1 0 1 2 0 2 0 1 2 1 2 0 2 1 1 2 0 0 0 1 2 2 2 0 1 2 1 1 2 0 0 0 1 2 2 2 0 1 2 1 1 2 0 0 0 1 2 2 2 0 1 2 1 2 0 1 0 1 2 0 2 0 1 2 2 1 2 0 1 0 1 2 0 2 0 1 2 2 1 2 0 1 0 1 2 0 2 0 1 2 2 2 0 2 1 1 2 1 0 0 1 0 2 2 2 0 2 1 1 2 1 0 0 1 0 2 2 2 0 2 1 1 2 1 0 0 1 0 2 2 2 1 0 2 1 0 2 1 0 2 1 0 2 2 1 0 2 1 0 2 1 0 2 1 0 2 2 1 0 2 1 0 2 1 0 2 1 0 2 2 2 1 0 1 1 0 2 0 0 2 1 2 2 2 1 0 1 1 0 2 0 0 2 1 2 2 2 1 0 1 1 0 2 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 2 2 2 1 2 2 2 1 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 2 2 1 1 0 0 0 1 0 0 0 1 0 0 0 2 2 1 1 1 2 1 1 1 2 1 1 1 0 1 0 1 2 1 0 1 2 1 0 1 2 1 2 1 2 0 2 1 2 0 2 1 2 0 2 0 2 0 1 0 2 0 1 0 2 0 1 0 1 1 2 0 1 1 2 0 1 1 2 0 1 2 2 0 1 2 2 0 1 2 2 0 1 2 0 0 1 2 0 0 1 2 0 0 1 2 0 1 2 0 1 1 2 0 1 1 2 0 1 1 2 0 1 2 2 0 1 2 2 0 1 2 2 0 1 2 0 0 1 2 0 0 1 2 0 0 2 0 2 1 2 0 2 1 2 0 2 1 1 0 1 0 2 0 1 0 2 0 1 0 2 2 1 2 1 0 1 2 1 0 1 2 1 0 0 2 1 0 2 2 1 0 2 2 1 0 2 1 0 2 1 0 0 2 1 0 0 2 1 0 2 1 0 2 1 1 0 2 1 1 0 2 1 0 2 2 1 0 2 2 1 0 2 2 1 0 1 0 0 2 1 0 0 2 1 0 0 2 1 2 1 1 0 2 1 1 0 2 1 1 0 2 1 0 0 0 0 1 1 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 1 1 1 1 1 0 1 1 1 1 2 2 2 2 0 0 0 2 1 2 2 2 2 0 0 0 0 1 1 1 0 2 0 0 0 0 1 1 1 1 2 2 2 1 0 2 2 2 1 0 0 0 2 1 1 1 2 1 0 0 0 2 1 1 1 0 2 2 2 0 2 1 1 1 0 2 2 2 1 0 0 0 1 1 0 1 2 2 1 2 0 0 2 0 1 2 2 1 2 0 0 2 0 1 1 0 1 2 0 0 2 0 1 1 0 1 2 2 1 2 0 1 1 1 2 0 2 2 0 1 0 0 1 2 2 2 2 0 1 0 0 1 2 1 1 2 0 0 0 0 1 2 1 1 2 0 2 2 0 1 1 1 2 0 1 2 0 1 2 0 1 2 0 2 2 0 1 2 0 1 2 0 1 2 0 1 0 0 1 2 0 1 2 0 1 2 0 1 2 1 2 0 2 1 0 1 0 2 1 2 1 0 2 0 1 0 2 1 2 1 0 2 0 2 1 0 1 2 1 0 2 0 2 1 0 1 0 2 1 2 1 0 2 0 2 1 0 1 0 2 1 2 0 2 1 0 1 0 2 1 2 1 0 2 0 1 0 2 1 2 1 0 2 0 2 1 0 1 2 2 1 0 0 0 2 1 1 1 0 2 2 0 0 2 1 1 1 0 2 2 2 1 0 0 1 1 0 2 2 2 1 0 0 0 2 1 2 0 0 0 0 2 2 2 2 1 1 1 1 0 1 1 1 1 0 0 0 0 2 2 2 2 1 2 2 2 2 1 1 1 1 0 0 0 0 2 0 1 1 1 2 0 0 0 1 2 2 2 0 1 2 2 2 0 1 1 1 2 0 0 0 1 2 0 0 0 1 2 2 2 0 1 1 1 2 0 2 2 2 2 1 1 1 1 0 0 0 0 1 0 0 0 0 2 2 2 2 1 1 1 1 2 1 1 1 1 0 0 0 0 2 2 2 2 1 0 1 2 0 2 0 1 2 1 2 0 0 2 1 2 0 1 0 1 2 0 2 0 1 1 0 2 0 1 2 1 2 0 1 0 1 2 2 1 1 2 0 0 0 1 2 2 2 0 1 0 2 2 0 1 1 1 2 0 0 0 1 2 1 0 0 1 2 2 2 0 1 1 1 2 0 2 1 2 0 1 0 1 2 0 2 0 1 2 0 2 0 1 2 1 2 0 1 0 1 2 0 1 0 1 2 0 2 0 1 2 1 2 0 1 2 2 0 2 1 1 2 1 0 0 1 0 2 0 0 1 0 2 2 0 2 1 1 2 1 0 1 1 2 1 0 0 1 0 2 2 0 2 1 2 2 1 0 2 1 0 2 1 0 2 1 0 0 0 2 1 0 2 1 0 2 1 0 2 1 1 1 0 2 1 0 2 1 0 2 1 0 2 2 2 2 1 0 1 1 0 2 0 0 2 1 0 0 0 2 1 2 2 1 0 1 1 0 2 1 1 1 0 2 0 0 2 1 2 2 1 0 Note: The overall A2 value is 19.5. The possible projected A2 values are 0 and 1/2 with frequencies 702 and 39.