SSD(64, 4^41) via Theorem 4 (n=3, s=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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 3 3 3 3 0 3 3 3 3 0 3 3 3 3 0 3 3 3 3 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 1 0 1 2 3 1 0 1 2 3 1 0 1 2 3 1 0 1 2 3 1 1 1 1 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 1 0 3 2 1 1 0 3 2 1 1 0 3 2 1 1 0 3 2 1 1 1 1 1 0 3 2 1 0 3 2 1 0 3 2 1 0 3 2 0 1 2 3 0 1 1 2 3 0 1 1 2 3 0 1 1 2 3 0 1 1 1 1 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 0 1 3 2 1 0 1 3 2 1 0 1 3 2 1 0 1 3 2 1 0 1 1 1 1 3 2 1 0 3 2 1 0 3 2 1 0 3 2 1 0 0 2 0 2 3 1 2 0 2 3 1 2 0 2 3 1 2 0 2 3 1 2 2 2 2 0 2 3 1 0 2 3 1 0 2 3 1 0 2 3 1 0 2 1 3 2 0 2 1 3 2 0 2 1 3 2 0 2 1 3 2 0 2 2 2 2 1 3 2 0 1 3 2 0 1 3 2 0 1 3 2 0 0 2 2 0 1 3 2 2 0 1 3 2 2 0 1 3 2 2 0 1 3 2 2 2 2 2 0 1 3 2 0 1 3 2 0 1 3 2 0 1 3 0 2 3 1 0 2 2 3 1 0 2 2 3 1 0 2 2 3 1 0 2 2 2 2 2 3 1 0 2 3 1 0 2 3 1 0 2 3 1 0 2 0 3 0 3 1 2 3 0 3 1 2 3 0 3 1 2 3 0 3 1 2 3 3 3 3 0 3 1 2 0 3 1 2 0 3 1 2 0 3 1 2 0 3 1 2 0 3 3 1 2 0 3 3 1 2 0 3 3 1 2 0 3 3 3 3 3 1 2 0 3 1 2 0 3 1 2 0 3 1 2 0 3 0 3 2 1 3 0 3 2 1 3 0 3 2 1 3 0 3 2 1 3 0 3 3 3 3 2 1 3 0 2 1 3 0 2 1 3 0 2 1 3 0 0 3 3 0 2 1 3 3 0 2 1 3 3 0 2 1 3 3 0 2 1 3 3 3 3 3 0 2 1 3 0 2 1 3 0 2 1 3 0 2 1 1 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 1 0 3 2 1 1 1 1 0 0 0 0 3 3 3 3 2 2 2 2 1 0 1 1 1 1 1 0 0 0 0 2 3 3 3 3 3 2 2 2 2 1 0 3 2 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 1 0 2 2 2 2 1 3 3 3 3 2 0 0 0 0 3 1 1 1 1 1 0 3 2 3 3 3 3 2 2 2 2 1 1 1 1 0 0 0 0 1 0 3 3 3 3 1 2 2 2 2 2 1 1 1 1 3 0 0 0 0 1 0 3 2 2 2 2 2 3 3 3 3 0 0 0 0 1 1 1 1 1 1 0 1 2 3 0 1 0 3 2 3 2 3 0 1 2 3 2 1 0 0 1 2 3 1 0 3 2 0 1 2 3 3 2 1 0 2 3 0 1 1 1 1 0 3 2 0 0 1 2 3 3 3 2 1 0 2 2 3 0 1 0 1 2 3 0 1 2 3 1 0 3 2 2 3 0 1 3 2 1 0 1 1 2 3 0 1 0 3 2 1 0 3 0 1 2 3 2 1 0 3 2 0 1 2 3 3 2 1 0 2 3 0 1 1 0 3 2 0 1 2 3 1 1 3 2 1 0 0 2 3 0 1 3 1 0 3 2 2 0 1 2 3 0 1 2 3 2 3 0 1 3 2 1 0 0 1 2 3 1 0 3 2 1 2 0 2 3 1 3 1 3 2 0 0 2 0 1 3 1 3 1 0 2 3 2 1 0 1 3 2 0 0 2 3 1 3 1 0 2 2 0 1 3 1 2 1 3 2 0 3 0 2 3 1 0 3 1 0 2 1 2 0 1 3 3 2 1 0 0 2 3 1 1 3 2 0 2 0 1 3 3 1 0 2 1 2 2 0 1 3 3 3 1 0 2 0 0 2 3 1 1 1 3 2 0 3 2 1 0 3 1 0 2 2 0 1 3 1 3 2 0 0 2 3 1 1 2 3 1 0 2 3 2 0 1 3 0 1 3 2 0 1 0 2 3 1 3 2 1 0 2 0 1 3 3 1 0 2 0 2 3 1 1 3 2 0 1 3 0 3 1 2 2 1 2 0 3 1 2 1 3 0 0 3 0 2 1 2 3 0 1 1 2 0 3 0 3 1 2 3 0 2 1 2 1 3 0 1 3 1 2 0 3 2 0 3 1 2 1 3 0 2 1 0 2 1 3 0 2 3 0 1 0 3 1 2 1 2 0 3 2 1 3 0 3 0 2 1 1 3 2 1 3 0 2 3 0 2 1 1 0 3 1 2 0 1 2 0 3 2 3 0 1 3 0 2 1 2 1 3 0 1 2 0 3 0 3 1 2 1 3 3 0 2 1 2 2 1 3 0 1 1 2 0 3 0 0 3 1 2 2 3 0 1 2 1 3 0 3 0 2 1 0 3 1 2 1 2 0 3 2 0 0 0 0 0 2 2 2 2 2 3 3 3 3 3 1 1 1 1 1 3 1 0 2 3 3 3 3 1 1 1 1 0 0 0 0 2 2 2 2 2 0 1 1 1 1 2 3 3 3 3 3 2 2 2 2 1 0 0 0 0 3 1 0 2 2 2 2 2 0 0 0 0 1 1 1 1 3 3 3 3 2 0 2 2 2 2 2 0 0 0 0 3 1 1 1 1 1 3 3 3 3 3 1 0 2 1 1 1 1 3 3 3 3 2 2 2 2 0 0 0 0 2 0 3 3 3 3 2 1 1 1 1 3 0 0 0 0 1 2 2 2 2 3 1 0 2 0 0 0 0 2 2 2 2 3 3 3 3 1 1 1 1 2 1 0 1 2 3 3 2 3 0 1 2 3 2 1 0 0 1 0 3 2 2 0 1 3 3 2 1 0 1 0 3 2 0 1 2 3 2 3 0 1 2 1 1 0 3 2 3 3 2 1 0 2 2 3 0 1 0 0 1 2 3 2 0 1 3 2 3 0 1 0 1 2 3 1 0 3 2 3 2 1 0 2 1 2 3 0 1 3 0 1 2 3 2 1 0 3 2 0 3 2 1 0 2 0 1 3 1 0 3 2 3 2 1 0 2 3 0 1 0 1 2 3 2 1 3 2 1 0 3 1 0 3 2 2 0 1 2 3 0 2 3 0 1 2 0 1 3 0 1 2 3 2 3 0 1 3 2 1 0 1 0 3 2 2 2 0 2 3 1 0 2 0 1 3 1 3 1 0 2 3 1 3 2 0 1 3 2 0 3 1 0 2 1 3 2 0 0 2 3 1 2 0 1 3 2 2 1 3 2 0 0 3 1 0 2 1 2 0 1 3 3 0 2 3 1 1 3 2 0 2 0 1 3 0 2 3 1 1 3 2 0 3 1 0 2 2 2 2 0 1 3 0 0 2 3 1 1 1 3 2 0 3 3 1 0 2 1 3 2 0 1 3 2 0 3 1 0 2 2 0 1 3 0 2 3 1 2 2 3 1 0 2 0 1 3 2 0 1 0 2 3 1 3 2 0 1 3 1 3 2 0 0 2 3 1 2 0 1 3 3 1 0 2 1 3 2 0 2 3 0 3 1 2 1 2 1 3 0 0 3 0 2 1 2 1 2 0 3 0 2 3 1 3 0 2 1 1 2 0 3 0 3 1 2 2 1 3 0 2 3 1 2 0 3 1 3 0 2 1 0 2 1 3 0 2 0 3 1 2 0 2 3 1 2 1 3 0 0 3 1 2 1 2 0 3 3 0 2 1 2 3 2 1 3 0 1 0 3 1 2 0 1 2 0 3 2 3 0 2 1 0 2 3 1 1 2 0 3 3 0 2 1 2 1 3 0 0 3 1 2 2 3 3 0 2 1 1 1 2 0 3 0 0 3 1 2 2 2 1 3 0 0 2 3 1 0 3 1 2 2 1 3 0 3 0 2 1 1 2 0 3 3 0 0 0 0 0 3 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 1 3 0 2 2 2 2 1 1 1 1 3 3 3 3 0 0 0 0 3 0 1 1 1 1 3 2 2 2 2 1 0 0 0 0 2 3 3 3 3 2 1 3 0 3 3 3 3 0 0 0 0 2 2 2 2 1 1 1 1 3 0 2 2 2 2 3 1 1 1 1 1 3 3 3 3 2 0 0 0 0 2 1 3 0 0 0 0 0 3 3 3 3 1 1 1 1 2 2 2 2 3 0 3 3 3 3 3 0 0 0 0 1 2 2 2 2 2 1 1 1 1 2 1 3 0 1 1 1 1 2 2 2 2 0 0 0 0 3 3 3 3 3 1 0 1 2 3 2 3 2 1 0 0 1 0 3 2 3 2 3 0 1 3 0 2 1 2 3 0 1 1 0 3 2 3 2 1 0 0 1 2 3 3 1 1 0 3 2 2 2 3 0 1 0 0 1 2 3 3 3 2 1 0 3 0 2 1 3 2 1 0 0 1 2 3 2 3 0 1 1 0 3 2 3 1 2 3 0 1 2 1 0 3 2 0 3 2 1 0 3 0 1 2 3 3 0 2 1 0 1 2 3 3 2 1 0 1 0 3 2 2 3 0 1 3 1 3 2 1 0 2 0 1 2 3 0 2 3 0 1 3 1 0 3 2 3 0 2 1 1 0 3 2 2 3 0 1 0 1 2 3 3 2 1 0 3 2 0 2 3 1 1 3 1 0 2 3 1 3 2 0 0 2 0 1 3 0 3 1 2 2 0 1 3 1 3 2 0 3 1 0 2 0 2 3 1 3 2 1 3 2 0 1 2 0 1 3 3 0 2 3 1 0 3 1 0 2 0 3 1 2 3 1 0 2 0 2 3 1 2 0 1 3 1 3 2 0 3 2 2 0 1 3 1 1 3 2 0 3 3 1 0 2 0 0 2 3 1 0 3 1 2 0 2 3 1 3 1 0 2 1 3 2 0 2 0 1 3 3 2 3 1 0 2 1 0 2 3 1 3 2 0 1 3 0 1 3 2 0 0 3 1 2 1 3 2 0 2 0 1 3 0 2 3 1 3 1 0 2 3 3 0 3 1 2 0 3 0 2 1 2 1 2 0 3 1 2 1 3 0 1 2 0 3 2 1 3 0 1 2 0 3 3 0 2 1 0 3 1 2 3 3 1 2 0 3 0 2 1 3 0 2 0 3 1 2 1 3 0 2 1 1 2 0 3 3 0 2 1 0 3 1 2 2 1 3 0 1 2 0 3 3 3 2 1 3 0 0 1 2 0 3 2 3 0 2 1 1 0 3 1 2 1 2 0 3 0 3 1 2 3 0 2 1 1 2 0 3 2 1 3 0 3 3 3 0 2 1 0 0 3 1 2 2 2 1 3 0 1 1 2 0 3 1 2 0 3 1 2 0 3 2 1 3 0 0 3 1 2 3 0 2 1 Note: The overall A2 value is 60; the possible projected A2 values are 0 and 1 with frequencies 760 and 60. The first column is orthogonal to all other columns.