SSD(32, 4^20) and SSD(48, 4^20) via Theorem 8 (n=3, s=4, k=2,3) 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 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 3 3 3 3 0 3 3 3 3 0 3 3 3 3 0 3 3 3 3 1 0 1 2 3 1 0 1 2 3 1 0 1 2 3 1 0 1 2 3 1 1 0 3 2 1 1 0 3 2 1 1 0 3 2 1 1 0 3 2 1 2 3 0 1 1 2 3 0 1 1 2 3 0 1 1 2 3 0 1 1 3 2 1 0 1 3 2 1 0 1 3 2 1 0 1 3 2 1 0 2 0 2 3 1 2 0 2 3 1 2 0 2 3 1 2 0 2 3 1 2 1 3 2 0 2 1 3 2 0 2 1 3 2 0 2 1 3 2 0 2 2 0 1 3 2 2 0 1 3 2 2 0 1 3 2 2 0 1 3 2 3 1 0 2 2 3 1 0 2 2 3 1 0 2 2 3 1 0 2 3 0 3 1 2 3 0 3 1 2 3 0 3 1 2 3 0 3 1 2 3 1 2 0 3 3 1 2 0 3 3 1 2 0 3 3 1 2 0 3 3 2 1 3 0 3 2 1 3 0 3 2 1 3 0 3 2 1 3 0 3 3 0 2 1 3 3 0 2 1 3 3 0 2 1 3 3 0 2 1 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 0 1 1 1 1 1 0 0 0 0 2 3 3 3 3 3 2 2 2 2 0 2 2 2 2 1 3 3 3 3 2 0 0 0 0 3 1 1 1 1 0 3 3 3 3 1 2 2 2 2 2 1 1 1 1 3 0 0 0 0 1 0 1 2 3 0 1 0 3 2 3 2 3 0 1 2 3 2 1 0 1 1 0 3 2 0 0 1 2 3 3 3 2 1 0 2 2 3 0 1 1 2 3 0 1 0 3 2 1 0 3 0 1 2 3 2 1 0 3 2 1 3 2 1 0 0 2 3 0 1 3 1 0 3 2 2 0 1 2 3 2 0 2 3 1 3 1 3 2 0 0 2 0 1 3 1 3 1 0 2 2 1 3 2 0 3 0 2 3 1 0 3 1 0 2 1 2 0 1 3 2 2 0 1 3 3 3 1 0 2 0 0 2 3 1 1 1 3 2 0 2 3 1 0 2 3 2 0 1 3 0 1 3 2 0 1 0 2 3 1 3 0 3 1 2 2 1 2 0 3 1 2 1 3 0 0 3 0 2 1 3 1 2 0 3 2 0 3 1 2 1 3 0 2 1 0 2 1 3 0 3 2 1 3 0 2 3 0 2 1 1 0 3 1 2 0 1 2 0 3 3 3 0 2 1 2 2 1 3 0 1 1 2 0 3 0 0 3 1 2 0 0 0 0 0 2 2 2 2 2 3 3 3 3 3 1 1 1 1 1 0 1 1 1 1 2 3 3 3 3 3 2 2 2 2 1 0 0 0 0 0 2 2 2 2 2 0 0 0 0 3 1 1 1 1 1 3 3 3 3 0 3 3 3 3 2 1 1 1 1 3 0 0 0 0 1 2 2 2 2 1 0 1 2 3 3 2 3 0 1 2 3 2 1 0 0 1 0 3 2 1 1 0 3 2 3 3 2 1 0 2 2 3 0 1 0 0 1 2 3 1 2 3 0 1 3 0 1 2 3 2 1 0 3 2 0 3 2 1 0 1 3 2 1 0 3 1 0 3 2 2 0 1 2 3 0 2 3 0 1 2 0 2 3 1 0 2 0 1 3 1 3 1 0 2 3 1 3 2 0 2 1 3 2 0 0 3 1 0 2 1 2 0 1 3 3 0 2 3 1 2 2 0 1 3 0 0 2 3 1 1 1 3 2 0 3 3 1 0 2 2 3 1 0 2 0 1 3 2 0 1 0 2 3 1 3 2 0 1 3 3 0 3 1 2 1 2 1 3 0 0 3 0 2 1 2 1 2 0 3 3 1 2 0 3 1 3 0 2 1 0 2 1 3 0 2 0 3 1 2 3 2 1 3 0 1 0 3 1 2 0 1 2 0 3 2 3 0 2 1 3 3 0 2 1 1 1 2 0 3 0 0 3 1 2 2 2 1 3 0 Notes: (i) The first 32 rows form an SSD(32, 4^20) with overall A2=30; the possible projected A2 values are 0 and 1 with frequencies 160 and 30. (ii) All rows form an SSD(48, 4^20) with overall A2=10; the possible projected A2 values are 0 and 1/3 with frequencies 160 and 30.