SSD(50, 5^30), SSD(75, 5^30) and SSD(100, 5^30) via Theorem 8 (n=3, s=5, k=2,3,4) 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 1 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 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 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 1 1 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 1 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 2 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 2 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 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 2 4 1 3 0 2 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 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 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 3 0 3 1 4 2 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 3 3 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 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 3 1 4 2 0 3 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 4 0 4 3 2 1 4 0 4 3 2 1 4 0 4 3 2 1 4 0 4 3 2 1 4 0 4 3 2 1 4 1 0 4 3 2 4 1 0 4 3 2 4 1 0 4 3 2 4 1 0 4 3 2 4 1 0 4 3 2 4 2 1 0 4 3 4 2 1 0 4 3 4 2 1 0 4 3 4 2 1 0 4 3 4 2 1 0 4 3 4 3 2 1 0 4 4 3 2 1 0 4 4 3 2 1 0 4 4 3 2 1 0 4 4 3 2 1 0 4 4 4 3 2 1 0 4 4 3 2 1 0 4 4 3 2 1 0 4 4 3 2 1 0 4 4 3 2 1 0 0 0 0 0 0 0 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 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 2 2 2 2 2 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 3 3 3 3 3 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 4 4 4 4 4 1 0 0 0 0 0 2 1 1 1 1 1 3 2 2 2 2 2 4 3 3 3 3 3 1 0 1 2 3 4 2 1 2 3 4 0 3 2 3 4 0 1 4 3 4 0 1 2 0 4 0 1 2 3 1 1 2 3 4 0 2 2 3 4 0 1 3 3 4 0 1 2 4 4 0 1 2 3 0 0 1 2 3 4 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 2 3 4 0 1 3 4 0 1 2 2 4 0 1 2 3 3 0 1 2 3 4 4 1 2 3 4 0 0 2 3 4 0 1 1 4 0 1 2 3 2 0 1 2 3 4 3 1 2 3 4 0 4 2 3 4 0 1 0 3 4 0 1 2 2 0 2 4 1 3 3 1 3 0 2 4 4 2 4 1 3 0 0 3 0 2 4 1 1 4 1 3 0 2 2 1 3 0 2 4 3 2 4 1 3 0 4 3 0 2 4 1 0 4 1 3 0 2 1 0 2 4 1 3 2 2 4 1 3 0 3 3 0 2 4 1 4 4 1 3 0 2 0 0 2 4 1 3 1 1 3 0 2 4 2 3 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 4 1 3 0 2 3 0 2 4 1 3 4 1 3 0 2 4 0 2 4 1 3 0 1 3 0 2 4 1 3 0 3 1 4 2 4 1 4 2 0 3 0 2 0 3 1 4 1 3 1 4 2 0 2 4 2 0 3 1 3 1 4 2 0 3 4 2 0 3 1 4 0 3 1 4 2 0 1 4 2 0 3 1 2 0 3 1 4 2 3 2 0 3 1 4 4 3 1 4 2 0 0 4 2 0 3 1 1 0 3 1 4 2 2 1 4 2 0 3 3 3 1 4 2 0 4 4 2 0 3 1 0 0 3 1 4 2 1 1 4 2 0 3 2 2 0 3 1 4 3 4 2 0 3 1 4 0 3 1 4 2 0 1 4 2 0 3 1 2 0 3 1 4 2 3 1 4 2 0 4 0 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 0 2 1 0 4 3 1 3 2 1 0 4 2 4 3 2 1 0 3 0 4 3 2 1 4 2 1 0 4 3 0 3 2 1 0 4 1 4 3 2 1 0 2 0 4 3 2 1 3 1 0 4 3 2 4 3 2 1 0 4 0 4 3 2 1 0 1 0 4 3 2 1 2 1 0 4 3 2 3 2 1 0 4 3 4 4 3 2 1 0 0 0 4 3 2 1 1 1 0 4 3 2 2 2 1 0 4 3 3 3 2 1 0 4 0 0 0 0 0 0 2 2 2 2 2 2 4 4 4 4 4 4 1 1 1 1 1 1 3 3 3 3 3 3 0 1 1 1 1 1 2 3 3 3 3 3 4 0 0 0 0 0 1 2 2 2 2 2 3 4 4 4 4 4 0 2 2 2 2 2 2 4 4 4 4 4 4 1 1 1 1 1 1 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 2 0 0 0 0 0 4 2 2 2 2 2 1 4 4 4 4 4 3 1 1 1 1 1 0 4 4 4 4 4 2 1 1 1 1 1 4 3 3 3 3 3 1 0 0 0 0 0 3 2 2 2 2 2 1 0 1 2 3 4 3 2 3 4 0 1 0 4 0 1 2 3 2 1 2 3 4 0 4 3 4 0 1 2 1 1 2 3 4 0 3 3 4 0 1 2 0 0 1 2 3 4 2 2 3 4 0 1 4 4 0 1 2 3 1 2 3 4 0 1 3 4 0 1 2 3 0 1 2 3 4 0 2 3 4 0 1 2 4 0 1 2 3 4 1 3 4 0 1 2 3 0 1 2 3 4 0 2 3 4 0 1 2 4 0 1 2 3 4 1 2 3 4 0 1 4 0 1 2 3 3 1 2 3 4 0 0 3 4 0 1 2 2 0 1 2 3 4 4 2 3 4 0 1 2 0 2 4 1 3 4 2 4 1 3 0 1 4 1 3 0 2 3 1 3 0 2 4 0 3 0 2 4 1 2 1 3 0 2 4 4 3 0 2 4 1 1 0 2 4 1 3 3 2 4 1 3 0 0 4 1 3 0 2 2 2 4 1 3 0 4 4 1 3 0 2 1 1 3 0 2 4 3 3 0 2 4 1 0 0 2 4 1 3 2 3 0 2 4 1 4 0 2 4 1 3 1 2 4 1 3 0 3 4 1 3 0 2 0 1 3 0 2 4 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 1 3 0 3 0 3 1 4 2 0 2 0 3 1 4 2 4 2 0 3 1 4 1 4 2 0 3 1 3 1 4 2 0 3 1 4 2 0 3 0 3 1 4 2 0 2 0 3 1 4 2 4 2 0 3 1 4 1 4 2 0 3 1 3 2 0 3 1 4 0 4 2 0 3 1 2 1 4 2 0 3 4 3 1 4 2 0 1 0 3 1 4 2 3 3 1 4 2 0 0 0 3 1 4 2 2 2 0 3 1 4 4 4 2 0 3 1 1 1 4 2 0 3 3 4 2 0 3 1 0 1 4 2 0 3 2 3 1 4 2 0 4 0 3 1 4 2 1 2 0 3 1 4 4 0 4 3 2 1 1 2 1 0 4 3 3 4 3 2 1 0 0 1 0 4 3 2 2 3 2 1 0 4 4 1 0 4 3 2 1 3 2 1 0 4 3 0 4 3 2 1 0 2 1 0 4 3 2 4 3 2 1 0 4 2 1 0 4 3 1 4 3 2 1 0 3 1 0 4 3 2 0 3 2 1 0 4 2 0 4 3 2 1 4 3 2 1 0 4 1 0 4 3 2 1 3 2 1 0 4 3 0 4 3 2 1 0 2 1 0 4 3 2 4 4 3 2 1 0 1 1 0 4 3 2 3 3 2 1 0 4 0 0 4 3 2 1 2 2 1 0 4 3 0 0 0 0 0 0 3 3 3 3 3 3 1 1 1 1 1 1 4 4 4 4 4 4 2 2 2 2 2 2 0 1 1 1 1 1 3 4 4 4 4 4 1 2 2 2 2 2 4 0 0 0 0 0 2 3 3 3 3 3 0 2 2 2 2 2 3 0 0 0 0 0 1 3 3 3 3 3 4 1 1 1 1 1 2 4 4 4 4 4 0 3 3 3 3 3 3 1 1 1 1 1 1 4 4 4 4 4 4 2 2 2 2 2 2 0 0 0 0 0 0 4 4 4 4 4 3 2 2 2 2 2 1 0 0 0 0 0 4 3 3 3 3 3 2 1 1 1 1 1 1 0 1 2 3 4 4 3 4 0 1 2 2 1 2 3 4 0 0 4 0 1 2 3 3 2 3 4 0 1 1 1 2 3 4 0 4 4 0 1 2 3 2 2 3 4 0 1 0 0 1 2 3 4 3 3 4 0 1 2 1 2 3 4 0 1 4 0 1 2 3 4 2 3 4 0 1 2 0 1 2 3 4 0 3 4 0 1 2 3 1 3 4 0 1 2 4 1 2 3 4 0 2 4 0 1 2 3 0 2 3 4 0 1 3 0 1 2 3 4 1 4 0 1 2 3 4 2 3 4 0 1 2 0 1 2 3 4 0 3 4 0 1 2 3 1 2 3 4 0 2 0 2 4 1 3 0 3 0 2 4 1 3 1 3 0 2 4 1 4 1 3 0 2 4 2 4 1 3 0 2 1 3 0 2 4 0 4 1 3 0 2 3 2 4 1 3 0 1 0 2 4 1 3 4 3 0 2 4 1 2 2 4 1 3 0 0 0 2 4 1 3 3 3 0 2 4 1 1 1 3 0 2 4 4 4 1 3 0 2 2 3 0 2 4 1 0 1 3 0 2 4 3 4 1 3 0 2 1 2 4 1 3 0 4 0 2 4 1 3 2 4 1 3 0 2 0 2 4 1 3 0 3 0 2 4 1 3 1 3 0 2 4 1 4 1 3 0 2 4 3 0 3 1 4 2 1 3 1 4 2 0 4 1 4 2 0 3 2 4 2 0 3 1 0 2 0 3 1 4 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 2 0 3 2 0 3 1 4 1 0 3 1 4 2 4 3 1 4 2 0 2 1 4 2 0 3 0 4 2 0 3 1 3 3 1 4 2 0 1 1 4 2 0 3 4 4 2 0 3 1 2 2 0 3 1 4 0 0 3 1 4 2 3 4 2 0 3 1 1 2 0 3 1 4 4 0 3 1 4 2 2 3 1 4 2 0 0 1 4 2 0 3 4 0 4 3 2 1 2 3 2 1 0 4 0 1 0 4 3 2 3 4 3 2 1 0 1 2 1 0 4 3 4 1 0 4 3 2 2 4 3 2 1 0 0 2 1 0 4 3 3 0 4 3 2 1 1 3 2 1 0 4 4 2 1 0 4 3 2 0 4 3 2 1 0 3 2 1 0 4 3 1 0 4 3 2 1 4 3 2 1 0 4 3 2 1 0 4 2 1 0 4 3 2 0 4 3 2 1 0 3 2 1 0 4 3 1 0 4 3 2 1 4 4 3 2 1 0 2 2 1 0 4 3 0 0 4 3 2 1 3 3 2 1 0 4 1 1 0 4 3 2 Notes: (i) The first 50 rows form an SSD(50, 5^30) with overall A2=90; the possible projected A2 values are 0 and 3/2 with frequencies 375 and 60. (ii) The first 75 rows form an SSD(75, 5^30) with overall A2=40; the possible projected A2 values are 0 and 2/3 with frequencies 375 and 60. (iii) All rows form an SSD(100, 5^30) with overall A2=15; the possible projected A2 values are 0 and 1/4 with frequencies 375 and 60.