> //design No.10 > ablox; [ { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 4, 5, 7, 16, 18, 19, 21, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 6, 8, 15, 17, 20, 22, 23, 26 }, { 4, 5, 7, 10, 11, 13, 22, 23, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 12, 14, 21, 24, 25 }, { 4, 5, 7, 9, 12, 14, 15, 17, 20 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 6, 8, 10, 11, 13, 16, 18, 19 }, { 2, 4, 6, 12, 13, 18, 20, 23, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 7, 8, 11, 14, 17, 19, 24, 26 }, { 2, 4, 6, 10, 14, 15, 19, 21, 26 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 7, 8, 9, 13, 16, 20, 22, 25 }, { 2, 4, 6, 9, 11, 16, 17, 22, 24 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 7, 8, 10, 12, 15, 18, 21, 23 }, { 2, 3, 7, 12, 13, 15, 19, 22, 24 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 6, 11, 14, 16, 20, 21, 23 }, { 2, 3, 7, 9, 11, 18, 20, 21, 26 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 1, 5, 6, 10, 12, 17, 19, 22, 25 }, { 2, 3, 7, 10, 14, 16, 17, 23, 25 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 13, 15, 18, 24, 26 }, { 2, 5, 8, 11, 12, 15, 16, 25, 26 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 3, 4, 13, 14, 17, 18, 21, 22 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 11, 13, 15, 17, 21, 25, 27 }, { 1, 3, 4, 10, 12, 16, 20, 24, 26 }, { 2, 5, 8, 10, 13, 17, 20, 21, 24 }, { 6, 7, 12, 14, 16, 18, 22, 26, 27 }, { 1, 3, 4, 9, 11, 15, 19, 23, 25 } ] > //aff geom design in code > blos; [ { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 5, 6, 10, 12, 17, 19, 22, 25 }, { 4, 5, 7, 16, 18, 19, 21, 24, 25 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 4, 5, 7, 9, 12, 14, 15, 17, 20 }, { 1, 7, 8, 11, 14, 17, 19, 24, 26 }, { 2, 4, 6, 9, 11, 16, 17, 22, 24 }, { 1, 3, 4, 10, 12, 16, 20, 24, 26 }, { 2, 3, 7, 12, 13, 15, 19, 22, 24 }, { 2, 3, 7, 10, 14, 16, 17, 23, 25 }, { 2, 3, 7, 9, 11, 18, 20, 21, 26 }, { 3, 6, 8, 9, 12, 14, 21, 24, 25 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 4, 5, 7, 10, 11, 13, 22, 23, 26 }, { 1, 7, 8, 10, 12, 15, 18, 21, 23 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 2, 5, 8, 12, 13, 16, 17, 21, 26 }, { 3, 6, 8, 10, 11, 13, 16, 18, 19 }, { 1, 3, 4, 9, 13, 17, 19, 21, 23 }, { 10, 11, 13, 15, 17, 20, 21, 24, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 3, 6, 8, 15, 17, 20, 22, 23, 26 }, { 9, 12, 14, 16, 18, 19, 22, 23, 26 }, { 1, 3, 4, 11, 14, 15, 18, 22, 25 }, { 2, 4, 6, 10, 14, 15, 19, 21, 26 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 13, 15, 18, 24, 26 }, { 6, 7, 13, 14, 17, 18, 21, 22, 27 }, { 2, 5, 8, 10, 14, 18, 20, 22, 24 }, { 2, 5, 8, 9, 11, 15, 19, 23, 25 }, { 2, 4, 6, 12, 13, 18, 20, 23, 25 }, { 1, 7, 8, 9, 13, 16, 20, 22, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 5, 6, 11, 14, 16, 20, 21, 23 } ] load "AD9-14.m"; Loading "AD9-14.m" > od3:=od10; > load "AD.m"; Loading "AD.m" 3-rank design= 12 weight distribution code= [ <0, 1>, <6, 72>, <9, 222>, <12, 15012>, <15, 120168>, <18, 254460>, <21, 132084>, <24, 9198>, <27, 224> ] no of constant weight-9's 111 111 2-(27, 9, 4) Design with 39 blocks > load "testa.m"; > //design no 11 > ablox; [ { 10, 11, 12, 15, 17, 20, 21, 23, 26 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 13, 14, 16, 18, 19, 22, 24, 25 }, { 3, 4, 6, 15, 17, 20, 22, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 5, 7, 8, 16, 18, 19, 21, 23, 26 }, { 3, 4, 6, 9, 13, 14, 21, 23, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 5, 7, 8, 10, 11, 12, 22, 24, 25 }, { 3, 4, 6, 10, 11, 12, 16, 18, 19 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 5, 7, 8, 9, 13, 14, 15, 17, 20 }, { 2, 6, 7, 11, 13, 17, 19, 24, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 4, 8, 12, 14, 18, 20, 23, 25 }, { 2, 3, 7, 12, 13, 16, 20, 21, 25 }, { 4, 5, 9, 11, 17, 18, 23, 24, 27 }, { 1, 6, 8, 10, 14, 15, 19, 22, 26 }, { 2, 4, 7, 10, 13, 15, 18, 22, 23 }, { 5, 6, 9, 12, 19, 20, 25, 26, 27 }, { 1, 3, 8, 11, 14, 16, 17, 21, 24 }, { 2, 5, 6, 11, 14, 18, 20, 21, 22 }, { 3, 8, 10, 13, 17, 19, 23, 25, 27 }, { 1, 4, 7, 9, 12, 15, 16, 24, 26 }, { 2, 3, 5, 12, 14, 15, 19, 23, 24 }, { 4, 8, 11, 13, 16, 20, 22, 26, 27 }, { 1, 6, 7, 9, 10, 17, 18, 21, 25 }, { 2, 4, 5, 10, 14, 16, 17, 25, 26 }, { 6, 8, 12, 13, 15, 18, 21, 24, 27 }, { 1, 3, 7, 9, 11, 19, 20, 22, 23 }, { 2, 6, 8, 9, 11, 15, 16, 23, 25 }, { 3, 7, 10, 14, 18, 20, 24, 26, 27 }, { 1, 4, 5, 12, 13, 17, 19, 21, 22 }, { 2, 3, 8, 9, 12, 17, 18, 22, 26 }, { 4, 7, 11, 14, 15, 19, 21, 25, 27 }, { 1, 5, 6, 10, 13, 16, 20, 23, 24 }, { 2, 4, 8, 9, 10, 19, 20, 21, 24 }, { 6, 7, 12, 14, 16, 17, 22, 23, 27 }, { 1, 3, 5, 11, 13, 15, 18, 25, 26 } ] > //aff geom design in code > blos; [ { 3, 8, 10, 13, 17, 19, 23, 25, 27 }, { 2, 3, 7, 12, 13, 16, 20, 21, 25 }, { 1, 3, 8, 11, 14, 16, 17, 21, 24 }, { 6, 8, 12, 13, 15, 18, 21, 24, 27 }, { 5, 7, 8, 10, 11, 12, 16, 18, 19 }, { 4, 8, 11, 13, 16, 20, 22, 26, 27 }, { 2, 5, 6, 11, 14, 18, 20, 21, 22 }, { 2, 6, 7, 11, 13, 17, 19, 24, 26 }, { 6, 7, 12, 14, 16, 17, 22, 23, 27 }, { 9, 10, 11, 12, 13, 14, 21, 23, 26 }, { 1, 3, 7, 9, 11, 19, 20, 22, 23 }, { 2, 4, 5, 10, 14, 16, 17, 25, 26 }, { 1, 4, 5, 12, 13, 17, 19, 21, 22 }, { 10, 11, 12, 15, 17, 20, 22, 24, 25 }, { 1, 4, 7, 9, 12, 15, 16, 24, 26 }, { 4, 7, 11, 14, 15, 19, 21, 25, 27 }, { 3, 7, 10, 14, 18, 20, 24, 26, 27 }, { 3, 4, 5, 6, 7, 8, 15, 17, 20 }, { 5, 7, 8, 21, 22, 23, 24, 25, 26 }, { 1, 5, 6, 10, 13, 16, 20, 23, 24 }, { 4, 5, 9, 11, 17, 18, 23, 24, 27 }, { 9, 13, 14, 15, 16, 17, 18, 19, 20 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 3, 4, 6, 16, 18, 19, 21, 23, 26 }, { 3, 4, 6, 9, 13, 14, 22, 24, 25 }, { 1, 2, 3, 4, 6, 10, 11, 12, 27 }, { 2, 4, 7, 10, 13, 15, 18, 22, 23 }, { 1, 3, 5, 11, 13, 15, 18, 25, 26 }, { 2, 3, 8, 9, 12, 17, 18, 22, 26 }, { 1, 6, 7, 9, 10, 17, 18, 21, 25 }, { 2, 4, 8, 9, 10, 19, 20, 21, 24 }, { 1, 2, 5, 7, 8, 9, 13, 14, 27 }, { 2, 3, 5, 12, 14, 15, 19, 23, 24 }, { 1, 4, 8, 12, 14, 18, 20, 23, 25 }, { 1, 2, 15, 17, 20, 21, 23, 26, 27 }, { 5, 6, 9, 12, 19, 20, 25, 26, 27 }, { 2, 6, 8, 9, 11, 15, 16, 23, 25 }, { 1, 2, 16, 18, 19, 22, 24, 25, 27 }, { 1, 6, 8, 10, 14, 15, 19, 22, 26 } ] > dc:=descode(27,blos,3);ac:=descode(27,ablox,3); Dim(ac meet dc); 10 > quit; Total time: 3.290 seconds load "AD9-14.m"; Loading "AD9-14.m" > od3:=od11; > load "AD.m"; Loading "AD.m" 3-rank design= 12 weight distribution code= [ <0, 1>, <6, 72>, <9, 222>, <12, 15012>, <15, 120168>, <18, 254460>, <21, 132084>, <24, 9198>, <27, 224> ] no of constant weight-9's 111 111 2-(27, 9, 4) Design with 39 blocks > //design no.12 > ablox:= [ { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 4, 5, 7, 15, 18, 19, 21, 24, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 6, 8, 16, 17, 20, 22, 23, 25 }, { 4, 5, 7, 10, 12, 13, 22, 23, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 11, 14, 21, 24, 26 }, { 4, 5, 7, 9, 11, 14, 16, 17, 20 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 6, 8, 10, 12, 13, 15, 18, 19 }, { 2, 4, 6, 11, 13, 18, 20, 23, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 7, 8, 12, 14, 17, 19, 24, 25 }, { 2, 4, 6, 10, 14, 16, 19, 21, 25 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 7, 8, 9, 13, 15, 20, 22, 26 }, { 2, 4, 6, 9, 12, 15, 17, 22, 24 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 7, 8, 10, 11, 16, 18, 21, 23 }, { 2, 3, 7, 11, 13, 16, 19, 22, 24 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 6, 12, 14, 15, 20, 21, 23 }, { 2, 3, 7, 9, 12, 18, 20, 21, 25 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 1, 5, 6, 10, 11, 17, 19, 22, 26 }, { 2, 3, 7, 10, 14, 15, 17, 23, 26 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 13, 16, 18, 24, 25 }, { 2, 5, 8, 11, 12, 15, 16, 25, 26 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 3, 4, 13, 14, 17, 18, 21, 22 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 11, 13, 15, 17, 21, 25, 27 }, { 1, 3, 4, 10, 12, 16, 20, 24, 26 }, { 2, 5, 8, 10, 13, 17, 20, 21, 24 }, { 6, 7, 12, 14, 16, 18, 22, 26, 27 }, { 1, 3, 4, 9, 11, 15, 19, 23, 25 } ]; //aff geom inside blos:= [ { 1, 5, 6, 12, 14, 15, 20, 21, 23 }, { 3, 6, 8, 16, 17, 20, 22, 23, 25 }, { 1, 3, 4, 10, 11, 15, 20, 24, 25 }, { 2, 4, 6, 10, 14, 16, 19, 21, 25 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 5, 6, 9, 13, 16, 18, 24, 25 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 4, 5, 7, 9, 11, 14, 16, 17, 20 }, { 2, 3, 7, 11, 13, 16, 19, 22, 24 }, { 2, 4, 6, 9, 12, 15, 17, 22, 24 }, { 2, 5, 8, 11, 13, 15, 17, 21, 25 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 2, 4, 6, 11, 13, 18, 20, 23, 26 }, { 1, 7, 8, 10, 11, 16, 18, 21, 23 }, { 1, 7, 8, 9, 13, 15, 20, 22, 26 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 11, 14, 15, 18, 19, 22, 23, 25 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 3, 4, 9, 13, 17, 19, 21, 23 }, { 3, 6, 8, 10, 12, 13, 15, 18, 19 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 10, 11, 17, 19, 22, 26 }, { 6, 7, 13, 14, 17, 18, 21, 22, 27 }, { 4, 5, 7, 15, 18, 19, 21, 24, 26 }, { 2, 5, 8, 10, 14, 18, 20, 22, 24 }, { 10, 12, 13, 16, 17, 20, 21, 24, 26 }, { 1, 7, 8, 12, 14, 17, 19, 24, 25 }, { 2, 3, 7, 9, 12, 18, 20, 21, 25 }, { 1, 3, 4, 12, 14, 16, 18, 22, 26 }, { 2, 3, 7, 10, 14, 15, 17, 23, 26 }, { 2, 5, 8, 9, 12, 16, 19, 23, 26 }, { 4, 5, 7, 10, 12, 13, 22, 23, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 11, 14, 21, 24, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 } ]; /* > dc:=descode(27,blos,3);ac:=descode(27,ablox,3); Dim(ac meet dc); 10 > quit; Total time: 2.500 seconds Loading "AD9-14.m" > od3:=od12; > load "AD.m"; Loading "AD.m" 3-rank design= 12 weight distribution code= [ <0, 1>, <6, 72>, <9, 222>, <12, 15012>, <15, 120168>, <18, 254460>, <21, 132084>, <24, 9198>, <27, 224> ] no of constant weight-9's 111 111 2-(27, 9, 4) Design with 39 blocks > load "testa.m"; */> //design blocks No.13 > ablox; [ { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 4, 5, 7, 16, 18, 19, 21, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 6, 8, 15, 17, 20, 22, 23, 26 }, { 4, 5, 7, 10, 11, 13, 22, 23, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 12, 14, 21, 24, 25 }, { 4, 5, 7, 9, 12, 14, 15, 17, 20 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 6, 8, 10, 11, 13, 16, 18, 19 }, { 2, 4, 6, 12, 13, 18, 20, 23, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 7, 8, 11, 14, 17, 19, 24, 26 }, { 2, 4, 6, 10, 14, 15, 19, 21, 26 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 7, 8, 9, 13, 16, 20, 22, 25 }, { 2, 4, 6, 9, 11, 16, 17, 22, 24 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 7, 8, 10, 12, 15, 18, 21, 23 }, { 2, 3, 7, 12, 13, 15, 19, 22, 24 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 6, 11, 14, 16, 20, 21, 23 }, { 2, 3, 7, 9, 11, 18, 20, 21, 26 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 1, 5, 6, 10, 12, 17, 19, 22, 25 }, { 2, 3, 7, 10, 14, 16, 17, 23, 25 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 13, 15, 18, 24, 26 }, { 2, 5, 8, 10, 12, 16, 20, 24, 26 }, { 6, 7, 9, 11, 15, 19, 23, 25, 27 }, { 1, 3, 4, 13, 14, 17, 18, 21, 22 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 10, 13, 17, 20, 21, 24, 27 }, { 1, 3, 4, 11, 12, 15, 16, 25, 26 }, { 2, 5, 8, 11, 13, 15, 17, 21, 25 }, { 6, 7, 12, 14, 16, 18, 22, 26, 27 }, { 1, 3, 4, 9, 10, 19, 20, 23, 24 } ] > //affine geom design in the code > blos; [ { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 5, 6, 10, 12, 17, 19, 22, 25 }, { 4, 5, 7, 16, 18, 19, 21, 24, 25 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 4, 5, 7, 9, 12, 14, 15, 17, 20 }, { 1, 7, 8, 11, 14, 17, 19, 24, 26 }, { 2, 4, 6, 9, 11, 16, 17, 22, 24 }, { 1, 3, 4, 10, 12, 16, 20, 24, 26 }, { 2, 3, 7, 12, 13, 15, 19, 22, 24 }, { 2, 3, 7, 10, 14, 16, 17, 23, 25 }, { 2, 3, 7, 9, 11, 18, 20, 21, 26 }, { 3, 6, 8, 9, 12, 14, 21, 24, 25 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 4, 5, 7, 10, 11, 13, 22, 23, 26 }, { 1, 7, 8, 10, 12, 15, 18, 21, 23 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 2, 5, 8, 12, 13, 16, 17, 21, 26 }, { 3, 6, 8, 10, 11, 13, 16, 18, 19 }, { 1, 3, 4, 9, 13, 17, 19, 21, 23 }, { 10, 11, 13, 15, 17, 20, 21, 24, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 3, 6, 8, 15, 17, 20, 22, 23, 26 }, { 9, 12, 14, 16, 18, 19, 22, 23, 26 }, { 1, 3, 4, 11, 14, 15, 18, 22, 25 }, { 2, 4, 6, 10, 14, 15, 19, 21, 26 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 13, 15, 18, 24, 26 }, { 6, 7, 13, 14, 17, 18, 21, 22, 27 }, { 2, 5, 8, 10, 14, 18, 20, 22, 24 }, { 2, 5, 8, 9, 11, 15, 19, 23, 25 }, { 2, 4, 6, 12, 13, 18, 20, 23, 25 }, { 1, 7, 8, 9, 13, 16, 20, 22, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 5, 6, 11, 14, 16, 20, 21, 23 } ] > load "AD13.m"; Loading "AD13.m" > od3:=od13; > load "AD.m"; Loading "AD.m" 3-rank design= 12 weight distribution code= [ <0, 1>, <6, 72>, <9, 222>, <12, 15012>, <15, 120168>, <18, 254460>, <21, 132084>, <24, 9198>, <27, 224> ] no of constant weight-9's 111 111 2-(27, 9, 4) Design with 39 blocks > //design no 14 ablox:= [ { 11, 13, 14, 15, 16, 18, 22, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 10, 12, 17, 19, 20, 21, 23, 26 }, { 3, 5, 7, 17, 19, 20, 22, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 4, 6, 8, 15, 16, 18, 21, 23, 26 }, { 3, 5, 7, 11, 13, 14, 21, 23, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 4, 6, 8, 9, 10, 12, 22, 24, 25 }, { 2, 4, 6, 11, 13, 19, 20, 25, 26 }, { 1, 3, 9, 15, 21, 22, 23, 24, 27 }, { 5, 7, 8, 10, 12, 14, 16, 17, 18 }, { 3, 4, 7, 9, 12, 13, 15, 18, 19 }, { 2, 5, 10, 16, 21, 22, 25, 26, 27 }, { 1, 6, 8, 11, 14, 17, 20, 23, 24 }, { 2, 6, 7, 10, 14, 15, 19, 21, 24 }, { 4, 5, 9, 11, 17, 18, 23, 25, 27 }, { 1, 3, 8, 12, 13, 16, 20, 22, 26 }, { 2, 7, 8, 9, 11, 16, 19, 22, 23 }, { 5, 6, 12, 13, 15, 17, 24, 26, 27 }, { 1, 3, 4, 10, 14, 18, 20, 21, 25 }, { 2, 4, 5, 12, 14, 15, 20, 22, 23 }, { 3, 8, 10, 11, 18, 19, 24, 26, 27 }, { 1, 6, 7, 9, 13, 16, 17, 21, 25 }, { 3, 5, 6, 9, 10, 11, 15, 16, 20 }, { 4, 8, 13, 14, 17, 19, 21, 22, 27 }, { 1, 2, 7, 12, 18, 23, 24, 25, 26 }, { 2, 3, 4, 10, 13, 16, 17, 23, 24 }, { 7, 8, 9, 14, 15, 20, 25, 26, 27 }, { 1, 5, 6, 11, 12, 18, 19, 21, 22 }, { 2, 5, 8, 9, 13, 18, 20, 21, 24 }, { 3, 6, 12, 14, 16, 19, 23, 25, 27 }, { 1, 4, 7, 10, 11, 15, 17, 22, 26 }, { 2, 3, 6, 9, 14, 17, 18, 22, 26 }, { 4, 7, 11, 12, 16, 20, 21, 24, 27 }, { 1, 5, 8, 10, 13, 15, 19, 23, 25 }, { 2, 3, 8, 11, 12, 15, 17, 21, 25 }, { 6, 7, 10, 13, 18, 20, 22, 23, 27 }, { 1, 4, 5, 9, 14, 16, 19, 24, 26 } ]; > //aff geom design in code blos:= [ { 1, 2, 3, 5, 7, 17, 19, 20, 27 }, { 1, 4, 5, 10, 13, 16, 19, 23, 24 }, { 4, 7, 9, 14, 16, 20, 24, 26, 27 }, { 2, 3, 4, 11, 12, 16, 17, 21, 24 }, { 1, 4, 7, 10, 11, 15, 17, 22, 26 }, { 15, 16, 17, 18, 19, 20, 21, 23, 26 }, { 1, 3, 4, 10, 14, 18, 20, 21, 25 }, { 9, 10, 11, 12, 13, 14, 21, 23, 26 }, { 2, 5, 6, 10, 11, 16, 20, 25, 26 }, { 5, 8, 10, 14, 16, 17, 21, 22, 27 }, { 4, 6, 8, 15, 16, 18, 22, 24, 25 }, { 1, 6, 7, 9, 13, 16, 17, 21, 25 }, { 1, 2, 11, 13, 14, 15, 16, 18, 27 }, { 7, 8, 10, 13, 15, 20, 23, 25, 27 }, { 9, 10, 12, 17, 19, 20, 22, 24, 25 }, { 2, 4, 7, 12, 13, 18, 19, 25, 26 }, { 5, 6, 12, 13, 15, 17, 24, 26, 27 }, { 1, 7, 8, 12, 14, 17, 18, 23, 24 }, { 2, 4, 5, 12, 14, 15, 20, 22, 23 }, { 3, 5, 7, 11, 13, 14, 22, 24, 25 }, { 3, 8, 10, 11, 18, 19, 24, 26, 27 }, { 1, 3, 8, 12, 13, 16, 20, 22, 26 }, { 2, 5, 8, 9, 13, 18, 20, 21, 24 }, { 2, 3, 6, 10, 13, 17, 18, 22, 23 }, { 3, 6, 12, 14, 16, 19, 23, 25, 27 }, { 1, 5, 8, 11, 12, 15, 19, 21, 25 }, { 2, 3, 8, 9, 14, 15, 17, 25, 26 }, { 3, 4, 9, 13, 15, 19, 21, 22, 27 }, { 1, 2, 4, 6, 8, 9, 10, 12, 27 }, { 3, 4, 5, 6, 7, 8, 21, 23, 26 }, { 6, 7, 11, 12, 18, 20, 21, 22, 27 }, { 3, 5, 7, 9, 10, 12, 15, 16, 18 }, { 4, 6, 8, 11, 13, 14, 17, 19, 20 }, { 2, 7, 8, 9, 11, 16, 19, 22, 23 }, { 1, 3, 6, 9, 11, 15, 20, 23, 24 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 2, 6, 7, 10, 14, 15, 19, 21, 24 }, { 4, 5, 9, 11, 17, 18, 23, 25, 27 }, { 1, 5, 6, 9, 14, 18, 19, 22, 26 } ]; /*> dc:=descode(27,blos,3);ac:=descode(27,ablox,3); Dim(ac meet dc); 10 > quit; Total time: 3.439 seconds load "AD9-14.m"; Loading "AD9-14.m" > od3:=od14; > load "AD.m"; Loading "AD.m" 3-rank design= 13 weight distribution code= [ <0, 1>, <6, 54>, <9, 1266>, <12, 45090>, <15, 357156>, <18, 770070>, <21, 390204>, <24, 30294>, <27, 188> ] no of constant weight-9's 93 93 2-(27, 9, 4) Design with 39 blocks */> //Design No.15 ...no aff geom inside > ablox; [ { 10, 11, 13, 16, 18, 20, 21, 23, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 14, 15, 17, 19, 22, 24, 26 }, { 3, 4, 7, 16, 18, 19, 21, 24, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 5, 6, 8, 15, 17, 20, 22, 23, 25 }, { 3, 4, 6, 10, 12, 13, 22, 24, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 5, 7, 8, 9, 11, 14, 21, 23, 26 }, { 4, 5, 7, 9, 12, 13, 15, 18, 20 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 6, 8, 10, 11, 14, 16, 17, 19 }, { 2, 4, 7, 11, 14, 17, 20, 24, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 6, 8, 12, 13, 18, 19, 23, 26 }, { 2, 7, 8, 9, 13, 16, 19, 22, 25 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 4, 6, 10, 14, 15, 20, 21, 26 }, { 2, 4, 6, 9, 12, 16, 17, 21, 23 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 7, 8, 10, 11, 15, 18, 22, 24 }, { 2, 5, 6, 11, 13, 15, 19, 21, 24 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 3, 7, 12, 14, 16, 20, 22, 23 }, { 2, 3, 6, 9, 11, 18, 20, 22, 26 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 1, 5, 7, 10, 12, 17, 19, 21, 25 }, { 2, 3, 7, 10, 13, 15, 17, 23, 26 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 14, 16, 18, 24, 25 }, { 2, 3, 8, 12, 14, 15, 18, 21, 25 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 4, 5, 11, 13, 16, 17, 22, 26 }, { 2, 4, 5, 10, 14, 18, 19, 22, 23 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 3, 8, 9, 13, 17, 20, 21, 24 }, { 2, 5, 8, 10, 12, 16, 20, 24, 26 }, { 6, 7, 13, 14, 17, 18, 21, 22, 27 }, { 1, 3, 4, 9, 11, 15, 19, 23, 25 } ] > LOG("lamton18"); //design No.16 ablox:= [ { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 4, 5, 7, 15, 18, 20, 21, 23, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 6, 8, 16, 17, 19, 22, 24, 25 }, { 4, 5, 7, 9, 12, 13, 22, 24, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 10, 11, 14, 21, 23, 26 }, { 4, 5, 7, 10, 11, 14, 16, 17, 19 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 6, 8, 9, 12, 13, 15, 18, 20 }, { 2, 4, 6, 11, 13, 18, 19, 24, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 7, 8, 12, 14, 17, 20, 23, 25 }, { 2, 4, 6, 9, 14, 16, 20, 21, 25 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 7, 8, 10, 13, 15, 19, 22, 26 }, { 2, 4, 6, 10, 12, 15, 17, 22, 23 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 7, 8, 9, 11, 16, 18, 21, 24 }, { 2, 3, 7, 12, 14, 15, 19, 21, 24 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 6, 11, 13, 16, 20, 22, 23 }, { 2, 3, 7, 9, 11, 17, 20, 22, 26 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 1, 5, 6, 10, 12, 18, 19, 21, 25 }, { 2, 3, 7, 10, 13, 16, 18, 23, 25 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 14, 15, 17, 24, 26 }, { 2, 5, 8, 11, 12, 15, 16, 25, 26 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 3, 4, 13, 14, 17, 18, 21, 22 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 11, 13, 15, 17, 21, 25, 27 }, { 1, 3, 4, 10, 12, 16, 20, 24, 26 }, { 2, 5, 8, 10, 13, 17, 20, 21, 24 }, { 6, 7, 12, 14, 16, 18, 22, 26, 27 }, { 1, 3, 4, 9, 11, 15, 19, 23, 25 } ]; //aff geom design in code blos:= [ { 1, 3, 4, 11, 12, 15, 16, 25, 26 }, { 1, 5, 6, 13, 14, 15, 16, 23, 24 }, { 6, 7, 9, 14, 18, 19, 22, 23, 27 }, { 1, 3, 4, 9, 10, 19, 20, 23, 24 }, { 1, 5, 6, 9, 10, 17, 18, 25, 26 }, { 1, 7, 8, 13, 14, 19, 20, 25, 26 }, { 1, 3, 4, 13, 14, 17, 18, 21, 22 }, { 4, 8, 9, 14, 15, 17, 24, 26, 27 }, { 2, 4, 6, 12, 14, 17, 20, 23, 25 }, { 1, 7, 8, 11, 12, 17, 18, 23, 24 }, { 3, 5, 11, 13, 18, 19, 24, 26, 27 }, { 2, 3, 7, 12, 14, 15, 19, 21, 24 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 2, 4, 6, 10, 13, 15, 19, 22, 26 }, { 3, 5, 10, 12, 15, 17, 22, 23, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 1, 5, 6, 11, 12, 19, 20, 21, 22 }, { 2, 5, 8, 10, 13, 17, 20, 21, 24 }, { 6, 7, 10, 12, 16, 20, 24, 26, 27 }, { 2, 5, 8, 12, 14, 16, 18, 22, 26 }, { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 2, 3, 7, 9, 11, 17, 20, 22, 26 }, { 2, 5, 8, 9, 11, 15, 19, 23, 25 }, { 2, 3, 7, 10, 13, 16, 18, 23, 25 }, { 3, 6, 8, 16, 17, 19, 22, 24, 25 }, { 3, 5, 9, 14, 16, 20, 21, 25, 27 }, { 3, 6, 8, 10, 11, 14, 21, 23, 26 }, { 4, 5, 7, 10, 11, 14, 16, 17, 19 }, { 1, 7, 8, 9, 10, 15, 16, 21, 22 }, { 2, 4, 6, 9, 11, 16, 18, 21, 24 }, { 3, 6, 8, 9, 12, 13, 15, 18, 20 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 6, 7, 11, 13, 15, 17, 21, 25, 27 }, { 4, 8, 10, 12, 18, 19, 21, 25, 27 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 4, 5, 7, 9, 12, 13, 22, 24, 25 }, { 4, 8, 11, 13, 16, 20, 22, 23, 27 }, { 4, 5, 7, 15, 18, 20, 21, 23, 26 } ]; /* > dc:=descode(27,blos,3);ac:=descode(27,ablox,3); > Dim(ac),Dim(dc),Dim(ac meet dc); 12 10 10 > "point group=",PointGroup(ades); point group= Permutation group acting on a set of cardinality 27 Order = 72 = 2^3 * 3^2 (1, 26)(2, 21)(3, 17)(4, 9)(5, 12)(6, 16)(7, 13)(8, 19)(10, 15)(11, 18)(14, 20)(23, 27) (2, 7)(5, 6)(8, 27)(10, 18)(12, 21)(13, 16)(14, 24)(17, 26)(20, 22) (9, 19, 23)(10, 20, 24)(11, 15, 25)(12, 16, 26)(13, 17, 21)(14, 18, 22) load "AD15-20.m"; Loading "AD15-20.m" > od3:=od16; > load "AD.m"; Loading "AD.m" 3-rank design= 12 weight distribution code= [ <0, 1>, <6, 72>, <9, 222>, <12, 15012>, <15, 120168>, <18, 254460>, <21, 132084>, <24, 9198>, <27, 224> ] no of constant weight-9's 111 111 2-(27, 9, 4) Design with 39 blocks */ //design no. 17 ablox:= [ { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 3, 4, 6, 15, 18, 20, 21, 23, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 5, 7, 8, 16, 17, 19, 22, 24, 25 }, { 3, 4, 6, 9, 12, 13, 22, 24, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 5, 7, 8, 10, 11, 14, 21, 23, 26 }, { 3, 4, 6, 10, 11, 14, 16, 17, 19 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 5, 7, 8, 9, 12, 13, 15, 18, 20 }, { 2, 6, 7, 11, 13, 19, 20, 23, 24 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 4, 8, 12, 14, 17, 18, 25, 26 }, { 2, 6, 7, 9, 14, 15, 16, 25, 26 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 4, 8, 10, 13, 19, 20, 21, 22 }, { 2, 3, 7, 13, 14, 17, 18, 21, 22 }, { 4, 5, 9, 11, 19, 20, 25, 26, 27 }, { 1, 6, 8, 10, 12, 15, 16, 23, 24 }, { 2, 5, 6, 10, 12, 17, 20, 22, 26 }, { 3, 8, 13, 14, 15, 19, 23, 25, 27 }, { 1, 4, 7, 9, 11, 16, 18, 21, 24 }, { 2, 4, 5, 12, 14, 15, 19, 21, 24 }, { 6, 8, 11, 13, 16, 18, 22, 26, 27 }, { 1, 3, 7, 9, 10, 17, 20, 23, 25 }, { 2, 4, 5, 10, 13, 16, 18, 23, 25 }, { 6, 8, 9, 14, 17, 20, 21, 24, 27 }, { 1, 3, 7, 11, 12, 15, 19, 22, 26 }, { 2, 3, 8, 11, 12, 16, 20, 21, 25 }, { 4, 7, 10, 13, 15, 17, 24, 26, 27 }, { 1, 5, 6, 9, 14, 18, 19, 22, 23 }, { 2, 3, 8, 9, 10, 18, 19, 24, 26 }, { 4, 7, 12, 14, 16, 20, 22, 23, 27 }, { 1, 5, 6, 11, 13, 15, 17, 21, 25 }, { 2, 4, 8, 9, 11, 15, 17, 22, 23 }, { 6, 7, 10, 12, 18, 19, 21, 25, 27 }, { 1, 3, 5, 13, 14, 16, 20, 24, 26 } ]; //aff geom design in code blos:= [ { 5, 7, 8, 10, 11, 14, 16, 17, 19 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 2, 5, 7, 8, 9, 12, 13, 27 }, { 2, 3, 7, 13, 14, 17, 18, 21, 22 }, { 2, 3, 5, 9, 10, 15, 19, 21, 24 }, { 5, 7, 8, 15, 18, 20, 21, 23, 26 }, { 1, 2, 16, 17, 19, 22, 24, 25, 27 }, { 3, 4, 6, 15, 16, 17, 18, 19, 20 }, { 1, 2, 3, 4, 6, 21, 23, 26, 27 }, { 3, 8, 13, 14, 15, 19, 23, 25, 27 }, { 3, 4, 6, 9, 10, 11, 12, 13, 14 }, { 10, 11, 14, 21, 22, 23, 24, 25, 26 }, { 1, 3, 8, 9, 10, 17, 18, 25, 26 }, { 3, 7, 9, 10, 16, 20, 22, 23, 27 }, { 9, 12, 13, 15, 18, 20, 22, 24, 25 }, { 4, 7, 9, 11, 18, 19, 21, 25, 27 }, { 2, 6, 8, 10, 12, 15, 17, 22, 23 }, { 2, 4, 5, 9, 11, 17, 20, 22, 26 }, { 6, 7, 9, 14, 15, 17, 24, 26, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 3, 4, 5, 6, 7, 8, 22, 24, 25 }, { 5, 6, 10, 12, 19, 20, 25, 26, 27 }, { 2, 3, 8, 11, 12, 16, 20, 21, 25 }, { 1, 4, 5, 10, 13, 18, 19, 22, 23 }, { 1, 2, 10, 11, 14, 15, 18, 20, 27 }, { 4, 5, 12, 14, 15, 16, 21, 22, 27 }, { 1, 5, 6, 11, 13, 15, 17, 21, 25 }, { 2, 4, 8, 12, 14, 18, 19, 24, 26 }, { 2, 6, 7, 11, 13, 19, 20, 23, 24 }, { 2, 5, 6, 9, 14, 16, 18, 23, 25 }, { 6, 8, 11, 13, 16, 18, 22, 26, 27 }, { 1, 6, 8, 9, 14, 19, 20, 21, 22 }, { 1, 4, 7, 12, 14, 17, 20, 23, 25 }, { 2, 4, 7, 10, 13, 15, 16, 25, 26 }, { 1, 3, 5, 13, 14, 16, 20, 24, 26 }, { 1, 6, 7, 10, 12, 16, 18, 21, 24 }, { 1, 3, 7, 11, 12, 15, 19, 22, 26 }, { 4, 8, 10, 13, 17, 20, 21, 24, 27 }, { 1, 4, 8, 9, 11, 15, 16, 23, 24 } ]; /* > dc:=descode(27,blos,3);ac:=descode(27,ablox,3); > Dim(ac),Dim(dc),Dim(ac meet dc); 13 10 10 load "AD15-20.m"; Loading "AD15-20.m" > od3:=od17; > load "AD.m"; Loading "AD.m" 3-rank design= 13 weight distribution code= [ <0, 1>, <6, 126>, <9, 978>, <12, 45306>, <15, 357876>, <18, 768270>, <21, 391932>, <24, 29502>, <27, 332> ] no of constant weight-9's 165 point group= Permutation group acting on a set of cardinality 27 Order = 54 = 2 * 3^3 (1, 22)(2, 25)(3, 14, 4, 11, 6, 10)(5, 20, 7, 18, 8, 15)(9, 13, 12)(21, 26, 23)(24, 27) (1, 2, 27)(5, 7, 8)(15, 20, 18)(16, 17, 19)(21, 23, 26)(22, 25, 24) (9, 11)(10, 12)(13, 14)(15, 23)(16, 24)(17, 22)(18, 21)(19, 25)(20, 26) (3, 6, 4)(5, 8, 7)(9, 13, 12)(10, 11, 14)(15, 18, 20)(21, 26, 23) 165 2-(27, 9, 4) Design with 39 blocks*/> od3:=od18; > load "AD.m"; Loading "AD.m" 3-rank design= 13 weight distribution code= [ <0, 1>, <9, 1482>, <12, 44928>, <15, 356616>, <18, 771420>, <21, 388908>, <24, 30888>, <27, 80> ] no of constant weight-9's 39 point group= Permutation group acting on a set of cardinality 27 Order = 39 = 3 * 13 (1, 2, 27)(3, 9, 23)(4, 12, 25)(5, 11, 26)(6, 14, 21)(7, 10, 22)(8, 13, 24)(15, 16, 17) (2, 9, 22)(3, 18, 5)(4, 15, 20)(6, 25, 14)(7, 26, 10)(11, 23, 27)(12, 17, 24)(13, 16, 21) 39 2-(27, 9, 4) Design with 39 blocks > //Design No.18 with no aff geom des inside > ablox; [ { 10, 11, 13, 15, 16, 20, 23, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 14, 17, 18, 19, 21, 22, 26 }, { 5, 6, 7, 15, 18, 19, 21, 23, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 4, 8, 16, 17, 20, 22, 24, 26 }, { 4, 5, 7, 10, 11, 12, 22, 25, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 13, 14, 21, 23, 24 }, { 3, 4, 6, 10, 11, 14, 16, 18, 19 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 5, 7, 8, 9, 12, 13, 15, 17, 20 }, { 2, 6, 8, 11, 12, 19, 20, 23, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 4, 7, 13, 14, 17, 18, 24, 25 }, { 2, 4, 6, 9, 14, 15, 20, 22, 25 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 7, 8, 10, 13, 16, 19, 21, 26 }, { 2, 4, 8, 10, 12, 15, 18, 21, 24 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 6, 7, 9, 11, 16, 17, 22, 23 }, { 2, 3, 7, 11, 13, 18, 20, 21, 22 }, { 4, 8, 9, 10, 17, 19, 23, 25, 27 }, { 1, 5, 6, 12, 14, 15, 16, 24, 26 }, { 2, 3, 7, 10, 14, 15, 17, 23, 26 }, { 6, 8, 12, 13, 16, 18, 22, 25, 27 }, { 1, 4, 5, 9, 11, 19, 20, 21, 24 }, { 2, 4, 5, 9, 13, 16, 18, 23, 26 }, { 7, 8, 11, 14, 15, 19, 22, 24, 27 }, { 1, 3, 6, 10, 12, 17, 20, 21, 25 }, { 2, 3, 7, 9, 12, 16, 19, 24, 25 }, { 4, 6, 11, 13, 15, 17, 21, 26, 27 }, { 1, 5, 8, 10, 14, 18, 20, 22, 23 }, { 2, 5, 6, 10, 13, 17, 19, 22, 24 }, { 4, 7, 12, 14, 16, 20, 21, 23, 27 }, { 1, 3, 8, 9, 11, 15, 18, 25, 26 }, { 2, 5, 8, 11, 14, 16, 17, 21, 25 }, { 6, 7, 9, 10, 18, 20, 24, 26, 27 }, { 1, 3, 4, 12, 13, 15, 19, 22, 23 } ] > quit; Total time: 2.200 seconds > //design no.19 ablox:= [ { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 4, 5, 6, 16, 17, 19, 22, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 7, 8, 15, 18, 20, 21, 23, 26 }, { 4, 5, 6, 10, 11, 14, 21, 23, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 7, 8, 9, 12, 13, 22, 24, 25 }, { 4, 5, 7, 9, 12, 14, 15, 17, 20 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 6, 8, 10, 11, 13, 16, 18, 19 }, { 2, 4, 6, 12, 13, 18, 20, 23, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 7, 8, 11, 14, 17, 19, 24, 26 }, { 2, 4, 7, 10, 13, 15, 19, 22, 26 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 6, 8, 9, 14, 16, 20, 21, 25 }, { 2, 4, 7, 9, 11, 16, 18, 21, 24 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 6, 8, 10, 12, 15, 17, 22, 23 }, { 2, 3, 6, 12, 14, 15, 19, 21, 24 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 7, 11, 13, 16, 20, 22, 23 }, { 2, 3, 6, 9, 11, 17, 20, 22, 26 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 1, 5, 7, 10, 12, 18, 19, 21, 25 }, { 2, 3, 7, 10, 14, 16, 17, 23, 25 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 13, 15, 18, 24, 26 }, { 2, 5, 8, 10, 12, 16, 20, 24, 26 }, { 6, 7, 9, 11, 15, 19, 23, 25, 27 }, { 1, 3, 4, 13, 14, 17, 18, 21, 22 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 10, 13, 17, 20, 21, 24, 27 }, { 1, 3, 4, 11, 12, 15, 16, 25, 26 }, { 2, 5, 8, 11, 13, 15, 17, 21, 25 }, { 6, 7, 12, 14, 16, 18, 22, 26, 27 }, { 1, 3, 4, 9, 10, 19, 20, 23, 24 } ]; //aff geom design in code blos:= [ { 4, 5, 6, 16, 17, 19, 22, 24, 25 }, { 3, 7, 8, 15, 18, 20, 21, 23, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 7, 8, 10, 11, 14, 16, 17, 19 }, { 2, 4, 7, 10, 13, 15, 19, 22, 26 }, { 4, 5, 6, 9, 12, 13, 15, 18, 20 }, { 1, 6, 8, 9, 14, 16, 20, 21, 25 }, { 1, 5, 7, 10, 12, 18, 19, 21, 25 }, { 2, 3, 6, 10, 13, 16, 18, 23, 25 }, { 1, 6, 8, 11, 13, 18, 19, 24, 26 }, { 1, 5, 7, 9, 14, 15, 17, 24, 26 }, { 2, 4, 7, 12, 14, 17, 20, 23, 25 }, { 4, 5, 6, 10, 11, 14, 21, 23, 26 }, { 2, 3, 6, 12, 14, 15, 19, 21, 24 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 6, 7, 13, 14, 17, 18, 21, 22, 27 }, { 2, 3, 6, 9, 11, 17, 20, 22, 26 }, { 2, 4, 7, 9, 11, 16, 18, 21, 24 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 1, 6, 8, 10, 12, 15, 17, 22, 23 }, { 2, 5, 8, 9, 11, 15, 19, 23, 25 }, { 1, 3, 4, 11, 13, 15, 17, 21, 25 }, { 2, 5, 8, 12, 14, 16, 18, 22, 26 }, { 1, 3, 4, 9, 14, 18, 19, 22, 23 }, { 1, 5, 7, 11, 13, 16, 20, 22, 23 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 2, 5, 8, 10, 13, 17, 20, 21, 24 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 3, 4, 10, 12, 16, 20, 24, 26 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 3, 7, 8, 9, 12, 13, 22, 24, 25 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 } ]; /* > dc:=descode(27,blos,3);ac:=descode(27,ablox,3); > Dim(ac),Dim(dc),Dim(ac meet dc); 12 10 10 > quit; od3:=od19; > load "AD.m"; Loading "AD.m" 3-rank design= 12 weight distribution code= [ <0, 1>, <6, 36>, <9, 366>, <12, 14904>, <15, 119808>, <18, 255360>, <21, 131220>, <24, 9594>, <27, 152> ] no of constant weight-9's 75 75 2-(27, 9, 4) Design with 39 blocks */