/*> load "AD2.m"; Loading "AD2.m" > load "AD.m"; Loading "AD.m" 3-rank design= 11 weight distribution code= [ <0, 1>, <6, 18>, <9, 114>, <12, 4806>, <15, 40572>, <18, 84090>, <21, 44604>, <24, 2826>, <27, 116> ] no of constant weight-9's 57 57 2-(27, 9, 4) Design with 39 blocks*/ //blocks of this design No.2 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, 17, 19, 22, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 6, 8, 15, 18, 20, 21, 23, 26 }, { 4, 5, 7, 10, 11, 14, 21, 23, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 12, 13, 22, 24, 25 }, { 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, 6, 12, 14, 17, 20, 23, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 7, 8, 11, 13, 18, 19, 24, 26 }, { 2, 4, 6, 10, 13, 15, 19, 22, 26 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 7, 8, 9, 14, 16, 20, 21, 25 }, { 2, 4, 6, 9, 11, 16, 18, 21, 24 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 7, 8, 10, 12, 15, 17, 22, 23 }, { 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, 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 } ]; //the affine geometry design in lamton2 blos:= [ { 1, 7, 8, 9, 14, 16, 20, 21, 25 }, { 3, 6, 8, 10, 11, 14, 16, 17, 19 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 3, 6, 8, 9, 12, 13, 22, 24, 25 }, { 3, 6, 8, 15, 18, 20, 21, 23, 26 }, { 1, 5, 6, 9, 14, 15, 17, 24, 26 }, { 1, 3, 4, 10, 12, 16, 20, 24, 26 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 2, 4, 6, 12, 14, 17, 20, 23, 25 }, { 6, 7, 11, 12, 15, 16, 25, 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 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 4, 5, 7, 16, 17, 19, 22, 24, 25 }, { 1, 3, 4, 11, 13, 15, 17, 21, 25 }, { 2, 5, 8, 10, 13, 17, 20, 21, 24 }, { 4, 5, 7, 10, 11, 14, 21, 23, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 4, 5, 7, 9, 12, 13, 15, 18, 20 }, { 2, 5, 8, 12, 14, 16, 18, 22, 26 }, { 1, 3, 4, 9, 14, 18, 19, 22, 23 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 6, 7, 13, 14, 17, 18, 21, 22, 27 }, { 2, 3, 7, 9, 11, 17, 20, 22, 26 }, { 1, 7, 8, 11, 13, 18, 19, 24, 26 }, { 2, 5, 8, 9, 11, 15, 19, 23, 25 }, { 2, 3, 7, 10, 13, 16, 18, 23, 25 }, { 1, 7, 8, 10, 12, 15, 17, 22, 23 }, { 1, 5, 6, 10, 12, 18, 19, 21, 25 }, { 1, 5, 6, 11, 13, 16, 20, 22, 23 }, { 2, 4, 6, 9, 11, 16, 18, 21, 24 }, { 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 } ]; /*> load "AD3.m"; Loading "AD3.m" > 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 > s1:={1,14,26,27,40,49,60,61,74,76,82,89,94,95,108,2,43,70,88}; > dc:=descode(27,[cc[i]: i in s1], 3); > nblox:=[Support(x): x in ConstantWords(dc,9)]; > ndes:=Design<2,27|nblox>; > IsIsomorphic(AG,ndes); true Mapping from: Dsgn: AG to Dsgn: ndes > //the blocks of lamton3*/ 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, 13, 15, 17, 21, 25 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 3, 4, 12, 14, 16, 18, 22, 26 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 3, 4, 10, 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 } ]; //the blocks of the affine geometry design in the code of lamton3 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 } ]; //15Jan99 UWC/mathsun //blocks of the design No.4 ablox:= [ { 10, 12, 13, 16, 18, 19, 21, 23, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 11, 14, 15, 17, 20, 22, 24, 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, 11, 13, 16, 20, 22, 23 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 6, 12, 14, 15, 19, 21, 24 }, { 2, 3, 7, 9, 12, 17, 19, 21, 26 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 1, 5, 6, 10, 11, 18, 20, 22, 25 }, { 2, 3, 7, 10, 14, 15, 18, 24, 25 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 1, 5, 6, 9, 13, 16, 17, 23, 26 }, { 2, 5, 8, 11, 13, 15, 17, 21, 25 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 3, 4, 12, 14, 16, 18, 22, 26 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 3, 4, 10, 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 } ]; //blocks of affine geom design inside code blos:= [ { 1, 5, 6, 10, 13, 16, 18, 23, 25 }, { 2, 5, 8, 10, 12, 16, 20, 24, 26 }, { 1, 7, 8, 10, 13, 15, 19, 22, 26 }, { 2, 4, 6, 11, 13, 18, 19, 24, 26 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 2, 4, 6, 10, 12, 15, 17, 22, 23 }, { 2, 5, 8, 11, 13, 15, 17, 21, 25 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 2, 4, 6, 9, 14, 16, 20, 21, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 2, 3, 7, 10, 12, 18, 19, 21, 25 }, { 1, 7, 8, 9, 11, 16, 18, 21, 24 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 2, 3, 7, 11, 13, 16, 20, 22, 23 }, { 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 }, { 6, 7, 13, 14, 17, 18, 21, 22, 27 }, { 1, 3, 4, 10, 13, 17, 20, 21, 24 }, { 1, 5, 6, 12, 14, 15, 19, 21, 24 }, { 3, 6, 8, 16, 17, 19, 22, 24, 25 }, { 1, 3, 4, 12, 14, 16, 18, 22, 26 }, { 3, 6, 8, 10, 11, 14, 21, 23, 26 }, { 4, 5, 7, 10, 11, 14, 16, 17, 19 }, { 1, 3, 4, 9, 11, 15, 19, 23, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 12, 13, 15, 18, 20 }, { 2, 3, 7, 9, 14, 15, 17, 24, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 4, 5, 7, 9, 12, 13, 22, 24, 25 }, { 4, 5, 7, 15, 18, 20, 21, 23, 26 }, { 1, 7, 8, 12, 14, 17, 20, 23, 25 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 5, 6, 9, 11, 17, 20, 22, 26 } ]; /*load "AD4.m"; Loading "AD4.m" > od3:=od4; > load "AD.m"; Loading "AD.m" 3-rank design= 11 weight distribution code= [ <0, 1>, <6, 18>, <9, 114>, <12, 4806>, <15, 40572>, <18, 84090>, <21, 44604>, <24, 2826>, <27, 116> ] no of constant weight-9's 57 57 2-(27, 9, 4) Design with 39 blocks > ades4:=ades;*/ //#cc is 57 //design blocks No.5 ablox:= [ { 10, 11, 12, 15, 18, 20, 21, 23, 26 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 13, 14, 16, 17, 19, 22, 24, 25 }, { 3, 4, 6, 15, 18, 20, 22, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 5, 7, 8, 16, 17, 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, 17, 19 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 5, 7, 8, 9, 13, 14, 15, 18, 20 }, { 2, 6, 7, 11, 13, 18, 19, 24, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 4, 8, 12, 14, 17, 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, 17, 22, 23 }, { 5, 6, 9, 12, 19, 20, 25, 26, 27 }, { 1, 3, 8, 11, 14, 16, 18, 21, 24 }, { 2, 5, 6, 12, 14, 17, 18, 21, 22 }, { 3, 8, 11, 13, 15, 19, 23, 25, 27 }, { 1, 4, 7, 9, 10, 16, 20, 24, 26 }, { 2, 3, 5, 10, 14, 19, 20, 23, 24 }, { 4, 8, 12, 13, 16, 18, 22, 26, 27 }, { 1, 6, 7, 9, 11, 15, 17, 21, 25 }, { 2, 4, 5, 11, 14, 15, 16, 25, 26 }, { 6, 8, 10, 13, 17, 20, 21, 24, 27 }, { 1, 3, 7, 9, 12, 18, 19, 22, 23 }, { 2, 6, 8, 9, 10, 16, 18, 23, 25 }, { 3, 7, 12, 14, 15, 17, 24, 26, 27 }, { 1, 4, 5, 11, 13, 19, 20, 21, 22 }, { 2, 3, 8, 9, 11, 17, 20, 22, 26 }, { 4, 7, 10, 14, 18, 19, 21, 25, 27 }, { 1, 5, 6, 12, 13, 15, 16, 23, 24 }, { 2, 4, 8, 9, 12, 15, 19, 21, 24 }, { 6, 7, 11, 14, 16, 20, 22, 23, 27 }, { 1, 3, 5, 10, 13, 17, 18, 25, 26 } ]; //affine geom design inside blos:= [ { 10, 11, 12, 15, 18, 20, 22, 24, 25 }, { 2, 5, 6, 12, 14, 17, 18, 21, 22 }, { 3, 8, 11, 13, 15, 19, 23, 25, 27 }, { 2, 3, 8, 9, 11, 17, 20, 22, 26 }, { 2, 3, 7, 12, 13, 16, 20, 21, 25 }, { 1, 4, 8, 12, 14, 17, 20, 23, 25 }, { 3, 4, 5, 6, 7, 8, 10, 11, 12 }, { 4, 7, 10, 14, 18, 19, 21, 25, 27 }, { 1, 2, 16, 17, 19, 22, 24, 25, 27 }, { 2, 4, 5, 11, 14, 15, 16, 25, 26 }, { 9, 13, 14, 15, 18, 20, 21, 23, 26 }, { 6, 7, 11, 14, 16, 20, 22, 23, 27 }, { 1, 4, 5, 11, 13, 19, 20, 21, 22 }, { 1, 5, 6, 12, 13, 15, 16, 23, 24 }, { 5, 7, 8, 15, 16, 17, 18, 19, 20 }, { 5, 7, 8, 21, 22, 23, 24, 25, 26 }, { 9, 10, 11, 12, 13, 14, 16, 17, 19 }, { 6, 8, 10, 13, 17, 20, 21, 24, 27 }, { 1, 4, 7, 9, 10, 16, 20, 24, 26 }, { 4, 5, 9, 11, 17, 18, 23, 24, 27 }, { 3, 7, 12, 14, 15, 17, 24, 26, 27 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 2, 10, 11, 12, 21, 23, 26, 27 }, { 2, 4, 8, 9, 12, 15, 19, 21, 24 }, { 3, 4, 6, 9, 13, 14, 22, 24, 25 }, { 1, 2, 3, 4, 6, 15, 18, 20, 27 }, { 1, 3, 5, 10, 13, 17, 18, 25, 26 }, { 2, 6, 8, 9, 10, 16, 18, 23, 25 }, { 1, 2, 5, 7, 8, 9, 13, 14, 27 }, { 4, 8, 12, 13, 16, 18, 22, 26, 27 }, { 3, 4, 6, 16, 17, 19, 21, 23, 26 }, { 1, 3, 8, 11, 14, 16, 18, 21, 24 }, { 1, 3, 7, 9, 12, 18, 19, 22, 23 }, { 2, 4, 7, 10, 13, 15, 17, 22, 23 }, { 5, 6, 9, 12, 19, 20, 25, 26, 27 }, { 2, 3, 5, 10, 14, 19, 20, 23, 24 }, { 1, 6, 7, 9, 11, 15, 17, 21, 25 }, { 2, 6, 7, 11, 13, 18, 19, 24, 26 }, { 1, 6, 8, 10, 14, 15, 19, 22, 26 } ]; /*load "AD5.m"; Loading "AD5.m" > od3:=od5; > 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*/ //blocks for design No.6 ablox:= [ { 10, 11, 14, 16, 18, 19, 21, 24, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 13, 15, 17, 20, 22, 23, 26 }, { 4, 5, 7, 15, 17, 20, 21, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 6, 8, 16, 18, 19, 22, 23, 26 }, { 4, 5, 7, 10, 11, 14, 22, 23, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 12, 13, 21, 24, 25 }, { 4, 5, 7, 9, 12, 13, 16, 18, 19 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 3, 6, 8, 10, 11, 14, 15, 17, 20 }, { 2, 4, 6, 11, 13, 18, 20, 24, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 7, 8, 12, 14, 17, 19, 23, 25 }, { 2, 4, 6, 9, 14, 15, 19, 22, 25 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 7, 8, 10, 13, 16, 20, 21, 26 }, { 2, 4, 6, 10, 12, 16, 17, 21, 23 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 7, 8, 9, 11, 15, 18, 22, 24 }, { 2, 3, 7, 13, 14, 15, 16, 23, 24 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 6, 11, 12, 19, 20, 21, 22 }, { 2, 3, 7, 9, 11, 17, 19, 21, 26 }, { 4, 8, 12, 14, 16, 20, 22, 24, 27 }, { 1, 5, 6, 10, 13, 15, 18, 23, 25 }, { 2, 3, 7, 10, 12, 18, 20, 22, 25 }, { 4, 8, 11, 13, 15, 19, 21, 23, 27 }, { 1, 5, 6, 9, 14, 16, 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, 20, 21, 23 }, { 6, 7, 11, 13, 16, 17, 22, 25, 27 }, { 1, 3, 4, 10, 12, 15, 19, 24, 26 }, { 2, 5, 8, 10, 13, 17, 19, 22, 24 }, { 6, 7, 12, 14, 15, 18, 21, 26, 27 }, { 1, 3, 4, 9, 11, 16, 20, 23, 25 } ]; //blocks of affine geom design inside code blos:= [ { 1, 5, 6, 13, 14, 15, 16, 23, 24 }, { 2, 4, 6, 11, 13, 18, 20, 24, 26 }, { 3, 6, 8, 9, 12, 13, 21, 24, 25 }, { 1, 3, 4, 9, 10, 19, 20, 23, 24 }, { 2, 5, 8, 13, 14, 17, 18, 21, 22 }, { 1, 3, 4, 11, 13, 16, 17, 22, 25 }, { 1, 3, 4, 12, 14, 15, 18, 21, 26 }, { 10, 11, 14, 16, 18, 19, 21, 24, 25 }, { 2, 5, 8, 9, 11, 16, 20, 23, 25 }, { 2, 3, 7, 10, 13, 15, 18, 23, 25 }, { 2, 3, 7, 11, 12, 19, 20, 21, 22 }, { 4, 5, 7, 9, 10, 11, 12, 13, 14 }, { 2, 4, 6, 9, 10, 15, 16, 21, 22 }, { 6, 7, 10, 13, 17, 19, 22, 24, 27 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 4, 8, 11, 13, 15, 19, 21, 23, 27 }, { 1, 7, 8, 11, 12, 17, 18, 23, 24 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 7, 8, 10, 13, 16, 20, 21, 26 }, { 2, 4, 6, 12, 14, 17, 19, 23, 25 }, { 2, 3, 7, 9, 14, 16, 17, 24, 26 }, { 4, 8, 12, 14, 16, 20, 22, 24, 27 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 3, 6, 8, 15, 16, 17, 18, 19, 20 }, { 2, 5, 8, 10, 12, 15, 19, 24, 26 }, { 4, 5, 7, 16, 18, 19, 22, 23, 26 }, { 1, 7, 8, 9, 14, 15, 19, 22, 25 }, { 3, 5, 9, 11, 15, 18, 22, 24, 27 }, { 4, 5, 7, 15, 17, 20, 21, 24, 25 }, { 1, 5, 6, 10, 12, 18, 20, 22, 25 }, { 6, 7, 9, 14, 18, 20, 21, 23, 27 }, { 1, 2, 10, 11, 14, 15, 17, 20, 27 }, { 1, 2, 9, 12, 13, 16, 18, 19, 27 }, { 3, 5, 10, 12, 16, 17, 21, 23, 27 }, { 3, 6, 8, 10, 11, 14, 22, 23, 26 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 1, 5, 6, 9, 11, 17, 19, 21, 26 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 9, 12, 13, 15, 17, 20, 22, 23, 26 } ]; /*load "AD6.m"; Loading "AD6.m" > od3:=od6; > 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.7 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, 17, 19, 22, 24, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 6, 8, 15, 18, 20, 21, 23, 26 }, { 4, 5, 7, 10, 11, 14, 21, 23, 26 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 3, 6, 8, 9, 12, 13, 22, 24, 25 }, { 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, 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, 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:= [ { 1, 3, 4, 11, 12, 15, 16, 25, 26 }, { 2, 5, 8, 10, 12, 16, 20, 24, 26 }, { 2, 4, 6, 11, 13, 18, 19, 24, 26 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 2, 5, 8, 13, 14, 17, 18, 21, 22 }, { 4, 8, 9, 11, 17, 20, 22, 26, 27 }, { 4, 8, 13, 14, 15, 16, 23, 24, 27 }, { 6, 7, 12, 14, 16, 18, 22, 26, 27 }, { 3, 6, 8, 15, 18, 20, 21, 23, 26 }, { 4, 5, 7, 15, 16, 17, 18, 19, 20 }, { 2, 3, 7, 11, 12, 19, 20, 21, 22 }, { 1, 5, 6, 9, 10, 17, 18, 25, 26 }, { 2, 4, 6, 9, 10, 15, 16, 21, 22 }, { 1, 7, 8, 13, 14, 19, 20, 25, 26 }, { 1, 2, 9, 12, 13, 15, 18, 20, 27 }, { 2, 4, 6, 12, 14, 17, 20, 23, 25 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 1, 7, 8, 9, 11, 16, 18, 21, 24 }, { 1, 2, 10, 11, 14, 16, 17, 19, 27 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 3, 6, 8, 9, 10, 11, 12, 13, 14 }, { 9, 12, 13, 16, 17, 19, 21, 23, 26 }, { 4, 5, 7, 10, 11, 14, 21, 23, 26 }, { 1, 3, 4, 9, 14, 18, 19, 22, 23 }, { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 2, 5, 8, 9, 11, 15, 19, 23, 25 }, { 1, 3, 4, 10, 13, 17, 20, 21, 24 }, { 2, 3, 7, 10, 13, 16, 18, 23, 25 }, { 1, 5, 6, 12, 14, 15, 19, 21, 24 }, { 3, 6, 8, 16, 17, 19, 22, 24, 25 }, { 1, 7, 8, 10, 12, 15, 17, 22, 23 }, { 3, 5, 9, 14, 16, 20, 21, 25, 27 }, { 3, 5, 10, 13, 15, 19, 22, 26, 27 }, { 1, 5, 6, 11, 13, 16, 20, 22, 23 }, { 4, 8, 10, 12, 18, 19, 21, 25, 27 }, { 6, 7, 11, 13, 15, 17, 21, 25, 27 }, { 2, 3, 7, 9, 14, 15, 17, 24, 26 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 4, 5, 7, 9, 12, 13, 22, 24, 25 }]; /*1load "AD7.m"; Loading "AD7.m" > od3:=od7; > 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 ] */ //blocks for design No.8 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, 15, 18, 20, 21, 23, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 7, 8, 16, 17, 19, 22, 24, 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, 7, 11, 13, 18, 19, 24, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 6, 8, 12, 14, 17, 20, 23, 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, 6, 11, 13, 16, 20, 22, 23 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 7, 12, 14, 15, 19, 21, 24 }, { 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, 13, 15, 17, 21, 25 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 3, 4, 12, 14, 16, 18, 22, 26 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 3, 4, 10, 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 } ]; //affine geom blocks in code blos:= [ { 3, 5, 6, 15, 16, 20, 21, 22, 23 }, { 1, 5, 9, 10, 12, 14, 15, 21, 27 }, { 1, 7, 8, 9, 13, 15, 20, 22, 26 }, { 1, 2, 7, 11, 12, 13, 14, 19, 24 }, { 9, 13, 14, 17, 18, 19, 21, 22, 23 }, { 3, 7, 8, 16, 17, 19, 22, 24, 25 }, { 1, 2, 6, 9, 15, 16, 17, 18, 24 }, { 10, 12, 13, 16, 17, 20, 21, 24, 26 }, { 2, 3, 6, 10, 12, 18, 19, 21, 25 }, { 4, 5, 6, 9, 12, 13, 22, 24, 25 }, { 1, 2, 3, 4, 5, 8, 10, 20, 24 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 4, 5, 11, 14, 16, 17, 23, 24, 27 }, { 4, 6, 8, 10, 13, 14, 15, 16, 19 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 2, 5, 8, 11, 13, 15, 17, 21, 25 }, { 1, 5, 7, 10, 13, 16, 18, 23, 25 }, { 2, 5, 8, 9, 12, 16, 19, 23, 26 }, { 2, 3, 9, 10, 11, 13, 16, 22, 27 }, { 2, 4, 6, 11, 13, 18, 20, 23, 26 }, { 3, 8, 12, 13, 15, 18, 23, 24, 27 }, { 2, 5, 6, 7, 8, 14, 18, 22, 27 }, { 2, 4, 7, 9, 14, 16, 20, 21, 25 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 1, 6, 8, 12, 14, 17, 20, 23, 25 }, { 3, 6, 8, 9, 11, 14, 21, 24, 26 }, { 1, 3, 4, 12, 14, 16, 18, 22, 26 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 1, 8, 11, 16, 18, 19, 20, 21, 27 }, { 2, 4, 12, 15, 17, 19, 20, 22, 27 }, { 4, 5, 7, 15, 18, 19, 21, 24, 26 }, { 2, 3, 7, 10, 14, 15, 17, 23, 26 }, { 1, 5, 6, 10, 11, 17, 19, 22, 26 }, { 1, 3, 4, 6, 7, 13, 17, 21, 27 }, { 4, 7, 8, 10, 11, 12, 21, 22, 23 }, { 1, 3, 4, 9, 11, 15, 19, 23, 25 }, { 3, 5, 7, 9, 11, 12, 17, 18, 20 } ]; /* > #cc; 111 > quit; Total time: 8.849 seconds > //blocks of Lam/Tonchev No.8 > 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, 15, 18, 20, 21, 23, 26 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 7, 8, 16, 17, 19, 22, 24, 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, 7, 11, 13, 18, 19, 24, 26 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 6, 8, 12, 14, 17, 20, 23, 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, 6, 11, 13, 16, 20, 22, 23 }, { 4, 8, 9, 10, 17, 18, 25, 26, 27 }, { 1, 5, 7, 12, 14, 15, 19, 21, 24 }, { 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, 13, 15, 17, 21, 25 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 1, 3, 4, 12, 14, 16, 18, 22, 26 }, { 2, 5, 8, 9, 14, 18, 19, 22, 23 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 1, 3, 4, 10, 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 } ] > //blocks of affine geom design in code > blos; [ { 1, 5, 6, 12, 14, 15, 20, 21, 23 }, { 2, 5, 6, 7, 8, 14, 18, 22, 27 }, { 1, 2, 7, 10, 15, 16, 17, 18, 23 }, { 1, 3, 4, 6, 7, 13, 17, 21, 27 }, { 1, 2, 3, 4, 5, 8, 10, 20, 24 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 9, 13, 14, 17, 18, 19, 21, 22, 23 }, { 1, 6, 8, 9, 11, 16, 18, 21, 24 }, { 3, 7, 8, 10, 11, 14, 21, 23, 26 }, { 2, 3, 6, 11, 13, 16, 20, 22, 23 }, { 3, 8, 9, 10, 16, 17, 22, 25, 27 }, { 4, 7, 8, 9, 13, 14, 15, 16, 20 }, { 4, 6, 8, 17, 18, 20, 23, 25, 26 }, { 1, 5, 13, 16, 18, 19, 20, 25, 27 }, { 2, 4, 6, 9, 12, 15, 17, 22, 24 }, { 1, 2, 6, 10, 19, 21, 22, 25, 26 }, { 2, 5, 8, 11, 13, 15, 17, 21, 25 }, { 1, 8, 13, 15, 22, 23, 24, 26, 27 }, { 1, 5, 7, 9, 11, 17, 20, 22, 26 }, { 6, 7, 11, 12, 15, 16, 25, 26, 27 }, { 2, 4, 7, 11, 13, 18, 19, 24, 26 }, { 4, 5, 6, 10, 11, 14, 16, 17, 19 }, { 6, 7, 9, 10, 19, 20, 23, 24, 27 }, { 3, 5, 7, 15, 16, 19, 21, 22, 24 }, { 3, 6, 8, 10, 12, 13, 15, 18, 19 }, { 2, 3, 14, 15, 17, 19, 20, 26, 27 }, { 4, 8, 11, 12, 19, 20, 21, 22, 27 }, { 10, 11, 14, 15, 18, 20, 22, 24, 25 }, { 10, 12, 13, 16, 17, 20, 21, 24, 26 }, { 1, 7, 8, 12, 14, 17, 19, 24, 25 }, { 2, 4, 14, 16, 21, 23, 24, 25, 27 }, { 4, 5, 9, 10, 15, 18, 21, 26, 27 }, { 2, 3, 7, 9, 12, 18, 20, 21, 25 }, { 1, 3, 4, 12, 14, 16, 18, 22, 26 }, { 2, 5, 8, 9, 12, 16, 19, 23, 26 }, { 4, 5, 7, 10, 12, 13, 22, 23, 25 }, { 1, 3, 4, 9, 11, 15, 19, 23, 25 }, { 1, 2, 9, 10, 11, 12, 13, 14, 27 }, { 3, 5, 6, 9, 13, 14, 24, 25, 26 } ] load "AD8.m"; Loading "AD8.m" > od3:=od8; > 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*/ //blocks of design no.9 ablox:= [ { 10, 11, 14, 16, 17, 19, 21, 23, 26 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 9, 12, 13, 15, 18, 20, 22, 24, 25 }, { 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, 10, 11, 14, 22, 24, 25 }, { 1, 2, 15, 16, 17, 18, 19, 20, 27 }, { 5, 7, 8, 9, 12, 13, 21, 23, 26 }, { 3, 4, 6, 9, 12, 13, 16, 17, 19 }, { 1, 2, 21, 22, 23, 24, 25, 26, 27 }, { 5, 7, 8, 10, 11, 14, 15, 18, 20 }, { 2, 6, 7, 11, 13, 17, 20, 23, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 1, 4, 8, 12, 14, 18, 19, 24, 26 }, { 2, 6, 7, 9, 14, 15, 19, 22, 26 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 4, 8, 10, 13, 16, 20, 21, 25 }, { 2, 3, 7, 13, 14, 16, 18, 21, 24 }, { 4, 5, 9, 11, 19, 20, 25, 26, 27 }, { 1, 6, 8, 10, 12, 15, 17, 22, 23 }, { 2, 5, 6, 10, 12, 16, 20, 24, 26 }, { 3, 8, 13, 14, 15, 19, 23, 25, 27 }, { 1, 4, 7, 9, 11, 17, 18, 21, 22 }, { 2, 4, 5, 12, 14, 15, 17, 21, 25 }, { 6, 8, 11, 13, 16, 18, 22, 26, 27 }, { 1, 3, 7, 9, 10, 19, 20, 23, 24 }, { 2, 4, 5, 10, 13, 18, 19, 22, 23 }, { 6, 8, 9, 14, 17, 20, 21, 24, 27 }, { 1, 3, 7, 11, 12, 15, 16, 25, 26 }, { 2, 3, 8, 11, 12, 19, 20, 21, 22 }, { 4, 7, 10, 13, 15, 17, 24, 26, 27 }, { 1, 5, 6, 9, 14, 16, 18, 23, 25 }, { 2, 3, 8, 9, 10, 17, 18, 25, 26 }, { 4, 7, 12, 14, 16, 20, 22, 23, 27 }, { 1, 5, 6, 11, 13, 15, 19, 21, 24 }, { 2, 4, 8, 9, 11, 15, 16, 23, 24 }, { 6, 7, 10, 12, 18, 19, 21, 25, 27 }, { 1, 3, 5, 13, 14, 17, 20, 22, 26 } ]; //aff geom design in code blos:= [ { 2, 3, 8, 13, 14, 15, 16, 23, 24 }, { 3, 5, 11, 12, 17, 18, 23, 24, 27 }, { 1, 3, 7, 13, 14, 17, 18, 21, 22 }, { 1, 5, 6, 10, 12, 17, 20, 22, 26 }, { 5, 7, 8, 15, 18, 20, 21, 23, 26 }, { 6, 8, 9, 14, 17, 20, 21, 24, 27 }, { 1, 2, 16, 17, 19, 22, 24, 25, 27 }, { 3, 4, 6, 15, 16, 17, 18, 19, 20 }, { 3, 4, 6, 9, 10, 11, 12, 13, 14 }, { 4, 7, 10, 13, 15, 17, 24, 26, 27 }, { 3, 4, 6, 21, 22, 23, 24, 25, 26 }, { 2, 3, 8, 9, 10, 17, 18, 25, 26 }, { 9, 12, 13, 15, 18, 20, 22, 24, 25 }, { 4, 7, 9, 11, 18, 19, 21, 25, 27 }, { 2, 6, 7, 11, 13, 17, 20, 23, 25 }, { 4, 7, 12, 14, 16, 20, 22, 23, 27 }, { 1, 2, 3, 4, 5, 6, 7, 8, 27 }, { 5, 7, 8, 10, 11, 14, 22, 24, 25 }, { 1, 4, 8, 10, 13, 16, 20, 21, 25 }, { 3, 5, 9, 10, 15, 16, 21, 22, 27 }, { 2, 4, 5, 10, 13, 18, 19, 22, 23 }, { 2, 3, 8, 11, 12, 19, 20, 21, 22 }, { 1, 2, 10, 11, 14, 15, 18, 20, 27 }, { 1, 4, 8, 12, 14, 18, 19, 24, 26 }, { 2, 4, 5, 9, 11, 16, 20, 24, 26 }, { 5, 7, 8, 9, 12, 13, 16, 17, 19 }, { 6, 8, 11, 13, 16, 18, 22, 26, 27 }, { 1, 5, 6, 9, 14, 16, 18, 23, 25 }, { 1, 4, 8, 9, 11, 15, 17, 22, 23 }, { 6, 8, 10, 12, 15, 19, 23, 25, 27 }, { 10, 11, 14, 16, 17, 19, 21, 23, 26 }, { 2, 6, 7, 10, 12, 16, 18, 21, 24 }, { 1, 3, 7, 11, 12, 15, 16, 25, 26 }, { 1, 2, 9, 12, 13, 21, 23, 26, 27 }, { 1, 5, 6, 11, 13, 15, 19, 21, 24 }, { 1, 3, 7, 9, 10, 19, 20, 23, 24 }, { 2, 4, 5, 12, 14, 15, 17, 21, 25 }, { 3, 5, 13, 14, 19, 20, 25, 26, 27 }, { 2, 6, 7, 9, 14, 15, 19, 22, 26 } ]; /* > dc:=descode(27,blos,3); > ac:=descode(27,ablox,3); > Dim(ac meet dc); 10 > WD(dc) eq wg; true > Dim(ac); 12*/