Extension: [48,7,18] to [51,8,18] Number of the matrices for extension:17 Weights: 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--51; Till dimension 2--51; Till dimension 3--51; Till dimension 4--51; Till dimension 5--51; Till dimension 6--51; Till dimension 7--51; Till dimension 8--51; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 51 1 111111111111111110000000000000000000000000010000000 222222111111000002222222222222222222222200001000000 221100221100221102222222222211111111111020000100000 220011001122112202222222221022222222221220000010000 102222221022222212100000000022222222200000000001000 002100000021210000021000000022222222200000000000100 000021210000002100000210000022222222200000000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 2 111111111111111110000000000000000000000000010000000 222222111111000002222222222222222222222200001000000 221100221100221102222222222211111111111020000100000 212010201021102122222222221022222222221220000010000 201021011220120212222222102221111111111220000001000 210201021012011222222210222222222222221220000000100 200112101202212012221022222220000000001220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 3 111111111111111110000000000000000000000000010000000 222222111111000002222222222222222222222200001000000 221100221100221102222222222211111111111020000100000 212010201021102122222222221022222222221220000010000 201021011220120212222222102221111111111220000001000 210201021012011222222210222222222222221220000000100 200112101202212012221022222222222222221220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 4 111111111111111110000000000000000000000000010000000 222222111111000002222222222222222222222200001000000 221100221100221102222222222211111111111020000100000 212010201021102122222222221022222222221220000010000 210201021012011222222222102222222222221220000001000 201021011220120212222210222222222222221220000000100 200112101202212012221022222222222222221220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 5 111111111111111110000000000000000000000000010000000 222222111111000002222222222222222222222200001000000 221100221100221102222222222222222222211020000100000 212010201021102122222222222222222221021220000010000 210201021012011222222222222222222102221220000001000 201021011220120212222222222222210222221220000000100 200112101202212012222222222221022222221220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 6 111111111111111110000000000000000000000000010000000 222222222222111002222222222222222222200000001000000 222222222111222002221111111111111110022000000100000 222222222111222002102222222222111102121000000010000 222111000111222000002222222220111000000220000001000 210210210222111000002222222220222000000210000000100 000000000210210210002222222220210000000000000000010 000000000000000000000000000000000000000001100000001 ?8 51 3 8888886_8 1 111111111111111110000000000000000000000000010000000 222222222222111002222222222222222222200000001000000 222222222111222002221111111111111110022000000100000 222222222111222002102222222222111102121000000010000 222111000111222000002222222220111000000220000001000 210210210222111000002222222220222000000210000000100 000000000210210210002222222220210000000000000000010 222222222000000000001112220000000000000001100000001 AUT: 5184 $1z^{0}+102z^{18}+1250z^{27}+5208z^{36} dd-2$\\ Start matrix 1 8 51 7 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 111111222222000002222222222220000002200000000001000 111222111222000002222221111110000000022000000000100 000222222000222002221110000000000000000220000000010 000000000000000000000000000000000000000001100000001 ?8 51 3 8888887_8 2 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 111111222222000002222222222220000002200000000001000 111222111222000002222221111110000000022000000000100 000222222000222002221110000000000000000220000000010 000222222000222000000002221110000000000001100000001 AUT: 384 $1z^{0}+116z^{18}+1910z^{27}+3846z^{36}+688z^{45} dd-2$\\ Start matrix 1 8 51 8 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 111111222222000002222222222220000002200000000001000 111222111222000002222221111110000000022000000000100 222111111222000001112221112220000000000220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 9 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 111111222222000002222222222220000002200000000001000 222000222000222001110002220000000000022000000000100 222000222000222000001110002220000000000220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 10 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 222222111222222002221110002220000002200000000001000 222222222111222002220001112220000000022000000000100 000000222222222000002222220000000000000220000000010 000000000000000000000000000000000000000001100000001 ?8 51 3 88888810_8 3 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 222222111222222002221110002220000002200000000001000 222222222111222002220001112220000000022000000000100 000000222222222000002222220000000000000220000000010 000000222222222002220000002220000000000001100000001 AUT: 1152 $1z^{0}+116z^{18}+1910z^{27}+3846z^{36}+688z^{45} dd-2$\\ Start matrix 1 8 51 11 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 222222111222222002221110002220000002200000000001000 222222222111222002220001112220000000022000000000100 000000222222222002220000002220000000000220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 12 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 222222111222222002221110002220000002200000000001000 222222222111222002220001112220000000022000000000100 111222000000000000002222222220000000000220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 13 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 111222000000000000002222222220000002200000000001000 000222111000000001112220002220000000022000000000100 222000222000222001110002220000000000000220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 14 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 111222000000000000002222222220000002200000000001000 000222111000000001112220002220000000022000000000100 000222000111000001110002222220000000000220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 15 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 222111111222000002221112221110000220000000000010000 111222000000000000002222222220000002200000000001000 222000111000000000001112222220000000022000000000100 222000000111000000002221112220000000000220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 16 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 111111222222000002222222222220000220000000000010000 111222111222000002222221111110000002200000000001000 000222222000222002221110000000000000022000000000100 000222222000222000000002221110000000000220000000010 000000000000000000000000000000000000000001100000001 Start matrix 1 8 51 17 111111111111111110000000000000000000000000010000000 222222111111000002222222222222200000000000001000000 222111222111000002222221111110022000000000000100000 111222222000111002220000000000000220000000000010000 222000000222222001112220000000000002200000000001000 000222222000222001112220000000000000022000000000100 000111111222222000002220000000000000000220000000010 000000000000000000000000000000000000000001100000001 DIFFERENT ENUMERATORS :3 ALL CODES: 3 1 1 AUT: 5184 $1z^{0}+102z^{18}+1250z^{27}+5208z^{36} dd-2$\\ 2 1 AUT: 384 $1z^{0}+116z^{18}+1910z^{27}+3846z^{36}+688z^{45} dd-2$\\ 3 1 AUT: 1152 $1z^{0}+116z^{18}+1910z^{27}+3846z^{36}+688z^{45} dd-2$\\