Extension: [37,7,9] to [48,8,9] Number of the matrices for extension:1 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--48; Till dimension 2--48; Till dimension 3--48; Till dimension 4--48; Till dimension 5--48; Till dimension 6--48; Till dimension 7--48; Till dimension 8--48; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 48 1 111111110000000000000000000000000000000010000000 222111002200000000000000000000000000000001000000 210210212100000000000000000000000000000000100000 000000000022222222000000000000000000000000010000 000000000022211100220000000000000000000000001000 000000000000000000002222222200000000000000000100 000000000000000000002221110022000000000000000010 000000000000000000000000000000111111111100000001 ?8 48 3 8888881_8 1 111111110000000000000000000000000000000010000000 222111002200000000000000000000000000000001000000 210210212100000000000000000000000000000000100000 000000000022222222000000000000000000000000010000 000000000022211100220000000000000000000000001000 000000000000000000002222222200000000000000000100 000000000000000000002221110022000000000000000010 000000000012012012121201201212111111111100000001 AUT: 8384643072 $1z^{0}+42z^{9}+480z^{18}+1826z^{27}+4212z^{36} dd-2$\\ DIFFERENT ENUMERATORS :1 ALL CODES: 1 1 1 AUT: 8384643072 $1z^{0}+42z^{9}+480z^{18}+1826z^{27}+4212z^{36} dd-2$\\ Extension: [38,7,9] to [48,8,9] Number of the matrices for extension:3 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--48; Till dimension 2--48; Till dimension 3--48; Till dimension 4--48; Till dimension 5--48; Till dimension 6--48; Till dimension 7--48; Till dimension 8--48; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 48 1 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 222111002220000000000222222220000000000000001000 222111002220000000000222111002200000000000000100 000000000000000000000210210212100000000000000010 000000000000000000000000000000011111111100000001 ?8 48 3 8888881_8 1 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 222111002220000000000222222220000000000000001000 222111002220000000000222111002200000000000000100 000000000000000000000210210212100000000000000010 120120121200000000000000000000011111111100000001 AUT: 26873856 $1z^{0}+18z^{9}+372z^{18}+2114z^{27}+4056z^{36} dd-2$\\ Start matrix 1 8 48 2 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 210210212100000000000000000000000000000000001000 000000000000000000000222222220000000000000000100 000000000000000000000222111002200000000000000010 000000000000000000000000000000011111111100000001 ?8 48 3 8888882_8 2 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 210210212100000000000000000000000000000000001000 000000000000000000000222222220000000000000000100 000000000000000000000222111002200000000000000010 000000000000000000000120120121211111111100000001 AUT: 644972544 $1z^{0}+24z^{9}+372z^{18}+2096z^{27}+4068z^{36} dd-2$\\ ?8 48 3 8888882_8 3 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 210210212100000000000000000000000000000000001000 000000000000000000000222222220000000000000000100 000000000000000000000222111002200000000000000010 222111002220000000000120120121211111111100000001 AUT: 322486272 $1z^{0}+24z^{9}+354z^{18}+2132z^{27}+4050z^{36} dd-2$\\ Start matrix 1 8 48 3 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 000000000000000000000222222220000000000000001000 000000000000000000000222111002200000000000000100 000000000000000000000210210212100000000000000010 000000000000000000000000000000011111111100000001 ?8 48 3 8888883_8 4 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 000000000000000000000222222220000000000000001000 000000000000000000000222111002200000000000000100 000000000000000000000210210212100000000000000010 120120121200000000000000000000011111111100000001 AUT: 349360128 $1z^{0}+36z^{9}+336z^{18}+2132z^{27}+4056z^{36} dd-2$\\ DIFFERENT ENUMERATORS :4 ALL CODES: 4 1 1 AUT: 26873856 $1z^{0}+18z^{9}+372z^{18}+2114z^{27}+4056z^{36} dd-2$\\ 2 1 AUT: 644972544 $1z^{0}+24z^{9}+372z^{18}+2096z^{27}+4068z^{36} dd-2$\\ 3 1 AUT: 322486272 $1z^{0}+24z^{9}+354z^{18}+2132z^{27}+4050z^{36} dd-2$\\ 4 1 AUT: 349360128 $1z^{0}+36z^{9}+336z^{18}+2132z^{27}+4056z^{36} dd-2$\\ Extension: [39,7,9] to [48,8,9] Number of the matrices for extension:7 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--48; Till dimension 2--48; Till dimension 3--48; Till dimension 4--48; Till dimension 5--48; Till dimension 6--48; Till dimension 7--48; Till dimension 8--48; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 48 1 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000002222222220222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000000000000000001111111100000001 ?8 48 3 8888881_8 1 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000002222222220222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000000000000000001111111100000001 AUT: 3359232 $1z^{0}+8z^{9}+240z^{18}+2408z^{27}+3904z^{36} dd-2$\\ ?8 48 3 8888881_8 2 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000002222222220222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000222222222000001111111100000001 AUT: 419904 $1z^{0}+6z^{9}+246z^{18}+2402z^{27}+3906z^{36} dd-2$\\ Start matrix 1 8 48 2 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000000000000000001111111100000001 ?8 48 3 8888882_8 3 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000000000000000001111111100000001 AUT: 6718464 $1z^{0}+14z^{9}+240z^{18}+2390z^{27}+3916z^{36} dd-2$\\ ?8 48 3 8888882_8 4 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000222222222000001111111100000001 AUT: 3359232 $1z^{0}+12z^{9}+246z^{18}+2384z^{27}+3918z^{36} dd-2$\\ ?8 48 3 8888882_8 5 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000002222222220000000000000001111111100000001 AUT: 1119744 $1z^{0}+12z^{9}+228z^{18}+2420z^{27}+3900z^{36} dd-2$\\ Start matrix 1 8 48 3 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000002102102100000000000021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000000000000000001111111100000001 ?8 48 3 8888883_8 6 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000002102102100000000000021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000000000000000001111111100000001 AUT: 53747712 $1z^{0}+20z^{9}+240z^{18}+2372z^{27}+3928z^{36} dd-2$\\ ?8 48 3 8888883_8 7 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000002102102100000000000021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000000000000000222222222000001111111100000001 AUT: 13436928 $1z^{0}+18z^{9}+228z^{18}+2402z^{27}+3912z^{36} dd-2$\\ ?8 48 3 8888883_8 8 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000002102102100000000000021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000210210210000210000000000000010 000000002222222220222222222000001111111100000001 AUT: 13436928 $1z^{0}+18z^{9}+210z^{18}+2438z^{27}+3894z^{36} dd-2$\\ Start matrix 1 8 48 4 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222222111100022200000000000100000 201012122222222222210210021121100000000000010000 012201122211000000000002201102220000000000001000 012201121020210000000002201102210000000000000100 000000000000002100000002102102100000000000000010 000000000000000000000000000000001111111100000001 Extension: [45,7,9] to [48,8,9] Number of the matrices for extension:11 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--48; Till dimension 2--48; Till dimension 3--48; Till dimension 4--48; Till dimension 5--48; Till dimension 6--48; Till dimension 7--48; Till dimension 8--48; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 48 1 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 111222002222221111112222220000220000000000010000 111222001111112222222222220000002200000000001000 000000002221110000000000000000000022000000000100 000000000000002221110000000000000000220000000010 000000000000000000000000000000000000001100000001 ?8 48 3 8888881_8 1 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 111222002222221111112222220000220000000000010000 111222001111112222222222220000002200000000001000 000000002221110000000000000000000022000000000100 000000000000002221110000000000000000220000000010 000000000000000000001112220000000000001100000001 AUT: 248832 $1z^{0}+8z^{9}+264z^{18}+2552z^{27}+3544z^{36}+192z^{45} dd-2$\\ Start matrix 1 8 48 2 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 111222002222221111112222220000220000000000010000 222111001110002220002220000000002200000000001000 222111001110000002220002220000000022000000000100 222111000001112220000002220000000000220000000010 000000000000000000000000000000000000001100000001 ?8 48 3 8888882_8 2 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 111222002222221111112222220000220000000000010000 222111001110002220002220000000002200000000001000 222111001110000002220002220000000022000000000100 222111000001112220000002220000000000220000000010 222111000001110002222220000000000000001100000001 AUT: 67392 $1z^{0}+2z^{9}+234z^{18}+2678z^{27}+3406z^{36}+240z^{45} dd-2$\\ Start matrix 1 8 48 3 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 111222002222221111112222220000220000000000010000 000000002221110000000000000000002200000000001000 000000000000002221110000000000000022000000000100 000000000000000000002221110000000000220000000010 000000000000000000000000000000000000001100000001 Start matrix 1 8 48 4 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 222111002221110000002220000000220000000000010000 222111001112220000000002220000002200000000001000 000000000002222222222221110000000022000000000100 000000000000002221110000000000000000220000000010 000000000000000000000000000000000000001100000001 ?8 48 3 8888884_8 3 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 222111002221110000002220000000220000000000010000 222111001112220000000002220000002200000000001000 000000000002222222222221110000000022000000000100 000000000000002221110000000000000000220000000010 000000002220002222221112220000000000001100000001 AUT: 103680 $1z^{0}+4z^{9}+244z^{18}+2636z^{27}+3452z^{36}+224z^{45} dd-2$\\ Start matrix 1 8 48 5 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 222111002221110000002220000000220000000000010000 222111001112220000000002220000002200000000001000 000000000002222222222221110000000022000000000100 000000002220002222221112220000000000220000000010 000000000000000000000000000000000000001100000001 Start matrix 1 8 48 6 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 210210212222111100022200000000000000000000100000 021102212100221021122100000000000000000000010000 000000000021210002121000000000000000000000001000 000000000000000000000022222222000000000000000100 000000000000000000000000000000222222220000000010 000000000000000000000000000000000000001100000001 ?8 48 3 8888886_8 4 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 210210212222111100022200000000000000000000100000 021102212100221021122100000000000000000000010000 000000000021210002121000000000000000000000001000 000000000000000000000022222222000000000000000100 000000000000000000000000000000222222220000000010 000000000000000000000000000000111222001100000001 AUT: 161243136 $1z^{0}+16z^{9}+304z^{18}+2384z^{27}+3728z^{36}+128z^{45} dd-2$\\ Start matrix 1 8 48 7 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 111222002222220000000222220000000000000000010000 111222002222220000000111002200000000000000001000 000000002221110000000000000022000000000000000100 000000000000000000000000000000222222220000000010 000000000000000000000000000000000000001100000001 ?8 48 3 8888887_8 5 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 111222002222220000000222220000000000000000010000 111222002222220000000111002200000000000000001000 000000002221110000000000000022000000000000000100 000000000000000000000000000000222222220000000010 000000000000 Extension: [46,7,9] to [48,8,9] Number of the matrices for extension:18 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--48; Till dimension 2--48; Till dimension 3--48; Till dimension 4--48; Till dimension 5--48; Till dimension 6--48; Till dimension 7--48; Till dimension 8--48; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 48 1 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 222111002222222221111110000022222000000000100000 222111002221110002221112220022200220000000010000 222111002221112220002221110022200002200000001000 222111002222221112220001110022200000022000000100 210210212100000000000000000000000000000000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 2 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 222111002222222221111110000022222000000000100000 222111002222221112220001110022200220000000010000 111222001111112220002221110022200002200000001000 111222001111110002221112220022200000022000000100 210210212100000000000000000000000000000000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 3 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 222111002222222221111110000022222000000000100000 111222002222221112222221110000000220000000010000 111222001111111112222220000022200002200000001000 222111002221112220000000000000000000022000000100 210210210000002100000000000000000000000000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 4 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 222111002222222221111110000022222000000000100000 111222002222221112222221110000000220000000010000 111222001111111112222220000022200002200000001000 210210210000002100000000000000000000000000000100 000000002221110000000000000000000000022000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 5 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 222111002222222221111110000022222000000000100000 111222002222221112222221110000000220000000010000 222111001111112222222220000022200002200000001000 222111002221112220000000000000000000022000000100 210210210000002100000000000000000000000000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 6 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 222111002222222221111110000022222000000000100000 222111002222222222222221110000000220000000010000 111222001111111112222220000022200002200000001000 222111002222221110000000000000000000022000000100 210210212100000000000000000000000000000000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 7 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 222111002222222221111110000022222000000000100000 222111002222222222222221110000000220000000010000 111222001111111112222220000022200002200000001000 210210212100000000000000000000000000000000000100 000000000022211100000000000000000000022000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 8 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 222111002222222221111110000022222000000000100000 222111002222222222222221110000000220000000010000 111222001111111112222220000022200002200000001000 210210212100000000000000000000000000000000000100 000000000000000002221110000000000000022000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 9 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 222111002220000000000222222220000000000000001000 222111002220000000000222111002200000000000000100 000000000000000000000000000000022222222000000010 000000000000000000000000000000000000000100000001 ?8 48 3 8888889_8 1 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 222111002220000000000222222220000000000000001000 222111002220000000000222111002200000000000000100 000000000000000000000000000000022222222000000010 120120121200000000000120120121200000000100000001 AUT: 6718464 $1z^{0}+14z^{9}+240z^{18}+2390z^{27}+3916z^{36} dd-2$\\ Start matrix 1 8 48 10 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 222111002220000000000222222220000000000000001000 222111002220000000000222111002200000000000000100 222111002220000000000000000000022222222000000010 000000000000000000000000000000000000000100000001 ?8 48 3 88888810_8 2 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 222111002220000000000222222220000000000000001000 222111002220000000000222111002200000000000000100 222111002220000000000000000000022222222000000010 120120121200000000000120120121200000000100000001 AUT: 3359232 $1z^{0}+12z^{9}+246z^{18}+2384z^{27}+3918z^{36} dd-2$\\ Start matrix 1 8 48 11 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 222111002220000000000222222220000000000000001000 000000000000000000000000000002222222200000000100 000000000000000000000000000002221110022000000010 000000000000000000000000000000000000000100000001 ?8 48 3 88888811_8 3 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 222111002220000000000222222220000000000000001000 000000000000000000000000000002222222200000000100 000000000000000000000000000002221110022000000010 120120121200000000000000000001201201212100000001 AUT: 13436928 $1z^{0}+18z^{9}+228z^{18}+2402z^{27}+3912z^{36} dd-2$\\ Start matrix 1 8 48 12 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 000000000000000000000222222220000000000000001000 000000000000000000000222111002200000000000000100 000000000000000000000000000000022222222000000010 000000000000000000000000000000000000000100000001 ?8 48 3 88888812_8 4 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002222102102121000000000000000000000010000 000000000000000000000222222220000000000000001000 000000000000000000000222111002200000000000000100 000000000000000000000000000000022222222000000010 120120121200000000000120120121200000000100000001 AUT: 53747712 $1z^{0}+20z^{9}+240z^{18}+2372z^{27}+3928z^{36} dd-2$\\ Start matrix 1 8 48 13 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002220000000000222222220000000000000010000 000000000000000000000000000002222222200000001000 000000000000000000000000000002221110022000000100 000000000000000000000000000002102102121000000010 000000000000000000000000000000000000000100000001 ?8 48 3 88888813_8 5 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 222111002220000000000222222220000000000000010000 000000000000000000000000000002222222200000001000 000000000000000000000000000002221110022000000100 000000000000000000000000000002102102121000000010 120120121201201201212000000000000000000100000001 AUT: 87340032 $1z^{0}+30z^{9}+192z^{18}+2438z^{27}+3900z^{36} dd-2$\\ Start matrix 1 8 48 14 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 000000000000000000000222222220000000000000010000 000000000000000000000222111002200000000000001000 000000000000000000000210210212100000000000000100 000000000000000000000000000000022222222000000010 000000000000000000000000000000000000000100000001 ?8 48 3 88888814_8 6 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002222221110022000000000000000000000100000 000000000000000000000222222220000000000000010000 000000000000000000000222111002200000000000001000 000000000000000000000210210212100000000000000100 000000000000000000000000000000022222222000000010 120120121122001201212000000000000000000100000001 AUT: 698720256 $1z^{0}+32z^{9}+240z^{18}+2336z^{27}+3952z^{36} dd-2$\\ Start matrix 1 8 48 15 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 210210212222222222100000000000000000000000100000 000000000000000000022222222000000000000000010000 000000000000000000022211100220000000000000001000 000000000000000000000000000002222222200000000100 000000000000000000000000000002221110022000000010 000000000000000000000000000000000000000100000001 ?8 48 3 88888815_8 7 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 210210212222222222100000000000000000000000100000 000000000000000000022222222000000000000000010000 000000000000000000022211100220000000000000001000 000000000000000000000000000002222222200000000100 000000000000000000000000000002221110022000000010 000000000000000000012012012121201201212100000001 AUT: 644972544 $1z^{0}+24z^{9}+372z^{18}+2096z^{27}+4068z^{36} dd-2$\\ ?8 48 3 88888815_8 8 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 210210212222222222100000000000000000000000100000 000000000000000000022222222000000000000000010000 000000000000000000022211100220000000000000001000 000000000000000000000000000002222222200000000100 000000000000000000000000000002221110022000000010 000000002222222220012012012121201201212100000001 AUT: 322486272 $1z^{0}+24z^{9}+210z^{18}+2420z^{27}+3906z^{36} dd-2$\\ Start matrix 1 8 48 16 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 222111002220000000022222222000000000000000100000 111222000002222220011100000220000000000000010000 000000000000000000000000000002222222200000001000 000000000000000000000000000002221110022000000100 000000000000000000000000000002102102121000000010 000000000000000000000000000000000000000100000001 Start matrix 1 8 48 17 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 000000000000000000022222222000000000000000100000 000000000000000000022211100220000000000000010000 000000000000000000021021021210000000000000001000 000000000000000000000000000002222222200000000100 000000000000000000000000000002221110022000000010 000000000000000000000000000000000000000100000001 ?8 48 3 88888817_8 9 111111110000000000000000000000000000000010000000 222111002222222222200000000000000000000001000000 000000000000000000022222222000000000000000100000 000000000000000000022211100220000000000000010000 000000000000000000021021021210000000000000001000 000000000000000000000000000002222222200000000100 000000000000000000000000000002221110022000000010 120120121200000000000000000001201201212100000001 AUT: 349360128 $1z^{0}+36z^{9}+336z^{18}+2132z^{27}+4056z^{36} dd-2$\\ Start matrix 1 8 48 18 111111110000000000000000000000000000000010000000 000000002222222222222222200000000000000001000000 000000002222221111110000022222000000000000100000 000000002221112221110000000000222220000000010000 000000000002222222220000022200222002200000001000 222111000000000000000000000000000000022000000100 210210210000000000000000000000000000021000000010 000000000000000000000000000000000000000100000001 DIFFERENT ENUMERATORS :9 ALL CODES: 9 1 1 AUT: 6718464 $1z^{0}+14z^{9}+240z^{18}+2390z^{27}+3916z^{36} dd-2$\\ 2 1 AUT: 3359232 $1z^{0}+12z^{9}+246z^{18}+2384z^{27}+3918z^{36} dd-2$\\ 3 1 AUT: 13436928 $1z^{0}+18z^{9}+228z^{18}+2402z^{27}+3912z^{36} dd-2$\\ 4 1 AUT: 53747712 $1z^{0}+20z^{9}+240z^{18}+2372z^{27}+3928z^{36} dd-2$\\ 5 1 AUT: 87340032 $1z^{0}+30z^{9}+192z^{18}+2438z^{27}+3900z^{36} dd-2$\\ 6 1 AUT: 698720256 $1z^{0}+32z^{9}+240z^{18}+2336z^{27}+3952z^{36} dd-2$\\ 7 1 AUT: 644972544 $1z^{0}+24z^{9}+372z^{18}+2096z^{27}+4068z^{36} dd-2$\\ 8 1 AUT: 322486272 $1z^{0}+24z^{9}+210z^{18}+2420z^{27}+3906z^{36} dd-2$\\ 9 1 AUT: 349360128 $1z^{0}+36z^{9}+336z^{18}+2132z^{27}+4056z^{36} dd-2$\\ Extension: [47,7,9] to [48,8,9] Number of the matrices for extension:36 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--48; Till dimension 2--48; Till dimension 3--48; Till dimension 4--48; Till dimension 5--48; Till dimension 6--48; Till dimension 7--48; Till dimension 8--48; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 48 1 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220222222222022222222000000010000 000000001111111110222222222022211100220000001000 000000002222222220222222222021021021210000000100 000000002221110000000000000000000000002200000010 000000000000000000000000000000000000000000000001 ?8 48 3 8888881_8 1 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220222222222022222222000000010000 000000001111111110222222222022211100220000001000 000000002222222220222222222021021021210000000100 000000002221110000000000000000000000002200000010 000000001201201200000000000000000000001200000001 AUT: 1119744 $1z^{0}+12z^{9}+228z^{18}+2420z^{27}+3900z^{36} dd-2$\\ ?8 48 3 8888881_8 2 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220222222222022222222000000010000 000000001111111110222222222022211100220000001000 000000002222222220222222222021021021210000000100 000000002221110000000000000000000000002200000010 000000001201201200222222222000000000001200000001 AUT: 419904 $1z^{0}+6z^{9}+246z^{18}+2402z^{27}+3906z^{36} dd-2$\\ Start matrix 1 8 48 2 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220222222222022222222000000010000 000000001111111110222222222022211100220000001000 000000002222222220222222222021021021210000000100 000000002221110000222222222000000000002200000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 3 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220222222222022222222000000010000 000000001111111110222222222022211100220000001000 000000002221110000000000000000000000002200000100 000000002102102100000000000000000000002100000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 4 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220222222222022222222000000010000 000000002222222220222222222022211100220000001000 000000002222222220222222222021021021210000000100 000000002221110000000000000000000000002200000010 000000000000000000000000000000000000000000000001 ?8 48 3 8888884_8 3 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220222222222022222222000000010000 000000002222222220222222222022211100220000001000 000000002222222220222222222021021021210000000100 000000002221110000000000000000000000002200000010 000000001201201200000000000000000000001200000001 AUT: 13436928 $1z^{0}+18z^{9}+210z^{18}+2438z^{27}+3894z^{36} dd-2$\\ Start matrix 1 8 48 5 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000002222222220222111000000220000000000000100 000000000000000000000000000000002222222200000010 000000000000000000000000000000000000000000000001 ?8 48 3 8888885_8 4 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000002222222220222111000000220000000000000100 000000000000000000000000000000002222222200000010 000000000000000000120120120000120000000000000001 AUT: 3359232 $1z^{0}+8z^{9}+240z^{18}+2408z^{27}+3904z^{36} dd-2$\\ Start matrix 1 8 48 6 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000222222222000222222220000000100 000000000000000000000000000000222111002200000010 000000000000000000000000000000000000000000000001 ?8 48 3 8888886_8 5 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000222222222000222222220000000100 000000000000000000000000000000222111002200000010 000000000000000000000000000000120120121200000001 AUT: 3359232 $1z^{0}+12z^{9}+246z^{18}+2384z^{27}+3918z^{36} dd-2$\\ Start matrix 1 8 48 7 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000000000000000002222222200000010 000000000000000000000000000000000000000000000001 ?8 48 3 8888887_8 6 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000000000000000002222222200000010 000000000000000000120120120000120000000000000001 AUT: 6718464 $1z^{0}+14z^{9}+240z^{18}+2390z^{27}+3916z^{36} dd-2$\\ Start matrix 1 8 48 8 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000000000000000222222220000000100 000000000000000000000000000000222111002200000010 000000000000000000000000000000000000000000000001 ?8 48 3 8888888_8 7 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000002102102100222222222021000000000000001000 000000000000000000000000000000222222220000000100 000000000000000000000000000000222111002200000010 000000000000000000000000000000120120121200000001 AUT: 87340032 $1z^{0}+30z^{9}+192z^{18}+2438z^{27}+3900z^{36} dd-2$\\ Start matrix 1 8 48 9 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000000000000000222222222000222222220000001000 000000000000000000222222222000222111002200000100 000000000000000000000000000000210210212100000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 10 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000000000000000222111000000220000000000001000 000000000000000000210210210000210000000000000100 000000000000000000000000000000002222222200000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 11 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000222222222022000000000000010000 000000000000000000000000000000222222220000001000 000000000000000000000000000000222111002200000100 000000000000000000000000000000210210212100000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 12 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220000000000022222222000000010000 000000002222222220000000000022211100220000001000 000000002222222220000000000021021021210000000100 000000002221110000000000000000000000002200000010 000000000000000000000000000000000000000000000001 ?8 48 3 88888812_8 8 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220000000000022222222000000010000 000000002222222220000000000022211100220000001000 000000002222222220000000000021021021210000000100 000000002221110000000000000000000000002200000010 000000001201201200000000000000000000001200000001 AUT: 26873856 $1z^{0}+18z^{9}+372z^{18}+2114z^{27}+4056z^{36} dd-2$\\ Start matrix 1 8 48 13 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220000000000022222222000000010000 000000002222222220000000000022211100220000001000 000000002222222220000000000021021021210000000100 000000000000000000222111000000000000002200000010 000000000000000000000000000000000000000000000001 ?8 48 3 88888813_8 9 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220000000000022222222000000010000 000000002222222220000000000022211100220000001000 000000002222222220000000000021021021210000000100 000000000000000000222111000000000000002200000010 000000000000000000120120120000000000001200000001 AUT: 13436928 $1z^{0}+18z^{9}+228z^{18}+2402z^{27}+3912z^{36} dd-2$\\ Start matrix 1 8 48 14 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002222222220000000000022222222000000010000 000000002222222220000000000022211100220000001000 000000000000000000222111000000000000002200000100 000000000000000000210210210000000000002100000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 15 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000002102102100000000000021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000000000000000002222222200000010 000000000000000000000000000000000000000000000001 ?8 48 3 88888815_8 10 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000002102102100000000000021000000000000001000 000000000000000000222111000000220000000000000100 000000000000000000000000000000002222222200000010 000000000000000000120120120000120000000000000001 AUT: 53747712 $1z^{0}+20z^{9}+240z^{18}+2372z^{27}+3928z^{36} dd-2$\\ Start matrix 1 8 48 16 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000002102102100000000000021000000000000001000 000000000000000000000000000000222222220000000100 000000000000000000000000000000222111002200000010 000000000000000000000000000000000000000000000001 ?8 48 3 88888816_8 11 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000002102102100000000000021000000000000001000 000000000000000000000000000000222222220000000100 000000000000000000000000000000222111002200000010 000000000000000000000000000000120120121200000001 AUT: 349360128 $1z^{0}+36z^{9}+336z^{18}+2132z^{27}+4056z^{36} dd-2$\\ Start matrix 1 8 48 17 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222111111111100000000000000100000 000000002221110000000000000022000000000000010000 000000000000000000000000000000222222220000001000 000000000000000000000000000000222111002200000100 000000000000000000000000000000210210212100000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 18 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 222111002222222220002220000000222222220000010000 222111002222222220002220000000222111002200001000 222111002222222220002220000000210210212100000100 210210210000000000002100000000000000000000000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 19 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 222111000000000000002220000000222222220000010000 222111000000000000002220000000222111002200001000 222111000000000000002220000000210210212100000100 210210210000000000002100000000000000000000000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 20 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 222111000000000000002220000000222222220000010000 210210210000000000002100000000000000000000001000 000000002221110000000000000000000000002200000100 000000002102102100000000000000000000002100000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 21 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 210210210000000000002100000000000000000000010000 000000002221110000000000000000220000000000001000 000000002102102100000000000000210000000000000100 000000000000000000000000000000002222222200000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 22 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 111222002222222222221111110022000000000000100000 210210210000000000002100000000000000000000010000 000000000000000000000000000000222222220000001000 000000000000000000000000000000222111002200000100 000000000000000000000000000000210210212100000010 000000000000000000000000000000000000000000000001 Start matrix 1 8 48 23 111111110000000000000000000000000000000010000000 222111002222222222222222222200000000000001000000 210210212222222222222111100022200000000000100000 201012122222222222210210021121100000000000010000 012201122211000000000002201102220000000000001000 012201121020210000000002201102210000000000000100 000000000000000000000000000000002222222200000010 000000000000000000000000000000000000000000000001