Extension: [51,8,18] to [53,9,18] Number of the matrices for extension:3 Weights: 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; Till dimension 9--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 9 53 1 11111111111111111000000000000000000000000000100000000 22222222222211100222222222222222222220000000010000000 22222222211122200222111111111111111002200000001000000 22222222211122200210222222222211110212100000000100000 22211100011122200000222222222011100000022000000010000 21021021022211100000222222222022200000021000000001000 00000000021021021000222222222021000000000000000000100 22222222200000000000222111000000000000000110000000010 00000000000000000000000000000000000000000001000000001 Start matrix 1 9 53 2 11111111111111111000000000000000000000000000100000000 22222211111100000222222222222220000000000000010000000 22211122211100000222222111111002200000000000001000000 22211111122200000222111222111000022000000000000100000 11111122222200000222222222222000000220000000000010000 11122211122200000222222111111000000002200000000001000 00022222200022200222111000000000000000022000000000100 00022222200022200000000222111000000000000110000000010 00000000000000000000000000000000000000000001000000001 ?9 53 3 99999992_9 1 11111111111111111000000000000000000000000000100000000 22222211111100000222222222222220000000000000010000000 22211122211100000222222111111002200000000000001000000 22211111122200000222111222111000022000000000000100000 11111122222200000222222222222000000220000000000010000 11122211122200000222222111111000000002200000000001000 00022222200022200222111000000000000000022000000000100 00022222200022200000000222111000000000000110000000010 12012012012012012120120120120121212121212121000000001 AUT: 5038848 $1z^{0}+116z^{18}+1910z^{27}+16968z^{36}+688z^{45} dd-2$\\ Start matrix 1 9 53 3 11111111111111111000000000000000000000000000100000000 22222211111100000222222222222220000000000000010000000 22211122211100000222222111111002200000000000001000000 22211111122200000222111222111000022000000000000100000 22222211122222200222111000222000000220000000000010000 22222222211122200222000111222000000002200000000001000 00000022222222200000222222000000000000022000000000100 00000022222222200222000000222000000000000110000000010 00000000000000000000000000000000000000000001000000001 ?9 53 3 99999993_9 2 11111111111111111000000000000000000000000000100000000 22222211111100000222222222222220000000000000010000000 22211122211100000222222111111002200000000000001000000 22211111122200000222111222111000022000000000000100000 22222211122222200222111000222000000220000000000010000 22222222211122200222000111222000000002200000000001000 00000022222222200000222222000000000000022000000000100 00000022222222200222000000222000000000000110000000010 12012012012012012120120120120121212121212121000000001 AUT: 15116544 $1z^{0}+116z^{18}+1910z^{27}+16968z^{36}+688z^{45} dd-2$\\ DIFFERENT ENUMERATORS :2 ALL CODES: 2 1 1 AUT: 5038848 $1z^{0}+116z^{18}+1910z^{27}+16968z^{36}+688z^{45} dd-2$\\ 2 1 AUT: 15116544 $1z^{0}+116z^{18}+1910z^{27}+16968z^{36}+688z^{45} dd-2$\\