Extension: [7,7,1] to [51,7,18] Number of the matrices for extension:1 {self-orthogonal no} Number of ones to add in the first row in the generator matrix of the codes: 17 Weights: 18 27 36 45 Maximal number for proportional coordinates in the output codes:Till 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; The minimum distance of the dual codes is: 2 ======================== Start matrix 1 52 E 1111111111111111100000000000000000000000000010000001 0000000000000000000000000000000000000000000001000002 0000000000000000000000000000000000000000000000100003 0000000000000000000000000000000000000000000000010004 0000000000000000000000000000000000000000000000001005 0000000000000000000000000000000000000000000000000106 0000000000000000000000000000000000000000000000000017 ?7 51 3 _7 1 111111111111111110000000000000000000000000001000000 111111222222000002222222222222222222222200000100000 112200112200112201111111111122222222222020000010000 110022002211221101111222200012222222220222220001000 110010122211222001222222222211222222200222000000100 121122111000220022222122222221111112010111000000010 001200000012120000222022222200120000000000000000001 AUT: 23328 $1z^{0}+32z^{18}+434z^{27}+1704z^{36}+16z^{45} dd-2$\\ ?7 51 3 _7 2 111111111111111110000000000000000000000000001000000 111111222222000002222222222222222222222200000100000 112200112200112201111111111122222222222020000010000 110022002211221101111222200012222222220222220001000 110010122211222001222222222211222222200222000000100 121122111000220022222122222221111112010111000000010 111222002220101101000200000012122202220222000000001 AUT: 2592 $1z^{0}+34z^{18}+428z^{27}+1710z^{36}+14z^{45} dd-2$\\ ?7 51 3 _7 3 111111111111111110000000000000000000000000001000000 111111222222000002222222222222222222222200000100000 112200112200112201111111111122222222222020000010000 110022002211221101111222200012222222220222220001000 110010122211222001222222222211222222200222000000100 111222002220101101222222222212122222020222000000010 101100111222002221000200000012212220220222000000001 AUT: 10368 $1z^{0}+36z^{18}+422z^{27}+1716z^{36}+12z^{45} dd-2$\\ ?7 51 3 _7 4 111111111111111110000000000000000000000000001000000 111111222222000002222222222222222222222200000100000 112200112200112201111111111122222222222020000010000 110022002211221101111222200012222222220222220001000 110010122211222001222222222211222222200222000000100 111222002220101101222222222212122222020222000000010 101100111222002221222222222212212220220222000000001 AUT: 23328 $1z^{0}+50z^{18}+398z^{27}+1722z^{36}+16z^{45} dd-2$\\ ?7 51 3 _7 5 111111111111111110000000000000000000000000001000000 111111222222000002222222222222222222222200000100000 112200112200112201111111111122222222222020000010000 110022002211221101111222200012222222220222220001000 110010122211222001222222222211222222200222000000100 111222002220101101000200000012122222020222000000010 101100111222002221000200000012212220220222000000001 AUT: 11664 $1z^{0}+32z^{18}+434z^{27}+1704z^{36}+16z^{45} dd-2$\\ ?7 51 3 _7 6 111111111111111110000000000000000000000000001000000 111111222222000002222222222222222222222200000100000 112200112200112201111111111122222222222020000010000 110022002211221101111222200012222222220222220001000 110010122211222001000200000011222222200222000000100 111222002220101101000200000012122222020222000000010 101100111222002221000200000012212220220222000000001 AUT: 104976 $1z^{0}+38z^{18}+416z^{27}+1722z^{36}+10z^{45} dd-2$\\ ?7 51 3 _7 7 111111111111111110000000000000000000000000001000000 111111222222000002222222222222222222222200000100000 112200112200112201111111111122222222222020000010000 102012201210121021111222200012222222220222220001000 120102100221201211222111200021222222202221110000100 121020010212022111000111222222122222022222220000010 100221021201210121000000200022212220222220000000001 AUT: 7776 $1z^{0}+26z^{18}+452z^{27}+1686z^{36}+22z^{45} 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