Extension: [6,6,1] to [21,6,4] 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: 3 Weights: 4 8 12 16 20 Maximal number for proportional coordinates in the output codes:Till dimension 1--21; Till dimension 2--21; Till dimension 3--21; Till dimension 4--21; Till dimension 5--21; Till dimension 6--21; The minimum distance of the dual codes is: 2 ======================== Start matrix 1 22 E 1110000000000001000001 0000000000000000100002 0000000000000000010003 0000000000000000001004 0000000000000000000105 0000000000000000000016 ?6 21 4 _6 1 111000000000000100000 123333333333333010000 231112222233333001000 231231233312223000100 000000000001230000010 000000012300000000001 AUT: 559872 $1z^{0}+9z^{4}+27z^{8}+495z^{12}+3240z^{16}+324z^{20} dd-3$\\ ?6 21 4 _6 2 111000000000000100000 123333333333333010000 231112222233333001000 312201230033330000100 312020231033303000010 000000000012300000001 AUT: 165888 $1z^{0}+6z^{4}+18z^{8}+540z^{12}+3189z^{16}+342z^{20} dd-3$\\ ?6 21 4 _6 3 111000000000000100000 123333333333333010000 123122222333333001000 000033330123000000100 000033330000123000010 000012300000000000001 AUT: 248832 $1z^{0}+6z^{4}+54z^{8}+432z^{12}+3297z^{16}+306z^{20} dd-3$\\ ?6 21 4 _6 4 111000000000000100000 123333333333333010000 123122222333333001000 000033330123000000100 000012300000000000010 000000000000123000001 AUT: 497664 $1z^{0}+9z^{4}+54z^{8}+414z^{12}+3321z^{16}+297z^{20} dd-3$\\ ?6 21 4 _6 5 111000000000000100000 123333333333333010000 123122222333333001000 000012300000000000100 000000000123000000010 000000000000123000001 AUT: 2239488 $1z^{0}+12z^{4}+66z^{8}+408z^{12}+3285z^{16}+324z^{20} dd-2$\\ ?6 21 4 _6 6 111000000000000100000 123333333333333010000 312122333333333001000 123030123000000000100 123030000123000000010 123030000000123000001 AUT: 331776 $1z^{0}+3z^{4}+66z^{8}+414z^{12}+3309z^{16}+303z^{20} dd-3$\\ ?6 21 4 _6 7 111000000000000100000 123333333333333010000 123123333333333001000 000001230000000000100 000000001230000000010 000000000001230000001 AUT: 179159040 $1z^{0}+15z^{4}+90z^{8}+270z^{12}+3477z^{16}+243z^{20} dd-3$\\ ?6 21 4 _6 8 111000000000000100000 123333333330000010000 123112233303000001000 123132312033000000100 000000000000333000010 000000000000123000001 AUT: 7464960 $1z^{0}+18z^{4}+54z^{8}+360z^{12}+3393z^{16}+270z^{20} dd-3$\\ ?6 21 4 _6 9 111000000000000100000 123333333330000010000 123112233303000001000 000000012300000000100 000000000000333000010 000000000000123000001 AUT: 7464960 $1z^{0}+21z^{4}+102z^{8}+390z^{12}+3177z^{16}+405z^{20} dd-2$\\ ?6 21 4 _6 10 111000000000000100000 123333333330000010000 312233330003330001000 123322002202203000100 123320202022023000010 000020020220223000001 AUT: 96768 $1z^{0}+3z^{4}+21z^{8}+549z^{12}+3174z^{16}+348z^{20} dd-3$\\ ?6 21 4 _6 11 111000000000000100000 123333333330000010000 312233330003330001000 123322002202203000100 123320202022023000010 123320020220223000001 AUT: 331776 $1z^{0}+3z^{4}+18z^{8}+558z^{12}+3165z^{16}+351z^{20} dd-3$\\ ?6 21 4 _6 12 111000000000000100000 123333333330000010000 123333330003330001000 123333003303303000100 123330303033033000010 000300030330333000001 AUT: 1548288 $1z^{0}+3z^{4}+42z^{8}+486z^{12}+3237z^{16}+327z^{20} dd-3$\\ ?6 21 4 _6 13 111000000000000100000 123333333330000010000 123333330003330001000 123333003303303000100 123330303033033000010 123330030330333000001 AUT: 1451520 $1z^{0}+3z^{4}+45z^{8}+525z^{12}+3150z^{16}+372z^{20} dd-2$\\ ?6 21 4 _6 14 111000000000000100000 000333333333330010000 000112233333303001000 000132312333033000100 000132333120333000010 123000000000000000001 AUT: 9953280 $1z^{0}+15z^{4}+18z^{8}+486z^{12}+3261z^{16}+315z^{20} dd-3$\\ ?6 21 4 _6 15 111000000000000100000 000333333333330010000 000112233333303001000 000132312333033000100 000313212330333000010 123000000000000000001 AUT: 2903040 $1z^{0}+15z^{4}+21z^{8}+525z^{12}+3174z^{16}+360z^{20} dd-2$\\ ?6 21 4 _6 16 111000000000000100000 000333333300000010000 000112233030000001000 000332211003000000100 123000000000000000010 000000000000333000001 AUT: 4665600 $1z^{0}+18z^{4}+90z^{8}+828z^{12}+2349z^{16}+810z^{20} dd-2$\\ ?6 21 4 _6 17 111000000000000100000 000333333300000010000 000333300033300001000 000330033033030000100 000003333033003000010 123000000000000000001 AUT: 2903040 $1z^{0}+15z^{4}+42z^{8}+798z^{12}+2565z^{16}+675z^{20} dd-2$\\ ?6 21 4 _6 18 111000000000000100000 123000000000000010000 000333000000000001000 000000333000000000100 000000000333000000010 000000000000333000001 AUT: 11197440 $1z^{0}+27z^{4}+234z^{8}+918z^{12}+1701z^{16}+1215z^{20} dd-2$\\ DIFFERENT ENUMERATORS :18 ALL CODES: 18 1 1 AUT: 559872 $1z^{0}+9z^{4}+27z^{8}+495z^{12}+3240z^{16}+324z^{20} dd-3$\\ 2 1 AUT: 165888 $1z^{0}+6z^{4}+18z^{8}+540z^{12}+3189z^{16}+342z^{20} dd-3$\\ 3 1 AUT: 248832 $1z^{0}+6z^{4}+54z^{8}+432z^{12}+3297z^{16}+306z^{20} dd-3$\\ 4 1 AUT: 497664 $1z^{0}+9z^{4}+54z^{8}+414z^{12}+3321z^{16}+297z^{20} dd-3$\\ 5 1 AUT: 2239488 $1z^{0}+12z^{4}+66z^{8}+408z^{12}+3285z^{16}+324z^{20} dd-2$\\ 6 1 AUT: 331776 $1z^{0}+3z^{4}+66z^{8}+414z^{12}+3309z^{16}+303z^{20} dd-3$\\ 7 1 AUT: 179159040 $1z^{0}+15z^{4}+90z^{8}+270z^{12}+3477z^{16}+243z^{20} dd-3$\\ 8 1 AUT: 7464960 $1z^{0}+18z^{4}+54z^{8}+360z^{12}+3393z^{16}+270z^{20} dd-3$\\ 9 1 AUT: 7464960 $1z^{0}+21z^{4}+102z^{8}+390z^{12}+3177z^{16}+405z^{20} dd-2$\\ 10 1 AUT: 96768 $1z^{0}+3z^{4}+21z^{8}+549z^{12}+3174z^{16}+348z^{20} dd-3$\\ 11 1 AUT: 331776 $1z^{0}+3z^{4}+18z^{8}+558z^{12}+3165z^{16}+351z^{20} dd-3$\\ 12 1 AUT: 1548288 $1z^{0}+3z^{4}+42z^{8}+486z^{12}+3237z^{16}+327z^{20} dd-3$\\ 13 1 AUT: 1451520 $1z^{0}+3z^{4}+45z^{8}+525z^{12}+3150z^{16}+372z^{20} dd-2$\\ 14 1 AUT: 9953280 $1z^{0}+15z^{4}+18z^{8}+486z^{12}+3261z^{16}+315z^{20} dd-3$\\ 15 1 AUT: 2903040 $1z^{0}+15z^{4}+21z^{8}+525z^{12}+3174z^{16}+360z^{20} dd-2$\\ 16 1 AUT: 4665600 $1z^{0}+18z^{4}+90z^{8}+828z^{12}+2349z^{16}+810z^{20} dd-2$\\ 17 1 AUT: 2903040 $1z^{0}+15z^{4}+42z^{8}+798z^{12}+2565z^{16}+675z^{20} dd-2$\\ 18 1 AUT: 11197440 $1z^{0}+27z^{4}+234z^{8}+918z^{12}+1701z^{16}+1215z^{20} dd-2$\\