Tables for codes over GF(4)TopGenerator matrices of distance optimal binary codesTables for ternary codes

Tables for ternary codes

Tnk3
n\k 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
111111111111111111111111
212222222222222222222222
313444444444444444444444
415899999999999999999999
516141819191919191919191919191919191919191919
619284348494949494949494949494949494949494949
711150100124130131131131131131131131131131131131131131 131131131131
811593261379416423424424424424424424424424424424424424 424424424424
9118169707133515901643165116521652165216521652165216521652 1652165216521652165216521652
101233032092585181178635870987188719871987198719871987198719 8719871987198719871987198719
11127533651432645607466871369715698146982469825698256982569825 698256982569825698256982569825698256982569825
1213493821440229485729722959887987850989730989861989872989873 989873989873989873989873989873989873989873989873989873989873 989873
131391610720501860199 13.025199 24.482391 26.480203 26.577702 26.581120 26.581288 26.581300 26.581301 26.581301 26.581301 26.581301 26.581301 26.581301 26.581301 26.581301 26.581301 26.581301 26.581301
141472734243986 15.919037 285.878088 1020.688265 1300.316359 1317.918782 1318.255962 1318.262029 1318.262242 1318.262255 1318.262256 1318.262256 1318.262256 1318.262256 1318.262256 1318.262256 1318.262256 1318.262256 1318.262256 1318.262256
151544574816955 135.905261 6645.522643 56751.872193 107323.072869 114096.643294 114249.092771 114250.239645 114250.250186 114250.250451 114250.250465 114250.250466 114250.250466 114250.250466 114250.250466 114250.250466 114250.250466 114250.250466 114250.250466 114250.250466
1616475382681994 1126.619627 152533.735126 3.518099.599655 13.197015.598546 16.606643.046369 16.764688.643987 16.765964.218716 16.765968.035526 16.765968.053488 16.765968.053815 16.765968.053830 16.765968.053831 16.765968.053831 16.765968.053831 16.765968.053831 16.765968.053831 16.765968.053831 16.765968.053831 16.765968.053831
1717212228 8.574244 8969.948489 3.367408.993176 220.310342.510601 2045.142116.262784 3876.287240.149329 4096.488393.999078 4100.003754.703750 4100.013988.978268 4100.014001.349620 4100.014001.379675 4100.014001.380072 4100.014001.380088 4100.014001.380089 4100.014001.380089 4100.014001.380089 4100.014001.380089 4100.014001.380089 4100.014001.380089 4100.014001.380089
1818419575 26.632106 68359.705538 70.921517.879331 13386.002602.891146 344077.662717.598760 1.318230.116491.666486 1.650535.978796.743220 1.664067.902596.560097 1.664142.262154.064317 1.664142.340712.850251 1.664142.340751.821978 1.664142.340751.871453 1.664142.340751.871932 1.664142.340751.871949 1.664142.340751.871950 1.664142.340751.871950 1.664142.340751.871950 1.664142.340751.871950 1.664142.340751.871950 1.664142.340751.871950
1919430857 80.264780 498600.141662 1422.989853.738409 778548.577758.074070 57.945586.308372.580033 557.921252.018784.083232 1058.540378.522854.946543 1116.026407.034689.517425 1116.816993.693235.496170 1116.818490.475713.523705 1116.818491.052765.573990 1116.818491.052884.760149 1116.818491.052884.840304 1116.818491.052884.840875 1116.818491.052884.840893 1116.818491.052884.840894 1116.818491.052884.840894 1116.818491.052884.840894 1116.818491.052884.840894 1116.818491.052884.840894
20110847994 234.784994 3.484797.531196 27227.228503.584542 43.203349.188324.043413 9458.247603.616574.960068 254935.089089.233689.439328 985746.613882.997881.574057 1.231666.907457.388452.410665 1.241138.660614.740633.562541 1.241182.625900.867746.403410 1.241182.654620.895410.607409 1.241182.654624.956945.169973 1.241182.654624.957299.062369 1.241182.654624.957299.190317 1.241182.654624.957299.190994 1.241182.654624.957299.191013 1.241182.654624.957299.191014 1.241182.654624.957299.191014 1.241182.654624.957299.191014 1.241182.654624.957299.191014
21112073650 666.983726 23.378961.835260 497692.530560.624637 2288.158901.435717.412199 1.480922.151079.731579.705850 116.573030.546181.201947.350708 1140.221321.109711.515456.229684 2164.354946.356549.976042.764129 2279.683560.000971.408730.328940 2281.171622.570185.096953.315596 2281.173954.169456.385516.890681 2281.173954.695842.080217.137855 2281.173954.695869.519811.814953 2281.173954.695869.520832.569539 2281.173954.695869.520832.770910 2281.173954.695869.520832.771705 2281.173954.695869.520832.771725 2281.173954.695869.520832.771726 2281.173954.695869.520832.771726 2281.173954.695869.520832.771726
221136111570 1842.191785 150.835497.879978 8.708303.439205.190884 115834.046616.565370.748095 221.928640.958930.173397.141808 51785.152802.471953.993347.306819 1.424271.858134.378179.452891.895935 5.528818.491537.484674.716828.670128 6.902214.238386.242637.166592.148831 6.953891.312527.407904.123367.585002 6.954114.611109.228222.514460.177809 6.954114.729265.668137.777590.520728 6.954114.729274.902652.697703.227274 6.954114.729274.902830.970286.682489 6.954114.729274.902830.973149.443760 6.954114.729274.902830.973149.756446 6.954114.729274.902830.973149.757375 6.954114.729274.902830.973149.757396 6.954114.729274.902830.973149.757397 6.954114.729274.902830.973149.757397
231150166918 4952.588591 937.584915.558578 146.138545.120870.034853 5.614897.729665.526807.689225 31847.540596.239088.747191.961950 22.138833.656949.040128.693218.377407 1784.196173.327189.888296.185168.834400 17567.045199.997183.198155.482607.457686 33352.626286.595247.708284.584438.266049 35116.005458.788175.801390.706202.036734 35138.163900.165862.855384.000977.494649 35138.195965.274317.846812.486288.802970 35138.195971.007217.169695.551649.489355 35138.195971.007372.541667.174060.983983 35138.195971.007372.542783.024765.328970 35138.195971.007372.542783.032580.400480 35138.195971.007372.542783.032580.879799 35138.195971.007372.542783.032580.880876 35138.195971.007372.542783.032580.880898 35138.195971.007372.542783.032580.880899

Snk3
n\k 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
110000000000000000000000
211000000000000000000000
312100000000000000000000
414310000000000000000000
515841000000000000000000
61819155100000000000000000
7110395024610000000000000000
8114781681183771000000000000000
9117151538628255538100000000000000
1012228017893759226651874910000000000000
11126506598126131281017967100299101000000000000
121339042050220804550023723016527963188013111100000000 000
13138157170440 1.788149 11.165000 11.457192 1997812974993418168 1210000000000
141462687241252 15.675051 269.959051 734.810177 279.628094 17.602423 3371806067213131000000000
151534520812381 135.088306 6509.617382 50106.349550 50571.200676 6773.570425 152.449477 11468741054126514100000000
161637474 2.674456 1123.937633 151407.115499 3.365565.864529 9.678915.998891 3.409627.447823 158045.597618 1275.574729 3.816810 1796232715 10000000
1717112156 8.562016 8961.374245 3.358439.044687 216.942933.517425 1824.831773.752183 1831.145123.886545 220.201153.849749 3.515360.704672 10234.274518 12.371352 30055397161000000
1818319491 26.612531 68333.073432 70.853158.173793 13315.081085.011815 330691.660114.707614 974152.453774.067726 332305.862305.076734 13531.923799.816877 74.359557.504220 78558.785934 38.971727 4947547917100000
1919330763 80.233923 498519.876882 1422.491253.596747 777125.587904.335661 57.167037.730614.505963 499.975665.710411.503199 500.619126.504070.863311 57.486028.511834.570882 790586.658545.978745 1496.782478.027535 577052.050285 119.186159 801555711810000
20110747886 234.737000 3.484562.746202 27223.743706.053346 43.176121.959820.458871 9415.044254.428250.916655 245476.841485.617114.479260 730811.524793.764192.134729 245920.293574.390570.836608 9471.753157.352181.151876 43.965286.127112.840869 28720.027664.203999 4.061534.562564 353.892396 1279486771910 00
21111973530 666.910076 23.378294.851534 497669.151598.789377 2287.661208.905156.787562 1.478633.992178.295862.293651 115.092108.395101.470367.644858 1023.648290.563530.313508.878976 1024.133625.246838.460586.534445 115.328613.644421.432687.564811 1.488062.569213.688222.986656 2331.599271.288563.575085 526385.694700.247174 27.439594.677098 1020.754586 20137179520100
221135111434 1842.080215 150.833655.688193 8.708152.603707.310906 115825.338313.126165.557211 221.812806.912313.608026.393713 51563.224161.513023.819950.165011 1.372486.705331.906225.459544.589116 4.104546.633403.106495.263936.774193 1.373395.746848.757962.449763.478703 51677.074141.165266.956775.436171 223.298581.820318.391092.592807 118156.439915.263130.342919 9.234514.920112.706546 178.272583.455215 2862.761271 3126869292110
231149166768 4952.421673 937.579962.969987 146.137607.535954.476275 5.614751.591120.405937.654372 31841.925698.509423.220384.272725 22.106986.116352.801039.946026.415457 1762.057339.670240.848167.491950.456993 15782.849026.669993.309859.297438.623286 15785.581086.598064.510129.101830.808363 1763.379172.192928.093106.121763.770685 22.158441.377687.053993.294775.457915 32065.108454.991428.485311.308321 5.732899.322883.065360.686385 155.371971.622411.494628 1115.850704.344987 7815.071510 4793191077221

Rnk3
n\k 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
110000000000000000000000
210000000000000000000000
311000000000000000000000
412100000000000000000000
513310000000000000000000
6151051000000000000000000
71724247100000000000000000
811055105551010000000000000000
9113116403403116131000000000000000
1011723115063000150623117100000000000000
111214385425235792357954254382110000000000000
1212781319440199473469473199473194408132710000000000 00
131321451684781758953 10.925684 10.925684 1758953684781451321 00000000000
141392533237709 15.575102 267.929503 723.109414 267.929503 15.575102 23770925333910000000000
151464324806141 134.746402 6491.905320 49824.659811 49824.659811 6491.905320 134.746402 8061414324461000000000
1615572302663660 1122.781868 151254.288896 3.358774.328475 9.628062.574918 3.358774.328475 151254.288896 1122.781868 2663660723055100 000000
1716311854 8.543704 8957.541101 3.357162.190631 216.784732.966578 1821.415343.032773 1821.415343.032773 216.784732.966578 3.357162.190631 8957.541101 8.543704 118546310000000
1817419123 26.581977 68320.672698 70.842919.639945 13311.564429.077723 330471.300477.921137 972317.891480.480658 330471.300477.921137 13311.564429.077723 70.842919.639945 68320.672698 26.581977 19123741000000
1918430318 80.183772 498480.853378 1422.412680.966346 777051.217950.488446 57.153502.283347.671863 499.643139.437804.709326 499.643139.437804.709326 57.153502.283347.671863 777051.217950.488446 1422.412680.966346 498480.853378 80.183772 3031884100000
2019747354 234.655910 3.484443.470453 27223.166610.177252 43.174625.097452.433415 9414.253593.241014.852383 245419.341918.245312.128773 730310.573131.303561.788985 245419.341918.245312.128773 9414.253593.241014.852383 43.174625.097452.433415 27223.166610.177252 3.484443.470453 234.655910 47354971000 0
21110972897 666.780884 23.377940.806826 497665.089929.326567 2287.632488.289819.695800 1.478590.025391.776151.529057 115.082635.851062.590510.629260 1023.402312.768557.028708.567677 1023.402312.768557.028708.567677 115.082635.851062.590510.629260 1.478590.025391.776151.529057 2287.632488.289819.695800 497665.089929.326567 23.377940.806826 666.780884 728971091000
221124110689 1841.877170 150.832634.678785 8.708125.163708.977601 115824.811923.288428.208337 221.810475.284247.012428.347084 51561.736054.963483.951521.697928 1.372371.367245.385421.955051.421074 4.103522.253799.090468.135692.189883 1.372371.367245.385421.955051.421074 51561.736054.963483.951521.697928 221.810475.284247.012428.347084 115824.811923.288428.208337 8.708125.163708.977601 150.832634.678785 1841.877170 110689124100
231138165895 4952.106799 937.577099.788861 146.137429.262196.572562 5.614742.356577.446368.646262 31841.807541.541614.059351.409889 22.106762.815438.561605.102746.606729 1762.005661.107935.642518.087360.123552 15781.475515.584557.398594.988820.970907 15781.475515.584557.398594.988820.970907 1762.005661.107935.642518.087360.123552 22.106762.815438.561605.102746.606729 31841.807541.541614.059351.409889 5.614742.356577.446368.646262 146.137429.262196.572562 937.577099.788861 4952.106799 16589513810

Wnk3
n\k 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
110000000000000000000000
221000000000000000000000
333100000000000000000000
447410000000000000000000
55121251000000000000000000
662031206100000000000000000
7730707030710000000000000000
88441482381484481000000000000000
9961299776776299619100000000000000
101083579256545352565579831010000000000000
111110910858546306663066685461085109111000000000000
1212142198929048238711530903238711290481989142121000000 00000
13131803560994882026860 11.695903 11.695903 2026860994883560180 1310000000000
14142266247340740 17.701911 281.654954 746.506080 281.654954 17.701911 3407406247226141000000000
1515279107671153121 152.790217 6791.272336 50852.855630 50852.855630 6791.272336 152.790217 11531211076727915100000000
161634218241 3.827577 1276.727850 158198.387835 3.416418.720159 9.729768.854521 3.416418.720159 158198.387835 1276.727850 3.827577 182413421610000000
171741330397 12.389593 10238.102095 3.516637.432522 220.359352.237584 1834.561542.606704 1834.561542.606704 220.359352.237584 3.516637.432522 10238.102095 12.389593 30397413171000000
181849649888 39.002124 78571.175527 74.369795.606315 13535.440437.249399 332526.221657.314318 975987.015316.674430 332526.221657.314318 13535.440437.249399 74.369795.606315 78571.175527 39.002124 4988849618100000
191958980651 119.236047 577091.052409 1496.861049.203062 790661.028341.585060 57.499563.952271.820281 500.951652.725728.177629 500.951652.725728.177629 57.499563.952271.820281 790661.028341.585060 1496.861049.203062 577091.052409 119.236047 806515891910000
2020696128537 353.973047 4.061653.798611 28720.604755.256408 43.966782.988162.043931 9472.543818.380522.736936 245977.793138.342842.656889 731312.476446.489920.312358 245977.793138.342842.656889 9472.543818.380522.736936 43.966782.988162.043931 28720.604755.256408 4.061653.798611 353.973047 1285376962010 00
2121815202067 1020.883123 27.439948.650145 526389.756354.045785 2331.627991.893318.831493 1.488106.535996.676385.030587 115.338086.188239.813210.301747 1024.379603.039976.803429.191334 1024.379603.039976.803429.191334 115.338086.188239.813210.301747 1.488106.535996.676385.030587 2331.627991.893318.831493 526389.756354.045785 27.439948.650145 1020.883123 20206781521100
2222950313501 2862.963338 178.273604.338338 9.234542.360061.356691 118156.966305.019484.388704 223.300913.448310.284411.424300 51678.562247.701263.633160.466758 1.373511.084934.946202.262973.780450 4.105571.013006.146472.067365.965527 1.373511.084934.946202.262973.780450 51678.562247.701263.633160.466758 223.300913.448310.284411.424300 118156.966305.019484.388704 9.234542.360061.356691 178.273604.338338 2862.963338 3135019502210
23231099480269 7815.385011 1115.853567.308325 155.372149.896015.832966 5.732908.557425.425422.043076 32065.226611.957733.504795.697025 22.158664.678600.502303.579186.882215 1763.430850.755175.794369.754924.237443 15786.954597.682999.456331.364804.588813 15786.954597.682999.456331.364804.588813 1763.430850.755175.794369.754924.237443 22.158664.678600.502303.579186.882215 32065.226611.957733.504795.697025 5.732908.557425.425422.043076 155.372149.896015.832966 1115.853567.308325 7815.385011 4802691099231

bar (T)nk3
n\k 1 2 3 4 5 6 7 8 9 10 11
111111111111
201111111111
301222222222
401344444444
500367777777
60041216171717171717
70042338434444444444
800347108134140141141141141
900394371533573580581581581
100022011640302133963455346334643464
110014029260264603238333177332593326833269
1200180763118374698556757580294581882581994582004
130011505461333 7.337401 16.764435 18.559981 18.648375 18.651397 18.651544
140002659 3.348810 162.722654 770.767846 1029.232944 1046.019138 1046.338316 1046.343857
150004304 23.250786 3632.335802 44564.729979 91548.974026 98111.584934 98260.869345 98261.981856
160006472 152.157189 77972.682783 2.767897.244039 11.727168.624808 15.041008.657065 15.197056.332881 15.198320.111405
170008846 934.426064 1.586788.232159 170.395444.488085 1847.029414.366297 3625.187163.689892 3842.980504.355535 3846.477924.927977
1800011127 5384.103625 30.522469.153795 10085.176729.343077 311090.502016.119630 1.254727.400821.167734 1.583365.947076.225594 1.596840.825329.526415
1900012723 29148.077237 555.363617.115111 568655.569704.452030 52.058322.716692.432392 534.807558.499987.132519 1029.509871.973385.531424 1086.756611.182564.724185
2000013358 148553.753754 9576.903420.885392 30.500621.297485.425218 8414.422915.438086.449888 244562.467805.660702.334480 965936.356342.335413.925981 1.210772.708255.485679.228137
2100012723 714220.671262 156858.691867.081038 1557.795495.538493.380080 1.302398.770376.503518.586473 111.579943.671230.216752.844052 1120.716227.773911.292323.813224 2139.951862.774897.363695.590938
2200011127 3.245851.685005 2.445444.511643.886725 75896.245712.989314.863220 192.741300.570588.680087.648515 49390.109196.146667.621620.447917 1.400537.907145.843608.444102.620224 5.483643.909775.657121.440904.620696
230008846 13.969865.836701 36.361944.837941.247165 3.533947.890178.383465.521065 27293.099482.953956.821504.962705 21.026130.985723.891775.880509.383267 1753.126515.924382.466203.300109.810261 17445.933196.092332.658016.528098.095744
240006472 57.040447.463929 516.638263.952110.581723 157.552398.052196.358063.209774 3.703483.694324.073896.290506.029374 8593.355172.851702.423937.581517.252234 2.137251.603120.535950.145892.853167.903224 60.000382.928307.844784.374324.875628.735913
250004304 221.310018.759380 7026.255815.408980.008116 6736.898574.360633.507334.849857 482.323379.408753.604212.590896.172391 3.373377.555505.074952.487047.666277.719097 2514.995141.272410.462687.900485.824545.545131 207416.509765.353124.063934.743360.464024.935159

bar (S)nk3
n\k 1 2 3 4 5 6 7 8 9 10 11
110000000000
201000000000
301100000000
401210000000
500331000000
600484100000
70041915510000
800344612661000
900391277162407100
100021991439138137559810
1100140188581720059237948291
120018066231131158018205923537158811210
130011504459828 6.876068 9.427034 1795546883943022147
140002659 3.346151 159.373844 608.045192 258.465098 16.786194 3191785541
150004304 23.246482 3609.085016 40932.394177 46984.244047 6562.610908 149.284411 1112511
160006472 152.150717 77820.525594 2.689924.561256 8.959271.380769 3.313840.032257 156047.675816 1263.778524
170008846 934.417218 1.585853.806095 168.808656.255926 1676.633969.878212 1778.157749.323595 217.793340.665643 3.497420.572442
1800011127 5384.092498 30.517085.050170 10054.654260.189282 301005.325286.776553 943636.898805.048104 328638.546255.057860 13474.878253.300821
1900012723 29148.064514 555.334469.037874 568100.206087.336919 51.489667.146987.980362 482.749235.783294.700127 494.702313.473398.398905 57.246739.209179.192761
2000013358 148553.740396 9576.754867.131638 30.491044.394064.539826 8383.922294.140601.024670 236148.044890.222615.884592 721373.888536.674711.591501 244836.351913.150265.302156
2100012723 714220.658539 156857.977646.409776 1557.638636.846626.299042 1.300840.974880.965025.206393 110.277544.900853.713234.257579 1009.136284.102681.075570.969172 1019.235635.000986.071371.777714
2200011127 3.245851.673878 2.445441.265792.201720 75893.800268.477670.976495 192.665404.324875.690772.785295 49197.367895.576078.941532.799402 1.351147.797949.696940.822482.172307 4.083106.002629.813512.996802.000472
230008846 13.969865.827855 36.361930.868075.410464 3.533911.528233.545524.273900 27289.565535.063778.438039.441640 20.998837.886240.937819.059004.420562 1732.100384.938658.574427.419600.426994 15692.806680.167950.191813.227988.285483
240006472 57.040447.457457 516.638206.911663.117794 157.551881.413932.405952.628051 3.703326.141926.021699.932442.819600 8589.651689.157378.350041.291011.222860 2.128658.247947.684247.721955.271650.650990 57.863131.325187.308834.228432.022460.832689
250004304 221.310018.755076 7026.255594.098961.248736 6736.891548.104818.098354.841741 482.316642.510179.243579.083561.322534 3.372895.232125.666198.882835.075381.546706 2511.621763.716905.387735.413438.158267.826034 204901.514624.080713.601246.842874.639479.390028

bar (R)nk3
n\k 1 2 3 4 5 6 7 8 9 10 11
110000000000
200000000000
301000000000
401100000000
500210000000
600441000000
7004146100000
80033939910000
90038822793121000
100021961340107819916100
1100139986521569544683952010
120018056190430257316449917424757261
130011503459017 6.813448 9.113636 161185964437138031
140002658 3.344644 158.913391 601.158522 249.018888 14.984083 2299112444
150004304 23.243821 3605.737632 40772.948412 46375.866901 6303.955057 132.473172 791625
160006472 152.146411 77797.276775 2.686314.952404 8.918331.781393 3.266846.149985 149483.234289 1114.402415
170008846 934.410745 1.585701.651193 168.730831.920758 1673.943878.957198 1769.197860.044413 214.479240.110660 3.341355.977572
1800011127 5384.083652 30.516150.625968 10053.068379.783289 300836.512861.296588 941960.223286.261272 326860.341251.962075 13257.078330.862710
1900012723 29148.053387 555.329084.934583 568069.688826.875644 51.479612.411292.673890 482.448227.726960.840674 493.758667.567673.468908 56.918097.342234.066217
2000013358 148553.727673 9576.725719.051793 30.490489.058508.908925 8383.354192.270800.569656 236096.555051.572757.919518 720891.137615.254375.357468 244341.647818.155925.647294
2100012723 714220.645181 156857.829092.649399 1557.629060.085440.615323 1.300810.483804.467761.473234 110.269160.968336.016700.486410 1008.900135.755106.028624.230211 1018.514260.167025.103769.547384
2200011127 3.245851.661155 2.445440.551571.519325 75893.643410.465492.342981 192.663846.685652.990944.332653 49196.067054.023041.203401.992530 1.351037.520353.005234.708387.414775 4.082096.865862.016240.799879.952849
230008846 13.969865.816728 36.361927.622223.710502 3.533909.082792.102030.169579 27289.489641.253377.861220.099815 20.998645.220805.553761.580519.116200 1732.051187.562327.575642.401447.058590 15691.455532.133369.392635.044326.705495
240006472 57.040447.448611 516.638192.941797.263856 157.551845.052000.675102.685686 3.703322.608014.327031.599447.359135 8589.624399.590255.155897.594067.796377 2.128637.249108.488781.277880.465773.392338 57.861399.224691.856429.986108.011480.986734
250004304 221.310018.748604 7026.255537.058513.767428 6736.891031.466607.226619.223244 482.316484.958295.227347.144173.571092 3.372891.528799.446821.410304.500454.266854 2511.613174.065022.264078.958013.449676.558551 204899.385965.783458.262966.321020.790674.281225

harald.fripertinger@uni-graz.at,
last changed: December 1, 2003

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