Numbers of isomorphism classes of binary and regular
(connected) matroidsTopGenerating functions for bar (S)nk4Numbers of isometry classes of block codes

Numbers of isometry classes of block codes

The isometry classes of block codes can also be decribed as orbits under group actions. Given a finite alphabet A of size ³2 then an [n,m]-block code is an m-subset of An. And the group of all isometries can be described as a wreath product SA wr Sn.

Number of isometry classes of [n,m]-block codes over an alphabet of size 2
m\n 1234567891011121314
011111111111111
111111111111111
21234567891011121314
301361016233243567189109132
4016194710320337364910791727268140485969
50032713149716064647123203049371218158374337375691981
600350472325318435910284041541646000 6.232542 22.151853 74.433912 237.790084
7001561326197352217782074059 16.957301 124.727148 840.130123 5244.256701 30596.969639 167941.891447
80017437791208432773763 51.107344 805.174011 11244.522420 142255.064793 1.653293.013642 17.823797.419169 179.533887.188847
9000569013681474 33.297380 1245.930065 38921.113842 1.063289.204514 26.089682.147964 584.494025.830394 12087.696271.833266 232582.740271.181155
100005019963 3.561696 375.158732 28900.653074 1.816451.773537 98.630203.059528 4776.270743.160543 210237.300968.913438 8.515061.595908.633741 320.057339.932017.724468
110002738073 16.938566 3907.656327 625715.497344 79.799396.735243 8687.099045.170277 838032.011887.365999 73.212582.945836.596465 5871.528524.308567.281095 436271.925594.121492.739505
120001965664 73.500514 37504.171766 12.562875.567065 3267.743403.989063 716661.691995.997667 138.409456.269288.832810 24126.483152.959778.734211 3.853212.295470.158037.255129 569.461460.598453.388710.904118
13000698804 290.751447 331785.257145 233.750783.834504 124448.560749.072651 55.145074.470990.131334 21380.210213.948881.081642 7.456837.714994.642537.616273 2378.623876.142097.175827.296765 701404.928372.409628.250236.887336
140004133576 1052.201890 2.712509.085687 4038.807303.045625 4.413401.558241.969897 3958.951571.937696.919325 3.086290.263475.796210.940632 2157.012446.699893.052415.292765 1.376366.010506.271334.134714.585969 811.108402.835208.880596.983258.870154
150001158658 3492.397119 20.560611.034067 65003.434860.142353 146.147123.072487.323183 265778.774043.268355.827614 417.043663.631606.786836.726209 584590.572309.102875.267882.670132 746.798735.582277.038760.281806.086236 880266.808159.237325.569935.079783.591707
160001169112 10666.911842 144.992583.036707 977872.935273.906860 4533.679418.476771.721737 16.735474.987695.189115.200083 52897.669638.612326.017382.683223 148.800412.069938.493243.660027.000241 380743.547290.544179.097952.893472.513292 898.057462.411058.042912.364556.081769.155858
170000158658 30064.448972 954.428916.508309 13.795944.871933.252078 132186.477711.972214.927910 991.558361.337384.026595.101363 6.317241.303224.258436.446054.728353 35675.219921.674183.917256.545197.680447 182.894663.828731.489795.054883.581281.043193 863463.572593.228207.008554.477216.682616.891149
180000133576 78409.442414 5882.732966.056385 183.113271.146620.771933 3.633847.025405.824655.962446 55450.696349.239278.359106.609324 712.478090.754344.814381.494318.652666 8.080210.274331.063927.816151.900043.232189 83014.518812.354414.124008.193616.389205.896090 784.579389.728560.132651.832852.792246.061819.540131
19000098804 189678.764492 34048.050206.744705 2293.288191.579045.041618 94.462788.338422.023170.980086 2.935390.385090.706344.011560.915126 76105.577771.309452.556705.700394.692070 1733.816921.777312.141926.111877.403580.691459 35.702917.639914.815190.243784.087436.778848.318715 675575.413300.731004.064899.877194.701193.030805.338757
20000065664 426539.774378 185529.967800.951003 27172.601104.679810.308230 2328.287345.619787.249096.459748 147.488587.396669.668547.571998.642856 7.720037.118381.044370.681100.817035.266005 353392.388484.331366.588106.485949.079422.277544 14587.785994.137869.290708.989813.383400.057637.763652 552.692748.081218.072527.774664.159685.870154.747235.420602
21000038073 893346.071377 954055.693545.381328 305350.757901.312578.538505 54545.760937.391259.892001.747213 7050.999179.825925.740485.033961.226582 745.492442.410021.439035.267025.063415.021158 68.587277.417223.477527.186580.085196.178802.892886 5.676301.558041.809282.151520.611141.597641.403454.470760 430641.478958.448222.259455.234992.643814.547407.314350.357618
22000019963 1.745593.733454 4.639889.522108.312030 3.261598.821371.763396.803511 1.217330.959569.709249.476221.968793 321453.093105.582772.552568.998534.582118 68684.982748.883236.159863.729265.197691.720498 12703.815405.557120.159478.674241.083605.013425.686874 2108.149749.229314.548492.828153.754559.696968.537272.633050 320.285327.377857.585300.404346.953491.232901.255765.647487.066420
2300009013 3.186944.273554 21.383017.067838.362401 33.182648.967085.223933.532504 25.934094.167708.022126.040579.330456 14.003987.708878.683267.071707.611958.895550 6.050162.995322.595002.958759.216136.351820.624477 2.250195.058930.289834.420962.979837.856360.932411.857118 748837.166128.069397.703904.584811.587034.129679.511513.343241 227843.189777.268871.105111.814946.639628.216832.696954.337948.367162
2400003779 5.443544.478011 93.548468.422696.368504 322.145133.157474.420333.016643 528.403452.797382.907134.688382.387405 584.079018.041275.306986.461410.119156.192134 510.478746.433790.942324.931509.085098.111559.217844 381.873672.584073.031701.759609.394242.089686.739440.597282 254.883012.462462.138379.054653.887315.860338.737798.016789.461183 155.320892.323844.069893.975516.054879.841674.395128.974072.928779.965886
2500001326 8.708686.182967 389.155801.257131.862671 2989.490904.329310.130221.003214 10314.397291.804554.841227.387228.821998 23363.079467.025268.919711.179648.006234.113220 41328.205543.735482.910913.838469.715062.153099.722075 62199.323343.061809.644411.794457.239218.407734.674041.788104 83274.978486.776236.853805.812349.198323.622117.365002.656423.897686 101641.432053.016840.328071.740518.435105.636243.276833.117961.414821.680053
260000472 13.061946.976545 1541.641018.941306.715514 26560.397643.022444.157021.925451 193196.219483.989557.293429.354816.036823 897679.799923.720131.594128.840993.113770.013928 3.215646.247803.454585.336197.118936.646493.214692.363265 9.738958.159081.134993.710673.218007.612345.131038.491633.670112 26.157888.997834.885419.878079.633171.590269.752605.503409.582107.857457 63.951830.805138.051745.563765.003082.680258.706672.550717.252278.978357.208534
270000131 18.382330.104696 5823.941642.748774.264376 226254.859185.460885.384656.777972 3.477528.377429.541456.643495.475920.968534 33.180874.868873.540112.354700.863507.653464.172930 240.815945.116322.594358.112833.672618.257289.480833.113606 1468.056211.988214.932342.241047.626198.646575.107749.275368.365894 7911.298665.925585.478827.581264.709513.059238.520731.395596.060577.367338 38745.281612.181569.468496.456963.696329.375931.148484.887014.748053.622039.748894
28000047 24.289841.497881 21007.706297.239523.594493 1.850439.767413.213381.676300.410605 60.235726.627627.098139.988458.786845.553219 1181.475597.008612.093377.295746.679622.880737.686661 17381.742508.586237.658888.041928.598953.375901.698547.585312 213339.912255.996611.830498.210365.333465.091969.810402.376119.022294 2.306989.805009.348920.728398.204793.721056.512328.493238.715903.707159.008332 22.634147.607974.103610.491515.698588.755937.390316.756926.457842.954758.490958.893524
29000010 30.151914.536933 72440.178302.680512.469311 14.548277.191793.740079.094717.283796 1005.313216.209678.097300.837737.586604.086755 40577.565883.989085.813022.793094.046519.980863.681997 1.210727.975258.845000.170116.054192.366601.296506.091952.551943 29.926432.079096.953620.225477.995729.316937.289867.507571.291728.318786 649.457208.770299.199134.479718.920162.202520.213760.766277.326074.955652.027685 12765.654829.462341.469214.756282.334492.423746.691821.984296.936510.730862.820867.853224
3000005 35.176482.187398 239052.176402.900698.945575 110.081929.959832.624391.973064.647939 16185.540294.075004.174581.243396.208931.767490 1.345822.434639.065240.190272.259715.672550.632679.882279 81.481982.634230.089333.763961.048891.910588.795659.909155.928158 4057.026094.441131.869167.209068.764563.088329.024083.633020.407681.232164 176717.279611.276594.155671.222541.904931.411322.670262.084689.445047.085403.534666 6.959408.283984.376769.747532.091875.192416.510594.886353.063641.186682.439056.023086.492889
3100001 38.580161.986426 755712.458716.674299.791783 802.532636.443709.706840.450122.063520 251659.025231.892233.968990.919056.119454.064008 43.153142.399788.888124.426129.960840.840632.964653.148841 5304.213890.843228.623882.737356.477913.134469.272752.036771.357281 532124.741244.144719.701362.239414.355890.452181.366260.976650.561902.448516 46.527946.001517.370609.363990.157520.145246.288498.580172.105019.761444.078574.895285 3671.424296.384248.775462.719241.052280.779496.646335.724003.232890.411062.883404.578174.171709
3200001 39.785643.746726 2.290751.597281.990732.500942 5642.807016.602868.910906.610478.920880 3.782749.557124.679910.717193.657409.113113.607596 1339.095905.864118.624960.203892.834100.332005.058416.784877 334331.221136.901894.743176.949743.788296.265217.934133.237237.503321 67.596468.721674.759457.475121.437157.420293.330497.057383.047142.673089.202131 11866.079774.017266.663519.535458.778918.591612.981789.546110.889430.769112.716962.968267 1.876212.465811.857263.786028.913086.031946.941741.086312.229958.069020.698341.318038.959987.904950
3300000 38.580161.986426 6.664001.074916.434992.138232 38302.687745.534783.434777.915724.381236 55.021810.445753.360985.693655.015530.256090.699923 40254.033816.751228.673104.813040.627153.564051.407717.474770 20.424597.905699.732553.408637.651878.866512.620242.730872.921918.217274 8324.607398.369626.295918.901644.281403.907597.182965.513229.009707.783078.119642 2.934157.851332.298108.718559.931139.496670.017445.173972.742744.020352.305489.618561.365746 929.691684.004669.221020.171093.654576.995668.684550.891118.966015.923402.638933.097212.251845.766394
3400000 35.176482.187398 18.619996.099104.706149.982488 251220.560762.944670.620978.167889.120911 775.160202.062195.292452.073493.384627.499873.540936 1.173286.681188.209281.149521.627792.978548.662499.692155.860294 1210.457777.678618.145887.266856.733179.440558.995014.535865.234884.197978 994790.575458.020753.840770.596518.564185.714831.787578.021237.900050.026477.001705 704.111578.763204.050359.701217.906153.827342.685230.702721.731742.056125.381991.788888.659733 447099.663504.515727.057132.623404.465866.527773.254880.749441.188435.524951.490682.016508.675053.572123
3500000 30.151914.536933 50.007976.562001.435996.449184 1.593456.095150.198907.328015.638690.593952 10586.473544.520669.223636.073632.687482.651190.655767 33.187251.687690.955677.520986.304780.921113.423728.902115.238855 69653.198686.822241.359221.023410.141317.614212.422722.567304.766906.645196 115.452551.423024.525588.805453.701574.248242.867106.515779.744348.423409.718393.193231 164118.349477.661717.069630.204381.653453.060735.218158.158459.212598.566136.294487.508098.996024 208.859413.094436.366603.221654.026693.820759.334967.582845.089397.561008.125312.413216.147161.339579.556831
3600000 24.289841.497881 129.187249.142093.142702.753347 9.782049.796982.953965.334618.469019.198421 140270.773947.552377.712033.701165.491592.513314.673774 911.727551.149484.584374.787631.102370.505929.558100.462888.436986 3.894774.684944.361524.884307.130982.303092.446965.425732.282671.664287.342609 13023.689174.810883.341516.365354.383541.740878.544412.099882.503925.055931.517419.820377 37.186482.595353.920369.334885.354240.296932.760993.561538.109516.693120.452515.424921.794487.121680 94851.181536.698988.289444.111394.537934.431601.868710.418693.260096.738629.166965.025909.857705.541159.762315
3700000 18.382330.104696 321.222307.288353.935643.642584 58.163538.906544.077508.083937.524557.785580 1.804564.547716.997693.069693.653388.887491.494415.313118 24345.589714.276072.537081.701568.519423.550484.212005.870296.896029 211.791531.286901.283568.606646.327421.127423.644625.851837.663729.094596.244888 1.429085.891643.940881.698656.790165.793570.022378.851658.602255.327362.481453.129271.169919 8197.106802.087864.393208.268450.063197.137683.027499.139635.926185.579088.538921.117916.998814.690829 41.908840.908981.399055.517423.121889.375240.690087.705292.008510.453803.116644.839146.995634.464722.433580.247318
3800000 13.061946.976545 769.242821.441294.142199.656317 335.205656.960578.365399.603898.827122.014747 22.557056.821943.762106.646555.978690.083397.482334.317101 632344.658753.625452.369606.211706.562730.076175.005072.244816.079720 11208.230767.971238.447570.479666.777152.550778.415266.791804.445729.820065.926974 152.648937.655866.775660.917125.317013.060952.097874.126395.755256.179312.486731.200087.378728 1.759142.261316.403839.060528.091513.125806.377871.639883.251319.068166.802230.462631.048303.805513.971348 18028.521628.096156.056532.840248.037167.061947.754257.774108.071279.248271.554125.741106.182155.396127.708327.792666
3900000 8.708686.182967 1775.175620.379584.197450.534516 1873.713667.272779.511743.741287.768103.883965 274.154998.135034.865235.362230.400803.109360.272557.845249 15.986970.085225.670696.024832.097700.017857.722118.520725.976616.076459 577654.970186.859763.452354.046128.658229.648804.460977.758949.279274.121910.277954 15883.317662.355303.776732.590159.790551.805188.202566.310434.730461.475719.395397.737052.611316 367.796051.137307.901098.606591.771821.663877.621112.468143.037177.210105.883210.151302.744104.716171.998645 7.556261.908493.138801.946037.187468.892411.200520.071014.278615.539172.982835.589682.948595.532012.199655.290374.847449
4000000 5.443544.478011 3949.765556.962586.388780.875877 10164.896628.613727.789512.529853.609906.709267 3241.882851.896912.699710.301087.003149.147481.036006.840730 393.679138.280502.763944.853917.985990.161719.939603.600169.939736.127736 29.012720.873476.225340.557505.401865.809456.719230.626287.207830.213691.416556.713623 1.610965.493673.833334.105278.968398.105936.898208.872665.548395.499787.227825.986540.065220.649331 74966.030111.461165.880006.374456.840668.523031.816952.519107.495457.810110.815088.962444.812237.660601.438078 3087.677521.824389.913586.998968.830134.849172.004412.110302.030177.178861.366432.947973.498589.036472.382296.133924.915190
4100000 3.186944.273554 8477.545270.016362.313898.264145 53551.650478.740351.861395.236886.695194.260019 37321.187946.920625.302381.576702.368813.995421.903040.745588 9448.299317.878580.481459.437166.500040.767385.385019.946216.324882.145931 1420.915695.358065.665685.860913.585062.689711.268437.722538.566692.056549.018041.802253 159.367708.338267.746900.487772.544247.584419.556618.173442.810312.929889.661922.525336.340694.785103 14.905440.912710.319674.176930.966761.319414.631284.735188.693337.067744.857334.000430.324291.094724.462371.871461 1.230853.692983.582147.464898.612282.447277.633331.791876.692328.506925.064605.456532.712044.474805.239112.685936.457093.419633
4200000 1.745593.733454 17560.628998.658302.790981.917813 274133.448714.479061.561616.675143.069444.612368 418530.464792.496583.827489.253031.263275.644797.464269.312658 221135.195929.440446.916867.027958.578712.471731.047264.877497.153635.309835 67899.471439.933857.333908.451038.655721.287051.783294.184227.251899.951512.470694.736581 15386.572792.573761.086458.005705.724210.615686.633309.696872.308406.354921.751078.574554.577373.910846 2892.720211.303723.294102.350099.283447.129983.567104.579749.857753.218973.995011.420160.024598.256306.844622.575834 478.948616.751367.424322.722238.289749.590585.591121.572013.496461.765968.228936.742186.719242.894626.263545.326645.927451.604255
4300000 893346.071377 35121.257258.569385.923601.319394 1.364292.046584.859331.188723.091613.320973.552817 4.574635.312602.282282.590728.609292.779023.049114.081907.801227 5.050110.753426.835450.701225.001907.568970.711369.820272.822814.664307.421028 3.167589.295486.322994.894545.074212.038652.924271.327101.491129.978119.807095.892557.277772 1.450631.769766.151026.351184.648847.138004.219439.982351.133055.902893.131845.297917.690100.232040.471198 548271.388875.874970.183455.921761.171727.477371.630099.852507.221297.492156.175316.637616.763461.374649.976187.535927 182022.751041.407857.181341.524588.519444.719273.087167.920099.469358.751170.790459.105559.859368.638552.918464.492643.603049.638550
4400000 426539.774378 67847.882253.404099.110643.875139 6.604413.769448.812259.401294.421714.539638.339848 48.761453.671516.514333.706222.560521.294497.008042.853657.717844 112.594514.751085.146209.835128.968043.651280.300611.385331.588444.925608.265327 144.341284.940641.917997.056762.718012.243788.486869.919354.320298.039785.335625.683605.886186 133.622967.336533.341333.147992.527651.390558.529767.214027.516882.435424.778980.365647.063224.645234.655124 101.542353.361487.157043.422101.541600.069278.245237.290537.496342.547164.276659.313062.985142.330201.418550.561949.576120 67.600767.607618.255105.838845.175267.953055.705656.781258.799110.739794.799963.444391.096774.399614.863573.614975.554395.639154.832900
4500000 189678.764492 126649.378647.554063.153135.278856 31.114127.087161.847660.636883.958883.296032.943643 507.119118.175422.115809.058181.324567.766713.082590.166770.288250 2452.058321.229254.917850.990751.270132.528819.621415.871348.455012.246759.916563 6427.998555.991259.523442.874836.379968.155410.275826.301482.295203.053446.748035.746921.737033 12032.005858.779673.914804.620136.188410.678449.251297.041387.961149.325185.394405.726361.363268.698943.462592 18385.935448.562120.418804.426897.989226.197970.166656.306370.313023.760992.839835.172271.966707.183199.051023.370110.660401 24546.589837.832059.107740.501222.121063.473252.611836.024537.410492.655642.632257.147498.615197.862130.799386.029682.873756.517228.975297
4600000 78409.442414 228519.528859.323372.634761.108297 142.719148.147831.538649.956461.529234.248973.503121 5148.361482.299026.183543.640103.868456.026378.309981.966321.141588 52186.197749.454593.091746.866806.658451.295885.527536.817407.900888.965890.017404 279897.415382.993759.518184.630979.033709.145476.906828.450922.397838.818255.732587.160094.629748 1.059601.211604.359068.531247.385527.276249.320697.193164.655366.894606.521229.080975.031586.097403.824781.609899 3.256309.045631.788706.482116.631046.111365.727546.297457.366234.431193.345947.109341.196067.678865.283163.434513.743994.067569 8.718841.986070.405187.514514.971634.456738.367018.986937.251968.865082.431859.516289.497827.039705.173431.862274.712851.834316.912508.177912
4700000 30064.448972 398693.643127.208022.349451.763082 637.681300.198777.378572.719773.512855.033360.542595 51045.456398.704529.177630.324493.732571.143216.837860.524375.623392 1.085917.051039.814788.677647.676104.398261.943753.444056.626405.856050.480841.754978 11.922438.842468.581750.299813.785055.265249.528879.680653.548200.851798.904397.790000.554660.106624 91.306061.850904.098838.842543.475837.819805.257427.263243.341229.716402.139878.352686.472435.918179.571585.590055 564.380712.461347.108903.432133.938044.382593.577635.822173.796283.092553.637617.432997.149379.321610.767523.636386.450553.931979 3030.817880.174947.109756.909267.514995.488206.695652.401296.344591.394499.562048.655354.518522.147610.519138.847349.610949.661999.768052.261148
4800000 10666.911842 672795.518837.240012.447690.122887 2776.570661.182116.803987.847955.241239.072597.119465 494502.858861.041004.787636.094575.454085.504153.502839.103919.769128 22.102936.643017.848010.348043.688021.881166.621339.854848.196928.511027.003714.614077 497.016669.245077.348942.851376.631558.093727.981749.068850.447442.302786.141636.621836.587224.230505 7702.046759.043454.041254.403703.202349.701376.377278.725527.884776.747763.241276.349893.250370.565370.976472.860551 95768.352145.724500.865808.915760.519314.598989.929766.768618.128952.361569.802627.674978.757110.782591.140128.388248.332846.099708 1.031551.493924.666511.763796.690634.692186.764686.437724.538027.855744.930096.981790.041939.316077.013649.390575.121237.699846.234443.787052.054233
4900000 3492.397119 1.098441.658311.031305.952491.518685 11786.259132.910176.441803.311149.263245.934634.783392 4.682639.316554.216501.719730.248087.449026.055096.765430.393506.965862 440.254411.501515.376061.608864.337755.374577.672043.001383.030772.447335.477422.710264 20286.394663.057445.391665.334734.231241.419279.209681.951421.497543.062104.636213.942507.858713.586744 636283.373073.434824.687018.405730.656108.837253.983547.914977.017809.925918.450156.957870.871543.927419.605658.477448 15.917091.017847.616883.409169.759690.475425.192025.633856.363366.535364.000430.541394.475457.688415.513996.608171.747407.582513.530808 343.906636.831582.240930.972898.131716.474805.603581.555884.754795.600687.806211.934117.756327.222303.157116.417751.535774.897502.807823.014555.797810
5000000 1052.201890 1.735537.813708.646926.551922.672300 48795.112809.527952.208361.184921.364131.898205.993027 43.361240.071253.129174.671128.437626.551925.000321.142258.007710.190363 8584.961024.277205.681296.691203.693832.939359.232847.414988.371499.723831.073563.662737 811050.058628.894493.549065.727943.759552.552889.875499.115834.125054.098831.441117.118166.871820.669654 51.500776.216555.793685.279970.176555.939378.315351.979567.572166.211883.490488.162358.876726.104588.093685.392562.182748 2592.257443.166249.811889.689076.713780.115538.125621.479674.858140.993874.319971.157156.461120.110414.104979.013703.471656.679312.409953 112354.298252.858451.911013.031575.377845.721173.376146.880603.921404.193387.601668.809087.990533.630719.703219.113764.474568.412473.862276.405626.966057

Number of isometry classes of [n,m]-block codes over an alphabet of size 3
m\n 12345678910
0 1111111111
1 1111111111
2 12345678910
3 141020355787127179245
4 053414449014703990100452375053205
5 05105124511075829185455443226809 17.404018 86.501661
6 0432112473334678 7.194272 131.828470 2123.742189 30640.203562 401048.016071
7 02846120213 10.274578 664.545445 35754.455353 1.670170.058120 69.308975.221311 2593.006992.632304
8 0119841067757 293.142769 57778.060974 9.300033.719253 1289.964348.650070 158348.647910.702036 17.479995.774348.158728
9 014023 8.508432 7563.157341 4.570181.600483 2216.652346.764139 920838.234258.938763 337.705364.634088.701870 111234.470124.947445.670723
10 007074 60.801152 176207.637611 327.615878.641570 480242.932559.153642 599.346797.545763.804780 658924.882943.438469.999753 650.082529.279857.925866.297172
11 0010770 391.078610 3.726299.739235 21381.615692.198496 94.874768.179629.903791 356146.243319.205483.449324 1175.202923.618550.525380.785445 3.477285.812292.457629.346580.658452
12 0014253 2277.606189 71.996867.385677 1.278652.375557.906920 17193.541252.761002.222476 194.251772.536685.406037.980410 1.924770.620147.760792.778941.634653 17088.300341.990065.416523.609941.727022
13 0016384 12079.172109 1279.018609.068332 70.509371.505314.767968 2.876019.980110.265392.778268 97833.621781.412430.001564.385695 2911.575516.376017.946075.600802.368787 77.573912.637415.564722.913679.363362.768131
14 0016384 58646.808981 21010.435342.847404 3605.811115.784411.350607 446.573549.714377.126005.424290 45.754345.533148.120332.889341.834506 4.090341.878048.794382.718420.650902.968039 327076.876106.555332.088458.523095.925049.074077
15 0014253 261900.799332 320746.985138.432185 171872.928005.662706.605142 64692.077229.612319.671328.175679 19969.684218.114767.081313.695855.622783 5363.344173.640063.671848.471310.883663.312359 1287.211425.906356.311225.357196.397904.848130.307057
16 0010770 1.080219.903328 4.570573.075546.774047 7.669764.386610.312638.349812 8.781877.873380.963173.276934.238621 8.170019.719573.789793.497707.906099.566432 6.592814.903157.359791.543177.236048.635579.754889 4.749260.821518.331177.366444.836454.465553.733948.321581
17 007074 4.129996.450120 61.030199.782564.307744 321.677959.698275.196782.544502 1121.494333.038967.253385.464377.528483 3145.447579.438011.720229.544873.657635.811133 7627.081853.860141.389021.297608.070603.245100.173679 16491.870680.173318.295286.042077.092009.662123.523965.966666
18 004023 14.683917.874810 766.265997.877529.874482 12724.136348.780695.793198.454049 135202.243031.807957.412239.072651.418156 1.143543.717352.513665.027084.389063.668863.953057 8.332999.924570.570956.253244.482293.322916.100558.968512 54.085921.621063.679637.307523.447679.198035.755232.675262.776959
19 001984 48.687786.994190 9074.192243.977882.655942 476150.384639.850850.986381.084462 15.434398.357231.085525.660534.576302.713318 393.800202.331310.021711.860851.319201.971634.339695 8624.651208.514008.893816.405604.222507.001126.522313.319834 168039.177623.900622.222140.993290.033231.755001.691795.191537.450529
20 00846 150.930310.833366 101630.903348.759340.893786 16.903336.170828.430907.859653.088678 1673.088592.797189.020971.218693.779250.366721 128812.030532.334743.262538.209771.245559.454168.643673 8.479755.846869.765967.315544.997072.862732.496858.391050.854777 495.967546.473110.254126.321710.466149.270862.104106.267036.941816.293038
21 00321 438.413372.138313 1.079223.172607.740316.224208 570.688795.139349.867368.052251.529774 172646.801872.903342.354118.599366.714253.127376 40.121878.914456.034202.735921.531967.210766.460330.460433 7939.877675.324047.027506.810788.726136.538809.366956.209175.533191 1.394117.457184.943037.488302.521180.259522.255697.794767.713157.105476.407557
22 00105 1195.667325.532828 10.890341.904793.977306.960105 18365.802677.251122.734732.856521.021824 16.997862.173900.498937.173117.203231.198321.624434 11927.140203.434249.429548.458076.468545.916299.353035.035022 7.096085.106114.980356.558150.410852.004916.679818.323353.497280.287729 3740.543803.086556.375270.131469.082753.557412.359520.828712.560094.645212.742129
23 0034 3067.137603.218364 104.641976.554896.611116.633654 564548.799855.522144.949579.237828.090082 1600.016149.358276.356933.223794.211348.280728.726859 3.390937.801156.888479.172387.712433.085963.755286.990834.274638 6065.918631.225837.734643.433203.290635.616126.059873.419377.945129.652621 9.599699.027673.664265.228921.020627.008111.315537.761262.868945.064558.281838.523805
24 0010 7412.235056.354496 959.218100.437470.449653.403883 16.607143.816544.677058.512895.563151.422849 144268.122567.826071.223485.450622.671171.383146.544309 923.747971.210581.153864.841018.295208.156972.752525.661901.942028 4.968998.336432.224255.837911.070795.878940.969052.627192.875765.875097.927143 23609.659732.660457.578653.511302.645992.573091.385738.358373.099322.627672.263666.877294
25 003 16899.874493.202097 8402.750488.066134.776888.201774 468.321455.141577.525832.484996.402997.461881 12.482077.957580.872421.859275.094685.151769.472169.024185 241541.619383.618251.911188.058673.169245.330592.565535.819506.161516 3907.421529.472160.843824.794321.614528.907754.973955.927252.347491.076819.465417 55.742406.588625.798452.594903.017399.396603.474820.388028.058115.022698.421919.464770.160848

Number of isometry classes of [n,m]-block codes over an alphabet of size 4
m\n 123456789
0 111111111
1 111111111
2 123456789
3 141020355787127179
4 11055223759230964291667440719
5 0132543227329702921032303283 16.388502 106.287822
6 0231643771942877651 90.647411 2479.201432 59893.592245 1.295484.202258
7 026101642097080 311.400852 37593.032352 3.874477.609666 349.607878.149545 28080.454247.154740
8 03263488 57.796870 34630.385050 16.429342.163157 6599.430028.972418 2.313452.894091.782101 720.645869.857713.416245
9 026364843 1502.295684 3.667889.498353 6925.787777.638463 11.005421.717482.468773 15234.448027.502727.073180 18.726377.123294.059174.412659
10 0231930906 36065.804158 360.865277.628727 2.729333.815881.686935 17273.734529.317171.068203 95.092594.038536.680078.007672 464647.323565.599860.735629.425620
11 013 9.262768 795109.767172 32754.692969.489938 995.740669.987430.403414 25.181456.057693.008339.763059 553092.980828.190394.446335.839530 10778.588361.453642.047099.243794.276139
12 010 40.411006 16.115614.918786 2.743732.568913.925577 335945.077218.184962.957540 34003.737003.435994.894150.148682 2984.588821.879989.225616.325978.449208 232.335548.668502.380985.795271.986258.349451
13 04 160.421289 301.341514.055753 212.759983.293659.858532 105.067580.130605.231781.256012 42.603172.007898.715981.922337.319015 14.954884.176034.777008.243661.081645.101440 4.653866.336699.333619.983205.123375.833231.719464
14 02 581.839267 5220.182848.555434 15334.208540.810309.509868 30573.725529.682828.087311.432169 49690.006767.910230.514957.016246.413315 69786.632250.094665.248692.211874.924863.925019 86849.782071.803186.179256.715014.895844.931701.526062
15 01 1934.022164 84132.279974.374399 1.031480.539243.199520.034660 8.310809.015721.735456.185639.217040 54.158497.721151.149425.654087.606674.852696 304.390060.432492.084012.377982.122567.201961.380857 1515.225779.420036.030072.761808.322973.017812.564229.108068


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

Numbers of isomorphism classes of binary and regular
(connected) matroidsTopGenerating functions for bar (S)nk4Numbers of isometry classes of block codes