Number of isometry classes of [n,m]-block codes over an alphabet of size 3 Numbers of isometry classes of block codes Number of isometry classes of [n,m]-block codes over an alphabet of size 2

Number of isometry classes of [n,m]-block codes over an alphabet of size 2

m\n 1 2 3 4 5 6 7 8 9 10 11 12 13 14
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 1 2 3 4 5 6 7 8 9 10 11 12 13 14
3 0 1 3 6 10 16 23 32 43 56 71 89 109 132
4 0 1 6 19 47 103 203 373 649 1079 1727 2681 4048 5969
5 0 0 3 27 131 497 1606 4647 12320 30493 71218 158374 337375 691981
6 0 0 3 50 472 3253 18435 91028 404154 1646000 6.232542 22.151853 74.433912 237.790084
7 0 0 1 56 1326 19735 221778 2074059 16.957301 124.727148 840.130123 5244.256701 30596.969639 167941.891447
8 0 0 1 74 3779 120843 2773763 51.107344 805.174011 11244.522420 142255.064793 1.653293.013642 17.823797.419169 179.533887.188847
9 0 0 0 56 9013 681474 33.297380 1245.930065 38921.113842 1.063289.204514 26.089682.147964 584.494025.830394 12087.696271.833266 232582.740271.181155
10 0 0 0 50 19963 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
11 0 0 0 27 38073 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
12 0 0 0 19 65664 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
13 0 0 0 6 98804 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
14 0 0 0 4 133576 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
15 0 0 0 1 158658 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
16 0 0 0 1 169112 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
17 0 0 0 0 158658 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
18 0 0 0 0 133576 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
19 0 0 0 0 98804 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
20 0 0 0 0 65664 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
21 0 0 0 0 38073 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
22 0 0 0 0 19963 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
23 0 0 0 0 9013 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
24 0 0 0 0 3779 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
25 0 0 0 0 1326 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
26 0 0 0 0 472 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
27 0 0 0 0 131 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
28 0 0 0 0 47 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
29 0 0 0 0 10 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
30 0 0 0 0 5 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
31 0 0 0 0 1 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
32 0 0 0 0 1 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
33 0 0 0 0 0 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
34 0 0 0 0 0 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
35 0 0 0 0 0 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
36 0 0 0 0 0 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
37 0 0 0 0 0 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
38 0 0 0 0 0 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
39 0 0 0 0 0 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
40 0 0 0 0 0 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
41 0 0 0 0 0 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
42 0 0 0 0 0 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
43 0 0 0 0 0 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
44 0 0 0 0 0 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
45 0 0 0 0 0 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
46 0 0 0 0 0 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
47 0 0 0 0 0 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
48 0 0 0 0 0 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
49 0 0 0 0 0 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
50 0 0 0 0 0 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

harald.fripertinger "at" uni-graz.at, May 10, 2016

Number of isometry classes of [n,m]-block codes over an alphabet of size 3 Numbers of isometry classes of block codes Uni-Graz Mathematik UNIGRAZ online Number of isometry classes of [n,m]-block codes over an alphabet of size 2 Valid HTML 4.0 Transitional Valid CSS!