Numbers of isometry classes of block codes Number of isometry classes of [n,m]-block codes over an alphabet of size 3 Number of isometry classes of [n,m]-block codes over an alphabet of size 4

Number of isometry classes of [n,m]-block codes over an alphabet of size 4

m\n 1 2 3 4 5 6 7 8 9
0 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
3 1 4 10 20 35 57 87 127 179
4 1 10 55 223 759 2309 6429 16674 40719
5 0 13 254 3227 32970 292103 2303283 16.388502 106.287822
6 0 23 1643 77194 2877651 90.647411 2479.201432 59893.592245 1.295484.202258
7 0 26 10164 2097080 311.400852 37593.032352 3.874477.609666 349.607878.149545 28080.454247.154740
8 0 32 63488 57.796870 34630.385050 16.429342.163157 6599.430028.972418 2.313452.894091.782101 720.645869.857713.416245
9 0 26 364843 1502.295684 3.667889.498353 6925.787777.638463 11.005421.717482.468773 15234.448027.502727.073180 18.726377.123294.059174.412659
10 0 23 1930906 36065.804158 360.865277.628727 2.729333.815881.686935 17273.734529.317171.068203 95.092594.038536.680078.007672 464647.323565.599860.735629.425620
11 0 13 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 0 10 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 0 4 160.421289 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 0 2 581.839267 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 0 1 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 "at" uni-graz.at, May 10, 2016

Numbers of isometry classes of block codes Number of isometry classes of [n,m]-block codes over an alphabet of size 3 Uni-Graz Mathematik UNIGRAZ online Number of isometry classes of [n,m]-block codes over an alphabet of size 4 Valid HTML 4.0 Transitional Valid CSS!