Home >  Results  >  Linear codes  >  Classification of linear codes  > 

Divisible Linear Codes




Table 4. Even binary codes with n ≤ 20, k ≤ 10, $d ≥ 6 codes. 20_10_6.2bh_pri

n\k 2 3 4 5 6 7 8 9 10
9 1
10 1
11 2 1
12 3 4 1
13 3 6 4
14 4 15 18 5
15 5 23 62 46 5
16 6 41 168 328 120 3
17 6 55 402 1713 2489 329 1
18 8 89 891 7400 31438 28863 907 1
19 8 114 1775 26383 269928 970102 416439 1694
20 10 168 3397 83672 1771843 17927353 39994046 5707389 1681
total 57 516 6718 119547 2075823 18926650 40411393 5709084 1681


Table 5. Even binary codes with n ≤ 18, k ≤ 12, d ≥ 4. 18_12_4.2bh_pri

n\k 2 3 4 5 6 7 8 9 10 11 12
6 1
7 1 1
8 2 2 1
9 2 3 2
10 3 8 9 3
11 3 10 18 11 2
12 5 21 50 55 19 2
13 4 25 96 172 115 21 1
14 6 43 207 582 703 272 28 1
15 6 53 378 1659 3569 2734 567 28 1
16 8 83 722 4730 17377 26214 11891 1263 36 1
17 7 98 1240 12338 77834 225761 220180 54039 2614 29
18 10 145 2200 31848 335287 1828735 3707982 2117150 263147 5568 30
total 58 492 4923 51398 434906 2083739 3940649 2172481 265798 5598 30


Table 6. Divisible ternary codes with n ≤ 50, k ≤ 6 and Delta=9. 50_6_9.3bh_prin

n\k 2 3 4 5 6
12 1
13 1
18 1
21 1 1
22 1 1
24 1 1 1
25 1 1 1
26 1 1 1 1
27 2 3 3 1
30 2 4 3
31 2 3 1
33 1 5 5 3
34 2 5 4 1
35 1 4 4 3
36 4 10 22 13 4
37 2 7 10 3
38 1 6 12 10
39 3 15 34 41 23
40 6 25 40 30
42 2 17 52 44 15
43 6 32 40 16
44 2 14 22 17
45 5 31 141 190 72
46 6 56 122 71
47 2 29 92 89
48 5 44 297 705 468
49 15 177 613 596
50 2 39 217 295
total 28 182 958 2176 1714


Table 7. Divisible quaternary codes with n ≤ 30, k ≤ 8 and Delta=4. 30_8_4.4h_print

n\k 2 3 4 5 6 7 8
5 1
8 1
9 1 1
10 1 1 1
12 2 2
13 2 3 1
14 1 5 3 1
15 1 3 6 2 1
16 4 9 7 2
17 3 12 9 2
18 2 18 25 8 1
19 1 14 42 25 6 1
20 6 34 93 70 22 4 1
21 5 45 115 75 19 2
22 3 64 245 131 23 2
23 2 62 554 398 96 12 1
24 9 123 1509 1769 491 79 9
25 168 3189 6890 1842 334 46
26 8420 18377 2691 360 33
27 70147 4602 458 34
28 36982 3075 244
29 34180 2366
30 24565
total 45 564 14219 97897 46776 38507 27299


Table 8. Doubly even binary codes of length n ≤ 32 and dimension k ≤ 6. 32_6_4.2bh_prin

n\k 2 3 4 5 6
6 1
7 1
8 1 1 1
10 1 1 1
11 1 1
12 2 3 4 2
13 1 1 2
14 2 4 6 5 4
15 3 6 6 4
16 3 8 18 21 15
17 2 7 14 11
18 3 9 27 44 45
19 6 22 52 62
20 4 17 64 149 212
21 6 36 144 276
22 4 20 104 373 852
23 12 89 475 1489
24 6 34 220 1157 4317
25 12 148 1364 7890
26 5 39 359 3115 22278
27 22 321 4397 49390
28 7 61 701 9492 137980
29 24 557 13421 330979
30 7 72 1173 27638 921270
31 41 1106 42656 2374543
32 9 106 2163 84258 6556687
total 55 506 7135 188785 10408304