Recent improvements to the tables
v k t new old method date changed
bound bound
32 9 6 19776 19813 Covering by Flavio Perona 01/03/08
22 8 7 26804 26805 Covering by Flavio Perona 01/03/08
28 10 7 20160 20164 Covering by Flavio Perona 01/03/08
29 10 7 27578 27584 Covering by Flavio Perona 01/03/08
26 10 7 11291 11307 Covering by Flavio Perona 01/04/08
25 10 7 8483 8484 Covering by Flavio Perona 01/04/08
26 8 7 106314 106359 Covering by Flavio Perona 01/07/08
27 10 7 15469 15482 Covering by Flavio Perona 01/07/08
24 9 7 17299 17327 Covering by Flavio Perona 01/07/08
23 9 7 11852 11875 Covering by Flavio Perona 01/07/08
22 9 7 8052 8053 Covering by Flavio Perona 01/07/08
27 9 7 44164 44355 Covering by Flavio Perona 01/07/08
28 9 7 60722 60915 Simple Construction: combined (27,9,7) and (27,8,6)-coverings 01/07/08
23 9 7 11849 11852 Covering by Flavio Perona 01/09/08
26 8 6 12518 12519 Covering by Flavio Perona 01/09/08
26 9 7 33031 33033 Covering by Flavio Perona 01/09/08
30 10 7 36090 36093 Covering by Flavio Perona 01/09/08
31 10 7 46976 47029 Covering by Flavio Perona 01/09/08
21 5 4 1247 1251 Covering by Anastasios Tampakis 01/18/08
23 9 7 11848 11849 Covering by Flavio Perona 01/22/08
24 9 7 17288 17299 Covering by Flavio Perona 01/22/08
25 9 7 23413 23414 Covering by Flavio Perona 01/22/08
27 9 7 44148 44164 Covering by Flavio Perona 01/22/08
28 10 7 20153 20160 Covering by Flavio Perona 01/22/08
29 10 7 27569 27578 Covering by Flavio Perona 01/22/08
30 10 7 36083 36090 Covering by Flavio Perona 01/22/08
31 10 7 46943 46976 Covering by Flavio Perona 01/22/08
17 7 5 399 405 Covering by Anastasios Tampakis 01/30/08
23 7 5 1974 1975 Covering by Anastasios Tampakis 01/31/08
24 7 5 2597 2609 Covering by Anastasios Tampakis 01/31/08
25 7 5 3012 3163 Covering by Anastasios Tampakis 01/31/08
26 7 5 4004 4132 Simple Construction: combined (25,7,5) and (25,6,4)-coverings 01/31/08
27 8 6 16521 16574 Simple Construction: combined (26,8,6) and (26,7,5)-coverings 01/31/08
28 9 7 60669 60722 Simple Construction: combined (27,9,7) and (27,8,6)-coverings 01/31/08
25 7 5 2952 3012 Covering by Anastasios Tampakis 02/01/08
26 7 5 3944 4004 Simple Construction: combined (25,7,5) and (25,6,4)-coverings 02/01/08
27 8 6 16462 16521 Simple Construction: combined (26,8,6) and (26,7,5)-coverings 02/01/08
28 9 7 60610 60669 Simple Construction: combined (27,9,7) and (27,8,6)-coverings 02/01/08
24 7 5 2589 2597 Covering by Anastasios Tampakis 02/04/08
22 7 5 1691 1701 Covering by Anastasios Tampakis 02/04/08
22 7 5 1690 1691 Covering by Anastasios Tampakis 02/04/08
24 7 5 2588 2589 Covering by Anastasios Tampakis 02/04/08
15 8 6 281 283 Covering by Jan de Heer and Steve Muir 02/05/08
17 7 5 398 399 Covering by Jan de Heer and Steve Muir 02/05/08
17 9 7 845 846 Covering by Jan de Heer and Steve Muir 02/05/08
18 8 6 917 918 Covering by Jan de Heer and Steve Muir 02/05/08
19 7 6 4414 4534 Covering by Jan de Heer and Steve Muir 02/05/08
20 7 5 980 1003 Covering by Riccardo Bertolo and Jan de Heer 02/05/08
21 7 5 1296 1320 Covering by Riccardo Bertolo and Jan de Heer 02/05/08
21 10 7 2163 2176 Covering by Jan de Heer and Steve Muir 02/05/08
22 7 5 1649 1690 Covering by Jan de Heer and Steve Muir 02/05/08
22 9 7 8024 8052 Covering by Jan de Heer and Steve Muir 02/05/08
22 10 8 12769 12862 Covering by Jan de Heer and Steve Muir 02/05/08
23 7 5 1948 1974 Covering by Jan de Heer and Steve Muir 02/05/08
23 9 7 11805 11848 Covering by Jan de Heer and Steve Muir 02/05/08
23 10 7 4607 4648 Covering by Jan de Heer and Steve Muir 02/05/08
23 11 8 7287 7805 Covering by Jan de Heer and Steve Muir 02/05/08
24 7 5 2586 2588 Covering by Jan de Heer and Steve Muir 02/05/08
24 9 7 17224 17288 Covering by Jan de Heer and Steve Muir 02/05/08
24 10 7 6134 6326 Covering by Jan de Heer and Steve Muir 02/05/08
24 10 8 31495 31826 Covering by Jan de Heer and Steve Muir 02/05/08
24 11 7 2705 2742 Covering by Jan de Heer and Steve Muir 02/05/08
24 16 6 49 51 Covering by Jan de Heer and Steve Muir 02/05/08
25 8 6 9718 9723 Covering by Jan de Heer and Steve Muir 02/05/08
25 10 7 8440 8483 Covering by Jan de Heer and Steve Muir 02/05/08
25 15 6 99 101 Covering by Jan de Heer and Steve Muir 02/05/08
26 7 5 3925 3944 Covering by Jan de Heer and Steve Muir 02/05/08
26 8 6 12224 12518 Covering by Jan de Heer and Steve Muir 02/05/08
26 10 7 10960 11291 Covering by Jan de Heer and Steve Muir 02/05/08
26 11 7 5242 5261 Covering by Jan de Heer and Steve Muir 02/05/08
27 7 6 50043 50062 Covering by Jan de Heer and Steve Muir 02/05/08
27 8 6 16059 16462 Covering by Jan de Heer and Steve Muir 02/05/08
27 10 7 14967 15469 Covering by Jan de Heer and Steve Muir 02/05/08
27 12 8 14072 14273 Covering by Jan de Heer and Steve Muir 02/05/08
28 8 6 19493 19795 Covering by Jan de Heer and Steve Muir 02/05/08
28 10 7 19854 20153 Covering by Jan de Heer and Steve Muir 02/05/08
28 16 5 54 55 Covering by Jan de Heer and Steve Muir 02/05/08
29 8 6 24049 24314 Covering by Jan de Heer and Steve Muir 02/05/08
29 9 6 9744 9746 Covering by Jan de Heer and Steve Muir 02/05/08
29 10 7 26882 27569 Covering by Jan de Heer and Steve Muir 02/05/08
30 8 6 30179 30437 Covering by Jan de Heer and Steve Muir 02/05/08
30 9 6 12075 12129 Covering by Jan de Heer and Steve Muir 02/05/08
30 15 5 96 102 Covering by Jan de Heer and Steve Muir 02/05/08
30 16 8 1801 1805 Covering by Jan de Heer and Steve Muir 02/05/08
31 7 5 9946 9948 Covering by Jan de Heer and Steve Muir 02/05/08
31 8 6 37545 37948 Covering by Jan de Heer and Steve Muir 02/05/08
31 10 7 46053 46943 Covering by Jan de Heer and Steve Muir 02/05/08
31 15 7 1511 1512 Covering by Jan de Heer and Steve Muir 02/05/08
32 8 6 47398 47719 Covering by Jan de Heer and Steve Muir 02/05/08
32 11 7 25131 25726 Covering by Jan de Heer and Steve Muir 02/05/08
32 12 6 2699 2759 Covering by Jan de Heer and Steve Muir 02/05/08
32 12 7 12719 12821 Covering by Jan de Heer and Steve Muir 02/05/08
32 13 7 5873 6723 Covering by Jan de Heer and Steve Muir 02/05/08
32 16 8 3302 3309 Covering by Jan de Heer and Steve Muir 02/05/08
28 7 6 64835 64854 Simple Construction: combined (27,7,6) and (27,6,5)-coverings 02/05/08
29 8 7 257964 257986 Simple Construction: combined (28,8,7) and (28,7,6)-coverings 02/05/08
28 9 7 60201 60610 Simple Construction: combined (27,9,7) and (27,8,6)-coverings 02/05/08
30 9 7 101950 102114 Simple Construction: combined (29,9,7) and (29,8,6)-coverings 02/05/08
32 10 7 61762 61835 Simple Construction: combined (31,10,7) and (31,9,6)-coverings 02/05/08
26 8 6 12222 12224 Covering by Flavio Perona 02/06/08
21 7 6 9254 9284 Sidorenko method 02/06/08
32 9 6 19759 19776 Sidorenko method 02/06/08
22 8 7 26759 26804 Sidorenko method 02/06/08
24 8 7 55854 55864 Sidorenko method 02/06/08
28 8 7 193070 193132 Sidorenko method 02/06/08
30 8 7 337209 337272 Sidorenko method 02/06/08
32 8 7 562187 562251 Sidorenko method 02/06/08
27 9 7 43911 44148 Sidorenko method 02/06/08
28 9 7 60146 60201 Sidorenko method 02/06/08
29 9 7 77043 77939 Sidorenko method 02/06/08
30 9 7 101253 101950 Sidorenko method 02/06/08
31 9 7 128875 130421 Sidorenko method 02/06/08
32 9 7 166153 167445 Sidorenko method 02/06/08
23 9 8 72322 72324 Sidorenko method 02/06/08
31 9 8 1252720 1252813 Sidorenko method 02/06/08
25 10 8 48049 48200 Sidorenko method 02/06/08
26 10 8 69879 69985 Sidorenko method 02/06/08
28 10 8 142515 142775 Sidorenko method 02/06/08
29 10 8 202060 202916 Sidorenko method 02/06/08
30 10 8 271390 272989 Sidorenko method 02/06/08
31 10 8 372326 373788 Sidorenko method 02/06/08
32 10 8 489285 493222 Sidorenko method 02/06/08
25 11 8 16919 17275 Sidorenko method 02/06/08
27 11 8 34376 34878 Sidorenko method 02/06/08
29 11 8 66535 66889 Sidorenko method 02/06/08
30 11 8 92758 93247 Sidorenko method 02/06/08
31 11 8 125680 125960 Sidorenko method 02/06/08
27 8 6 16057 16059 Covering by Flavio Perona 02/07/08
29 8 7 257905 257964 Simple Construction: combined (28,8,7) and (28,7,6)-coverings 02/07/08
31 8 7 442095 442160 Simple Construction: combined (30,8,7) and (30,7,6)-coverings 02/07/08
28 9 7 59956 60146 Simple Construction: combined (27,9,7) and (27,8,6)-coverings 02/07/08
30 9 7 101059 101253 Simple Construction: combined (29,9,7) and (29,8,6)-coverings 02/07/08
30 9 8 929350 929443 Simple Construction: combined (29,9,8) and (29,8,7)-coverings 02/07/08
32 9 8 1694815 1694973 Simple Construction: combined (31,9,8) and (31,8,7)-coverings 02/07/08
27 9 7 43848 43911 Covering by Flavio Perona 02/14/08
27 10 7 14965 14967 Covering by Flavio Perona 02/14/08
28 10 7 19849 19854 Covering by Flavio Perona 02/14/08
31 10 7 46044 46053 Covering by Flavio Perona 02/14/08
28 9 7 59899 59956 Simple Construction: combined (27,9,7) and (27,8,6)-coverings 02/14/08
24 7 5 2585 2586 Covering by Anastasios Tampakis 02/19/08
21 7 6 9219 9254 Covering by Jan de Heer and Steve Muir 02/22/08
21 10 4 49 51 Covering by Jan de Heer and Steve Muir 02/22/08
24 7 5 2582 2585 Covering by Jan de Heer and Steve Muir 02/22/08
24 11 8 11379 11826 Covering by Jan de Heer and Steve Muir 02/22/08
25 9 7 23391 23413 Covering by Jan de Heer and Steve Muir 02/22/08
25 11 8 16411 16919 Covering by Jan de Heer and Steve Muir 02/22/08
26 8 6 12206 12222 Covering by Jan de Heer and Steve Muir 02/22/08
26 9 7 32887 33031 Covering by Jan de Heer and Steve Muir 02/22/08
26 11 8 23670 24902 Covering by Jan de Heer and Steve Muir 02/22/08
27 6 5 14761 14792 Covering by Jan de Heer and Steve Muir 02/22/08
27 8 6 16048 16057 Covering by Jan de Heer and Steve Muir 02/22/08
28 6 5 18249 18258 Covering by Jan de Heer and Steve Muir 02/22/08
28 7 6 64276 64835 Covering by Jan de Heer and Steve Muir 02/22/08
28 9 7 59837 59899 Covering by Jan de Heer and Steve Muir 02/22/08
29 6 5 22433 22675 Covering by Jan de Heer and Steve Muir 02/22/08
31 10 7 45810 46044 Covering by Jan de Heer and Steve Muir 02/22/08
32 9 6 19539 19759 Covering by Jan de Heer and Steve Muir 02/22/08
30 7 6 104661 104897 Simple Construction: combined (29,7,6) and (29,6,5)-coverings 02/22/08
29 8 7 257324 257905 Simple Construction: combined (28,8,7) and (28,7,6)-coverings 02/22/08
31 8 7 441861 442095 Simple Construction: combined (30,8,7) and (30,7,6)-coverings 02/22/08
32 10 7 61517 61762 Simple Construction: combined (31,10,7) and (31,9,6)-coverings 02/22/08
30 9 8 928776 929350 Simple Construction: combined (29,9,8) and (29,8,7)-coverings 02/22/08
32 9 8 1694581 1694815 Simple Construction: combined (31,9,8) and (31,8,7)-coverings 02/22/08
27 8 3 72 74 Covering by Anastasios Tampakis 02/22/08
28 8 3 78 79 Covering by Anastasios Tampakis 02/22/08
29 8 3 90 91 Covering by Anastasios Tampakis 02/22/08
27 8 3 71 72 Covering by Anastasios Tampakis 02/23/08
28 8 3 77 78 Covering by Anastasios Tampakis 02/23/08
26 8 7 106299 106314 Covering by Flavio Perona 02/23/08
31 8 6 37541 37545 Covering by Flavio Perona 02/23/08
32 8 6 47386 47398 Covering by Flavio Perona 02/23/08
30 7 6 104474 104661 Sidorenko method 02/23/08
22 8 7 26713 26759 Sidorenko method 02/23/08
24 8 7 55810 55854 Sidorenko method 02/23/08
28 8 7 193057 193070 Sidorenko method 02/23/08
30 8 7 337198 337209 Sidorenko method 02/23/08
31 8 7 441376 441861 Sidorenko method 02/23/08
32 8 7 562175 562187 Sidorenko method 02/23/08
29 9 7 76986 77043 Sidorenko method 02/23/08
30 9 7 100943 101059 Sidorenko method 02/23/08
31 9 7 128817 128875 Sidorenko method 02/23/08
32 9 7 165850 166153 Sidorenko method 02/23/08
23 9 8 72233 72322 Sidorenko method 02/23/08
25 9 8 164792 164908 Sidorenko method 02/23/08
27 9 8 343679 343773 Sidorenko method 02/23/08
31 9 8 1252705 1252720 Sidorenko method 02/23/08
32 9 8 1693664 1694581 Sidorenko method 02/23/08
26 10 8 69836 69879 Sidorenko method 02/23/08
28 10 8 142389 142515 Sidorenko method 02/23/08
29 10 8 201544 202060 Sidorenko method 02/23/08
30 10 8 271178 271390 Sidorenko method 02/23/08
31 10 8 371267 372326 Sidorenko method 02/23/08
32 10 8 488982 489285 Sidorenko method 02/23/08
27 11 8 33874 34376 Sidorenko method 02/23/08
28 11 8 47723 48931 Sidorenko method 02/23/08
29 11 8 66034 66535 Sidorenko method 02/23/08
30 11 8 91546 92758 Sidorenko method 02/23/08
31 11 8 125206 125680 Sidorenko method 02/23/08
32 11 8 167355 168400 Sidorenko method 02/23/08
25 10 7 8437 8440 Covering by Flavio Perona 02/25/08
26 10 7 10959 10960 Covering by Flavio Perona 02/25/08
27 10 7 14964 14965 Covering by Flavio Perona 02/25/08
28 10 7 19848 19849 Covering by Flavio Perona 02/25/08
29 10 7 26876 26882 Covering by Flavio Perona 02/25/08
30 10 7 36082 36083 Covering by Flavio Perona 02/25/08
31 10 7 45800 45810 Covering by Flavio Perona 02/25/08
21 8 4 126 127 Covering by Anastasios Tampakis 02/25/08
24 8 4 227 234 Covering by Anastasios Tampakis 02/25/08
21 8 4 125 126 Covering by Anastasios Tampakis 02/25/08
24 11 5 204 204 Dynamic programming covering 02/25/08
24 11 5 203 204 Covering by Alessandro Jurcovich 02/26/08
24 11 5 194 203 Covering by Jan de Heer and Steve Muir 02/28/08
27 8 3 70 71 Covering by Anastasios Tampakis 03/03/08
28 8 3 76 77 Covering by Anastasios Tampakis 03/03/08
29 8 3 88 90 Covering by Anastasios Tampakis 03/03/08
24 7 5 2581 2582 Covering by Anastasios Tampakis 03/03/08
24 9 7 17223 17224 Covering by Flavio Perona 03/03/08
25 9 7 23383 23391 Covering by Flavio Perona 03/03/08
26 9 7 32856 32887 Covering by Flavio Perona 03/03/08
28 9 8 480708 488658 Greedy covering 03/03/08
29 9 8 650404 671485 Greedy covering 03/03/08
30 9 8 879517 928776 Greedy covering 03/03/08
31 9 8 1174351 1252705 Greedy covering 03/03/08
32 9 8 1530641 1693664 Greedy covering 03/03/08
27 10 8 100709 101950 Greedy covering 03/03/08
28 10 8 140417 142389 Greedy covering 03/03/08
29 10 8 193066 201544 Greedy covering 03/03/08
30 10 8 262146 271178 Greedy covering 03/05/08
31 10 8 351807 371267 Greedy covering 03/05/08
32 10 8 467414 488982 Greedy covering 03/05/08
21 8 4 124 125 Covering by Anastasios Tampakis 03/06/08
24 7 5 2580 2581 Covering by Jan de Heer and Steve Muir 03/06/08
31 8 7 428036 441376 Simple Construction: induced on (32,9,8) covering 03/06/08
32 8 7 554567 562175 Simple Construction: combined (31,8,7) and (31,7,6)-coverings 03/06/08
25 10 8 48047 48049 Sidorenko method 03/07/08
26 10 8 69829 69836 Sidorenko method 03/07/08
27 11 8 33872 33874 Sidorenko method 03/07/08
30 11 8 91540 91546 Sidorenko method 03/07/08
31 11 8 125202 125206 Sidorenko method 03/07/08
32 11 8 167334 167355 Sidorenko method 03/07/08
22 8 4 156 157 Covering by Anastasios Tampakis 03/13/08
23 8 4 195 196 Covering by Anastasios Tampakis 03/13/08
21 14 8 214 223 Covering by Barnabas Toth 03/17/08
22 14 8 278 281 Covering by Barnabas Toth 03/17/08
27 16 7 233 240 Covering by Jan de Heer and Steve Muir 03/20/08
21 14 8 211 214 Covering by Jan de Heer and Steve Muir 03/20/08
22 14 8 277 278 Covering by Jan de Heer and Steve Muir 03/20/08
22 13 6 106 108 Covering by Jan de Heer and Steve Muir 03/20/08
23 15 8 228 243 Covering by Jan de Heer and Steve Muir 03/20/08
22 14 7 134 142 Covering by Jan de Heer and Steve Muir 03/20/08
25 16 7 146 148 Dynamic programming covering 03/20/08
25 9 4 163 168 Covering by Anastasios Tampakis 03/21/08
29 8 6 24043 24049 Covering by Flavio Perona 03/25/08
30 8 6 30176 30179 Covering by Flavio Perona 03/25/08
30 7 5 7782 7783 Covering by Michael Dambmann 04/14/08
30 7 5 7781 7782 Covering by Jan de Heer and Steve Muir 04/17/08
30 7 5 7780 7781 Covering by Jan de Heer and Steve Muir 04/17/08
25 16 8 303 307 Covering by Barnabas Toth 04/18/08
16 8 6 390 394 Covering by Anastasios Tampakis 04/24/08
20 10 7 1325 1386 Covering by Barnabas Toth 04/24/08
21 11 8 2712 2971 Covering by Barnabas Toth 04/24/08
18 10 7 510 511 Covering by Anastasios Tampakis 04/28/08
19 10 7 836 876 Covering by Anastasios Tampakis 04/28/08
20 10 7 1309 1325 Covering by Anastasios Tampakis 04/28/08
20 10 7 1308 1309 Covering by Anastasios Tampakis 04/28/08
19 10 7 834 836 Covering by Anastasios Tampakis 04/28/08
20 10 7 1302 1308 Covering by Anastasios Tampakis 04/28/08
19 10 7 830 834 Covering by Jan de Heer and Steve Muir 04/29/08
20 10 7 1296 1302 Covering by Jan de Heer and Steve Muir 04/29/08
22 10 7 3144 3283 Covering by Jan de Heer and Steve Muir 04/29/08
24 16 8 196 201 Covering by Jan de Heer and Steve Muir 04/29/08
25 16 8 302 303 Covering by Jan de Heer and Steve Muir 04/29/08
18 10 7 509 510 Covering by Jan de Heer and Steve Muir 04/29/08
16 9 6 169 170 Covering by Alexandre Spaeth 04/30/08
23 14 8 450 452 Covering by Barnabas Toth 05/05/08
23 14 8 447 450 Covering by Barnabas Toth 05/05/08
23 14 8 445 447 Covering by Jan de Heer and Steve Muir 05/06/08
21 12 6 129 132 Covering by Barnabas Toth 05/06/08
22 13 7 243 248 Covering by Barnabas Toth 05/06/08
22 13 7 242 243 Covering by Jan de Heer and Steve Muir 05/08/08
21 12 6 128 129 Covering by Jan de Heer and Steve Muir 05/08/08
21 11 8 2711 2712 Covering by Barnabas Toth 05/08/08