Information on Result #523405
There is no (13, 64, 242)-net in base 8, because extracting embedded orthogonal array would yield OA(864, 242, S8, 51), but
- the linear programming bound shows that M ≥ 70 232740 660466 146387 371112 364270 550714 612400 798807 017251 810317 649288 784222 788532 961057 620751 780826 891846 178327 052743 502456 032729 337117 589164 303319 040000 / 10982 962511 522080 424097 485508 217442 568541 585265 006918 081487 297620 694440 959423 507493 470379 310181 > 864 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (13, 65, 242)-net in base 8 | [i] | m-Reduction | |
| 2 | No (13, 66, 242)-net in base 8 | [i] | ||
| 3 | No (13, 67, 242)-net in base 8 | [i] | ||
| 4 | No (13, 68, 242)-net in base 8 | [i] | ||
| 5 | No (13, 69, 242)-net in base 8 | [i] | ||
| 6 | No (13, 70, 242)-net in base 8 | [i] | ||
| 7 | No (13, 71, 242)-net in base 8 | [i] | ||
| 8 | No (13, 72, 242)-net in base 8 | [i] | ||
| 9 | No (13, 73, 242)-net in base 8 | [i] | ||
| 10 | No (13, 74, 242)-net in base 8 | [i] | ||
| 11 | No (13, 75, 242)-net in base 8 | [i] | ||
| 12 | No (13, 76, 242)-net in base 8 | [i] | ||
| 13 | No (13, 77, 242)-net in base 8 | [i] | ||
| 14 | No (13, 78, 242)-net in base 8 | [i] | ||
| 15 | No (13, 79, 242)-net in base 8 | [i] | ||
| 16 | No (13, 80, 242)-net in base 8 | [i] | ||
| 17 | No (13, 81, 242)-net in base 8 | [i] | ||
| 18 | No (13, 82, 242)-net in base 8 | [i] | ||
| 19 | No (13, 83, 242)-net in base 8 | [i] | ||
| 20 | No (13, 84, 242)-net in base 8 | [i] | ||
| 21 | No (13, 85, 242)-net in base 8 | [i] | ||
| 22 | No (13, 86, 242)-net in base 8 | [i] | ||