Information on Result #523108
There is no (15, 99, 110)-net in base 7, because extracting embedded orthogonal array would yield OA(799, 110, S7, 84), but
- the linear programming bound shows that M ≥ 1760 091261 324378 929559 119960 831347 616737 731471 918661 084961 859631 948665 704893 020113 817143 785727 / 3453 329204 > 799 [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 (15, 100, 110)-net in base 7 | [i] | m-Reduction | |
| 2 | No (15, 101, 110)-net in base 7 | [i] | ||
| 3 | No (15, 102, 110)-net in base 7 | [i] | ||
| 4 | No (15, 103, 110)-net in base 7 | [i] | ||
| 5 | No (15, 104, 110)-net in base 7 | [i] | ||
| 6 | No (15, 105, 110)-net in base 7 | [i] | ||
| 7 | No (15, 106, 110)-net in base 7 | [i] | ||
| 8 | No (15, 107, 110)-net in base 7 | [i] | ||
| 9 | No (15, 108, 110)-net in base 7 | [i] | ||
| 10 | No (15, 109, 110)-net in base 7 | [i] | ||
| 11 | No (15, 110, 110)-net in base 7 | [i] | ||