Information on Result #524128
There is no (3, 90, 96)-net in base 25, because extracting embedded orthogonal array would yield OA(2590, 96, S25, 87), but
- the linear programming bound shows that M ≥ 13 668865 221078 739256 015071 809629 879850 936124 576679 322503 501034 318504 064092 312472 780759 593604 486823 448240 784273 366443 812847 137451 171875 / 20 559539 > 2590 [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 (3, 91, 96)-net in base 25 | [i] | m-Reduction | |
| 2 | No (3, 92, 96)-net in base 25 | [i] | ||
| 3 | No (3, 93, 96)-net in base 25 | [i] | ||
| 4 | No (3, 94, 96)-net in base 25 | [i] | ||
| 5 | No (3, 95, 96)-net in base 25 | [i] | ||
| 6 | No (3, 96, 96)-net in base 25 | [i] | ||
| 7 | No (3, 97, 96)-net in base 25 | [i] | ||
| 8 | No (3, 98, 96)-net in base 25 | [i] | ||
| 9 | No (3, 99, 96)-net in base 25 | [i] | ||
| 10 | No (3, 100, 96)-net in base 25 | [i] | ||
| 11 | No (3, 101, 96)-net in base 25 | [i] | ||
| 12 | No (3, 102, 96)-net in base 25 | [i] | ||
| 13 | No (3, 103, 96)-net in base 25 | [i] | ||
| 14 | No (3, 104, 96)-net in base 25 | [i] | ||
| 15 | No (3, 105, 96)-net in base 25 | [i] | ||
| 16 | No (3, 106, 96)-net in base 25 | [i] | ||
| 17 | No (3, 107, 96)-net in base 25 | [i] | ||
| 18 | No (3, 108, 96)-net in base 25 | [i] | ||
| 19 | No (3, 109, 96)-net in base 25 | [i] | ||
| 20 | No (3, 110, 96)-net in base 25 | [i] | ||
| 21 | No (3, m, 96)-net in base 25 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |