Information on Result #524098
There is no (3, 49, 275)-net in base 25, because extracting embedded orthogonal array would yield OA(2549, 275, S25, 46), but
- the linear programming bound shows that M ≥ 6 430313 750241 332147 612039 871646 663038 243180 749329 590988 917770 832955 511650 652624 666690 826416 015625 / 20311 023951 484409 636688 674357 > 2549 [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, 50, 275)-net in base 25 | [i] | m-Reduction | |
| 2 | No (3, 51, 275)-net in base 25 | [i] | ||
| 3 | No (3, 52, 275)-net in base 25 | [i] | ||
| 4 | No (3, 53, 275)-net in base 25 | [i] | ||
| 5 | No (3, 54, 275)-net in base 25 | [i] | ||
| 6 | No (3, 55, 275)-net in base 25 | [i] | ||
| 7 | No (3, 56, 275)-net in base 25 | [i] | ||
| 8 | No (3, 57, 275)-net in base 25 | [i] | ||
| 9 | No (3, 58, 275)-net in base 25 | [i] | ||