Information on Result #522667
There is no (21, 69, 227)-net in base 5, because extracting embedded orthogonal array would yield OA(569, 227, S5, 48), but
- the linear programming bound shows that M ≥ 43120 034420 356247 799670 563974 686565 677107 191594 132870 542557 401781 346057 168107 588353 223036 392591 893672 943115 234375 / 25082 081198 310689 525487 009337 454523 517550 452334 855551 408964 686501 > 569 [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 (21, 70, 227)-net in base 5 | [i] | m-Reduction | |
| 2 | No (21, 71, 227)-net in base 5 | [i] | ||
| 3 | No (21, 72, 227)-net in base 5 | [i] | ||