Information on Result #520334
There is no (38, 78, 88)-net in base 2, because extracting embedded orthogonal array would yield OA(278, 88, S2, 40), but
- the linear programming bound shows that M ≥ 2795 036494 949022 651920 678912 / 7371 > 278 [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 (38, 79, 88)-net in base 2 | [i] | m-Reduction | |
| 2 | No (38, 80, 88)-net in base 2 | [i] | ||
| 3 | No (38, 81, 88)-net in base 2 | [i] | ||