Information on Result #520570
There is no (63, 127, 138)-net in base 2, because extracting embedded orthogonal array would yield OA(2127, 138, S2, 64), but
- the linear programming bound shows that M ≥ 246364 433650 759447 547483 215780 600185 094144 / 1287 > 2127 [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 (63, 128, 138)-net in base 2 | [i] | m-Reduction | |
| 2 | No (63, 129, 138)-net in base 2 | [i] | ||
| 3 | No (63, 130, 138)-net in base 2 | [i] | ||
| 4 | No (63, 131, 138)-net in base 2 | [i] | ||
| 5 | No (63, 132, 138)-net in base 2 | [i] | ||
| 6 | No (63, 133, 138)-net in base 2 | [i] | ||
| 7 | No (63, 134, 138)-net in base 2 | [i] | ||
| 8 | No (63, 135, 138)-net in base 2 | [i] | ||
| 9 | No (63, 136, 138)-net in base 2 | [i] | ||
| 10 | No (63, 137, 138)-net in base 2 | [i] | ||
| 11 | No (63, 138, 138)-net in base 2 | [i] | ||
| 12 | No (63, 139, 138)-net in base 2 | [i] | ||
| 13 | No (63, 140, 138)-net in base 2 | [i] | ||