Information on Result #520491
There is no (53, 107, 118)-net in base 2, because extracting embedded orthogonal array would yield OA(2107, 118, S2, 54), but
- the linear programming bound shows that M ≥ 6490 371073 168534 535663 120411 525120 / 33 > 2107 [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 (53, 108, 118)-net in base 2 | [i] | m-Reduction | |
| 2 | No (53, 109, 118)-net in base 2 | [i] | ||
| 3 | No (53, 110, 118)-net in base 2 | [i] | ||