Information on Result #520482
There is no (52, 104, 116)-net in base 2, because extracting embedded orthogonal array would yield OA(2104, 116, S2, 52), but
- the linear programming bound shows that M ≥ 2271 629875 608987 087482 092144 033792 / 99 > 2104 [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 (52, 105, 116)-net in base 2 | [i] | m-Reduction | |
| 2 | No (52, 106, 116)-net in base 2 | [i] | ||
| 3 | No (52, 107, 116)-net in base 2 | [i] | ||
| 4 | No (52, 108, 116)-net in base 2 | [i] | ||
| 5 | No (52, 109, 116)-net in base 2 | [i] | ||