Information on Result #520433
There is no (47, 99, 105)-net in base 2, because extracting embedded orthogonal array would yield OA(299, 105, S2, 52), but
- adding a parity check bit [i] would yield OA(2100, 106, S2, 53), but
- the (dual) Plotkin bound shows that M ≥ 40 564819 207303 340847 894502 572032 / 27 > 2100 [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 (47, 100, 105)-net in base 2 | [i] | m-Reduction | |
| 2 | No (47, 101, 105)-net in base 2 | [i] | ||
| 3 | No (47, 102, 105)-net in base 2 | [i] | ||
| 4 | No (47, 103, 105)-net in base 2 | [i] | ||
| 5 | No (47, 104, 105)-net in base 2 | [i] | ||
| 6 | No (47, 105, 105)-net in base 2 | [i] | ||
| 7 | No (47, 106, 105)-net in base 2 | [i] | ||