Information on Result #520108
There is no (11, 52, 19)-net in base 2, because extracting embedded OOA would yield OOA(252, 19, S2, 3, 41), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 117093 590311 632896 / 21 > 252 [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 (11, 53, 19)-net in base 2 | [i] | m-Reduction | |
| 2 | No (11, 54, 19)-net in base 2 | [i] | ||
| 3 | No (11, 55, 19)-net in base 2 | [i] | ||
| 4 | No (11, 56, 19)-net in base 2 | [i] | ||
| 5 | No (11, 57, 19)-net in base 2 | [i] | ||
| 6 | No (11, 58, 19)-net in base 2 | [i] | ||
| 7 | No (11, 59, 19)-net in base 2 | [i] | ||
| 8 | No (11, 60, 19)-net in base 2 | [i] | ||
| 9 | No (11, 61, 19)-net in base 2 | [i] | ||
| 10 | No (11, 62, 19)-net in base 2 | [i] | ||
| 11 | No (11, 63, 19)-net in base 2 | [i] | ||
| 12 | No (11, 64, 19)-net in base 2 | [i] | ||
| 13 | No (11, 65, 19)-net in base 2 | [i] | ||
| 14 | No (11, 66, 19)-net in base 2 | [i] | ||