Information on Result #520495
There is no (53, 252, 65)-net in base 2, because extracting embedded OOA would yield OOA(2252, 65, S2, 4, 199), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 43422 033463 993573 283839 119378 257965 444976 244249 615211 514796 594002 967423 614976 / 5 > 2252 [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, 253, 65)-net in base 2 | [i] | m-Reduction | |
| 2 | No (53, 254, 65)-net in base 2 | [i] | ||
| 3 | No (53, 255, 65)-net in base 2 | [i] | ||
| 4 | No (53, 256, 65)-net in base 2 | [i] | ||
| 5 | No (53, 257, 65)-net in base 2 | [i] | ||
| 6 | No (53, 258, 65)-net in base 2 | [i] | ||
| 7 | No (53, 259, 65)-net in base 2 | [i] | ||
| 8 | No (53, 260, 65)-net in base 2 | [i] | ||