Information on Result #524253
There is no (2, 55, 248)-net in base 32, because extracting embedded orthogonal array would yield OA(3255, 248, S32, 53), but
- the linear programming bound shows that M ≥ 16062 875815 361622 591832 993088 417824 992293 220291 564835 849555 692861 231558 994841 916425 250457 423034 762815 078400 / 262402 337018 559377 249213 > 3255 [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 (2, 56, 248)-net in base 32 | [i] | m-Reduction | |
| 2 | No (2, 57, 248)-net in base 32 | [i] | ||
| 3 | No (2, 58, 248)-net in base 32 | [i] | ||
| 4 | No (2, 59, 248)-net in base 32 | [i] | ||
| 5 | No (2, 60, 248)-net in base 32 | [i] | ||