Information on Result #524252
There is no (2, 53, 249)-net in base 32, because extracting embedded orthogonal array would yield OA(3253, 249, S32, 51), but
- the linear programming bound shows that M ≥ 1 415329 045691 058293 440323 562599 182789 070899 927587 626006 470680 651402 143742 922493 081536 303831 449600 / 23691 100188 925591 > 3253 [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, 54, 249)-net in base 32 | [i] | m-Reduction | |