Information on Result #599236
There is no digital (77, 224, 251)-net over F3, because extracting embedded orthogonal array would yield linear OA(3224, 251, F3, 147) (dual of [251, 27, 148]-code), but
- residual code [i] would yield OA(377, 103, S3, 49), but
- the linear programming bound shows that M ≥ 8470 149378 157269 771857 894429 320739 143641 791503 335921 / 1479 143206 662100 > 377 [i]
Mode: Bound (linear).
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 digital (77, 225, 251)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (77, 226, 251)-net over F3 | [i] | ||