Information on Result #599239
There is no digital (77, 233, 242)-net over F3, because extracting embedded orthogonal array would yield linear OA(3233, 242, F3, 156) (dual of [242, 9, 157]-code), but
- residual code [i] would yield OA(377, 85, S3, 52), but
- the linear programming bound shows that M ≥ 626561 627887 412368 936876 728064 858798 530639 / 100223 > 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, 234, 242)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (77, 235, 242)-net over F3 | [i] | ||
| 3 | No digital (77, 236, 242)-net over F3 | [i] | ||
| 4 | No digital (77, 237, 242)-net over F3 | [i] | ||
| 5 | No digital (77, 238, 242)-net over F3 | [i] | ||
| 6 | No digital (77, 239, 242)-net over F3 | [i] | ||
| 7 | No digital (77, 240, 242)-net over F3 | [i] | ||
| 8 | No digital (77, 241, 242)-net over F3 | [i] | ||
| 9 | No digital (77, 242, 242)-net over F3 | [i] | ||
| 10 | No digital (77, 243, 242)-net over F3 | [i] | ||
| 11 | No digital (77, 244, 242)-net over F3 | [i] | ||
| 12 | No digital (77, 245, 242)-net over F3 | [i] | ||
| 13 | No digital (77, 246, 242)-net over F3 | [i] | ||
| 14 | No digital (77, 247, 242)-net over F3 | [i] | ||
| 15 | No digital (77, 248, 242)-net over F3 | [i] | ||
| 16 | No digital (77, 249, 242)-net over F3 | [i] | ||
| 17 | No digital (77, 250, 242)-net over F3 | [i] | ||