Information on Result #599249
There is no digital (78, 234, 246)-net over F3, because extracting embedded orthogonal array would yield linear OA(3234, 246, F3, 156) (dual of [246, 12, 157]-code), but
- residual code [i] would yield OA(378, 89, S3, 52), but
- the linear programming bound shows that M ≥ 298 630446 198644 459587 118144 486403 305957 001183 / 16 135903 > 378 [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 (78, 235, 246)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (78, 236, 246)-net over F3 | [i] | ||
| 3 | No digital (78, 237, 246)-net over F3 | [i] | ||
| 4 | No digital (78, 238, 246)-net over F3 | [i] | ||
| 5 | No digital (78, 239, 246)-net over F3 | [i] | ||