Information on Result #599120
There is no digital (61, 184, 196)-net over F3, because extracting embedded orthogonal array would yield linear OA(3184, 196, F3, 123) (dual of [196, 12, 124]-code), but
- residual code [i] would yield OA(361, 72, S3, 41), but
- the linear programming bound shows that M ≥ 41997 386805 997720 199850 152210 995911 / 228095 > 361 [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 (61, 185, 196)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (61, 186, 196)-net over F3 | [i] | ||