Information on Result #599119
There is no digital (61, 181, 199)-net over F3, because extracting embedded orthogonal array would yield linear OA(3181, 199, F3, 120) (dual of [199, 18, 121]-code), but
- residual code [i] would yield OA(361, 78, S3, 40), but
- the linear programming bound shows that M ≥ 3904 915634 579720 805714 510866 149518 645975 / 27453 221324 > 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, 182, 199)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (61, 183, 199)-net over F3 | [i] | ||