Information on Result #599034
There is no digital (50, 146, 177)-net over F3, because extracting embedded orthogonal array would yield linear OA(3146, 177, F3, 96) (dual of [177, 31, 97]-code), but
- residual code [i] would yield OA(350, 80, S3, 32), but
- the linear programming bound shows that M ≥ 17966 137866 413855 600211 208294 867018 069814 838765 / 21749 437213 575033 309776 > 350 [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 (50, 147, 177)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (50, 148, 177)-net over F3 | [i] | ||