Information on Result #599159
There is no digital (66, 192, 221)-net over F3, because extracting embedded orthogonal array would yield linear OA(3192, 221, F3, 126) (dual of [221, 29, 127]-code), but
- residual code [i] would yield OA(366, 94, S3, 42), but
- the linear programming bound shows that M ≥ 1 747070 674352 666159 830908 506217 598892 875513 970337 / 51301 241878 906250 > 366 [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 (66, 193, 221)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (66, 194, 221)-net over F3 | [i] | ||