Information on Result #599152
There is no digital (65, 194, 209)-net over F3, because extracting embedded orthogonal array would yield linear OA(3194, 209, F3, 129) (dual of [209, 15, 130]-code), but
- residual code [i] would yield OA(365, 79, S3, 43), but
- the linear programming bound shows that M ≥ 172 665163 578928 812417 146840 028215 778171 / 14 734291 > 365 [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 (65, 195, 209)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (65, 196, 209)-net over F3 | [i] | ||