Information on Result #599110
There is no digital (60, 177, 198)-net over F3, because extracting embedded orthogonal array would yield linear OA(3177, 198, F3, 117) (dual of [198, 21, 118]-code), but
- residual code [i] would yield OA(360, 80, S3, 39), but
- the linear programming bound shows that M ≥ 10299 241947 274765 323111 769912 609288 895091 / 233101 383112 > 360 [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 (60, 178, 198)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (60, 179, 198)-net over F3 | [i] | ||