Information on Result #599217
There is no digital (74, 215, 244)-net over F3, because extracting embedded orthogonal array would yield linear OA(3215, 244, F3, 141) (dual of [244, 29, 142]-code), but
- residual code [i] would yield OA(374, 102, S3, 47), but
- the linear programming bound shows that M ≥ 24 172059 374503 335333 710062 818989 807752 718779 974987 / 100 882765 286875 > 374 [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 (74, 216, 244)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (74, 217, 244)-net over F3 | [i] | ||