Information on Result #599219
There is no digital (74, 221, 234)-net over F3, because extracting embedded orthogonal array would yield linear OA(3221, 234, F3, 147) (dual of [234, 13, 148]-code), but
- residual code [i] would yield OA(374, 86, S3, 49), but
- the linear programming bound shows that M ≥ 33848 221935 885216 439383 055137 261775 150629 / 151525 > 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, 222, 234)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (74, 223, 234)-net over F3 | [i] | ||