Information on Result #599205
There is no digital (72, 216, 228)-net over F3, because extracting embedded orthogonal array would yield linear OA(3216, 228, F3, 144) (dual of [228, 12, 145]-code), but
- residual code [i] would yield OA(372, 83, S3, 48), but
- the linear programming bound shows that M ≥ 342768 675411 868196 169996 964468 602867 136719 / 13 555360 > 372 [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 (72, 217, 228)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (72, 218, 228)-net over F3 | [i] | ||