Information on Result #599223
There is no digital (75, 216, 254)-net over F3, because extracting embedded orthogonal array would yield linear OA(3216, 254, F3, 141) (dual of [254, 38, 142]-code), but
- residual code [i] would yield OA(375, 112, S3, 47), but
- the linear programming bound shows that M ≥ 28 974511 480419 672827 808226 260905 963135 337409 029245 529218 006874 / 40 722518 344192 686717 340625 > 375 [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 (75, 217, 254)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (75, 218, 254)-net over F3 | [i] | ||