Information on Result #599189
There is no digital (70, 205, 228)-net over F3, because extracting embedded orthogonal array would yield linear OA(3205, 228, F3, 135) (dual of [228, 23, 136]-code), but
- residual code [i] would yield OA(370, 92, S3, 45), but
- the linear programming bound shows that M ≥ 188 391517 236007 568713 593648 567068 308556 925762 / 64396 265375 > 370 [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 (70, 206, 228)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (70, 207, 228)-net over F3 | [i] | ||