Information on Result #599135
There is no digital (63, 186, 205)-net over F3, because extracting embedded orthogonal array would yield linear OA(3186, 205, F3, 123) (dual of [205, 19, 124]-code), but
- residual code [i] would yield OA(363, 81, S3, 41), but
- the linear programming bound shows that M ≥ 645814 120288 256333 139417 572410 149042 / 494527 > 363 [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 (63, 187, 205)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (63, 188, 205)-net over F3 | [i] | ||