Information on Result #599134
There is no digital (63, 183, 214)-net over F3, because extracting embedded orthogonal array would yield linear OA(3183, 214, F3, 120) (dual of [214, 31, 121]-code), but
- residual code [i] would yield OA(363, 93, S3, 40), but
- the linear programming bound shows that M ≥ 3 468104 662873 063250 302984 700066 235894 540957 / 2 937118 328933 > 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, 184, 214)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (63, 185, 214)-net over F3 | [i] | ||