Information on Result #599127
There is no digital (62, 182, 204)-net over F3, because extracting embedded orthogonal array would yield linear OA(3182, 204, F3, 120) (dual of [204, 22, 121]-code), but
- residual code [i] would yield OA(362, 83, S3, 40), but
- the linear programming bound shows that M ≥ 463 942350 761962 378112 632058 617109 511207 / 1197 196966 > 362 [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 (62, 183, 204)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (62, 184, 204)-net over F3 | [i] | ||