Information on Result #599136
There is no digital (63, 189, 201)-net over F3, because extracting embedded orthogonal array would yield linear OA(3189, 201, F3, 126) (dual of [201, 12, 127]-code), but
- residual code [i] would yield OA(363, 74, S3, 42), but
- the linear programming bound shows that M ≥ 12 034337 282839 174538 591498 251772 066709 / 10 069525 > 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, 190, 201)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (63, 191, 201)-net over F3 | [i] | ||