Information on Result #599174
There is no digital (68, 200, 222)-net over F3, because extracting embedded orthogonal array would yield linear OA(3200, 222, F3, 132) (dual of [222, 22, 133]-code), but
- residual code [i] would yield OA(368, 89, S3, 44), but
- the linear programming bound shows that M ≥ 382869 271658 659016 501421 251365 993917 662001 / 1091 802985 > 368 [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 (68, 201, 222)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (68, 202, 222)-net over F3 | [i] | ||