Information on Result #599237
There is no digital (77, 227, 246)-net over F3, because extracting embedded orthogonal array would yield linear OA(3227, 246, F3, 150) (dual of [246, 19, 151]-code), but
- residual code [i] would yield OA(377, 95, S3, 50), but
- the linear programming bound shows that M ≥ 663144 314497 742449 686720 632435 687556 544336 178409 / 110288 712508 > 377 [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 (77, 228, 246)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (77, 229, 246)-net over F3 | [i] | ||