Information on Result #599048
There is no digital (52, 151, 185)-net over F3, because extracting embedded orthogonal array would yield linear OA(3151, 185, F3, 99) (dual of [185, 34, 100]-code), but
- residual code [i] would yield OA(352, 85, S3, 33), but
- the linear programming bound shows that M ≥ 860342 754412 435094 906698 858579 674571 922984 984079 / 127652 777684 493779 532100 > 352 [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 (52, 152, 185)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (52, 153, 185)-net over F3 | [i] | ||