Information on Result #599095
There is no digital (58, 172, 190)-net over F3, because extracting embedded orthogonal array would yield linear OA(3172, 190, F3, 114) (dual of [190, 18, 115]-code), but
- residual code [i] would yield OA(358, 75, S3, 38), but
- the linear programming bound shows that M ≥ 425880 948792 153754 309607 908493 218857 / 85 592416 > 358 [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 (58, 173, 190)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (58, 174, 190)-net over F3 | [i] | ||