Information on Result #599041
There is no digital (51, 150, 174)-net over F3, because extracting embedded orthogonal array would yield linear OA(3150, 174, F3, 99) (dual of [174, 24, 100]-code), but
- residual code [i] would yield OA(351, 74, S3, 33), but
- the linear programming bound shows that M ≥ 123 263670 768810 287673 347725 757839 680807 / 56 048467 475000 > 351 [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 (51, 151, 174)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (51, 152, 174)-net over F3 | [i] | ||