Information on Result #599028
There is no digital (49, 145, 166)-net over F3, because extracting embedded orthogonal array would yield linear OA(3145, 166, F3, 96) (dual of [166, 21, 97]-code), but
- residual code [i] would yield OA(349, 69, S3, 32), but
- the linear programming bound shows that M ≥ 216581 757923 721967 421601 778838 750385 / 815783 089121 > 349 [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 (49, 146, 166)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (49, 147, 166)-net over F3 | [i] | ||