Information on Result #599224
There is no digital (75, 219, 245)-net over F3, because extracting embedded orthogonal array would yield linear OA(3219, 245, F3, 144) (dual of [245, 26, 145]-code), but
- residual code [i] would yield OA(375, 100, S3, 48), but
- the linear programming bound shows that M ≥ 226 805771 897859 565583 876956 237485 928730 202904 705179 / 269 019371 489414 > 375 [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 (75, 220, 245)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (75, 221, 245)-net over F3 | [i] | ||