Information on Result #599231
There is no digital (76, 223, 245)-net over F3, because extracting embedded orthogonal array would yield linear OA(3223, 245, F3, 147) (dual of [245, 22, 148]-code), but
- residual code [i] would yield OA(376, 97, S3, 49), but
- the linear programming bound shows that M ≥ 66 667260 167200 192792 582029 034457 444120 479902 391671 / 35 100724 925000 > 376 [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 (76, 224, 245)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (76, 225, 245)-net over F3 | [i] | ||