Information on Result #599247
There is no digital (78, 228, 251)-net over F3, because extracting embedded orthogonal array would yield linear OA(3228, 251, F3, 150) (dual of [251, 23, 151]-code), but
- residual code [i] would yield OA(378, 100, S3, 50), but
- the linear programming bound shows that M ≥ 38101 440069 622014 833427 457285 684571 162543 165529 / 2181 771007 > 378 [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 (78, 229, 251)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (78, 230, 251)-net over F3 | [i] | ||