Information on Result #599267
There is no digital (80, 230, 268)-net over F3, because extracting embedded orthogonal array would yield linear OA(3230, 268, F3, 150) (dual of [268, 38, 151]-code), but
- residual code [i] would yield OA(380, 117, S3, 50), but
- the linear programming bound shows that M ≥ 43 988919 336557 262180 077487 525672 393199 697139 692324 704712 213007 / 293033 908358 491110 749536 > 380 [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 (80, 231, 268)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (80, 232, 268)-net over F3 | [i] | ||