Information on Result #599284
There is no digital (82, 238, 267)-net over F3, because extracting embedded orthogonal array would yield linear OA(3238, 267, F3, 156) (dual of [267, 29, 157]-code), but
- residual code [i] would yield OA(382, 110, S3, 52), but
- the linear programming bound shows that M ≥ 36 916814 627242 513115 313210 304023 547918 724700 246946 892256 / 26125 454924 406409 > 382 [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 (82, 239, 267)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (82, 240, 267)-net over F3 | [i] | ||