Information on Result #599260
There is no digital (79, 238, 250)-net over F3, because extracting embedded orthogonal array would yield linear OA(3238, 250, F3, 159) (dual of [250, 12, 160]-code), but
- residual code [i] would yield OA(379, 90, S3, 53), but
- 1 times truncation [i] would yield OA(378, 89, S3, 52), but
- the linear programming bound shows that M ≥ 298 630446 198644 459587 118144 486403 305957 001183 / 16 135903 > 378 [i]
- 1 times truncation [i] would yield OA(378, 89, S3, 52), but
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 (79, 239, 250)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (79, 240, 250)-net over F3 | [i] | ||