Information on Result #599256
There is no digital (79, 226, 270)-net over F3, because extracting embedded orthogonal array would yield linear OA(3226, 270, F3, 147) (dual of [270, 44, 148]-code), but
- residual code [i] would yield OA(379, 122, S3, 49), but
- the linear programming bound shows that M ≥ 2 696619 084610 776501 344031 056269 137248 595352 418845 365791 957429 212653 / 47840 556342 766214 122108 158565 > 379 [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 (79, 227, 270)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (79, 228, 270)-net over F3 | [i] | ||