Information on Result #599301
There is no digital (84, 243, 273)-net over F3, because extracting embedded orthogonal array would yield linear OA(3243, 273, F3, 159) (dual of [273, 30, 160]-code), but
- residual code [i] would yield OA(384, 113, S3, 53), but
- the linear programming bound shows that M ≥ 220 344254 536683 114597 471552 228690 132437 887421 343564 925242 / 18336 783241 265797 > 384 [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 (84, 244, 273)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (84, 245, 273)-net over F3 | [i] | ||