Information on Result #599308
There is no digital (85, 244, 283)-net over F3, because extracting embedded orthogonal array would yield linear OA(3244, 283, F3, 159) (dual of [283, 39, 160]-code), but
- residual code [i] would yield OA(385, 123, S3, 53), but
- the linear programming bound shows that M ≥ 18 556558 104235 515171 973211 626345 894318 538602 254870 483785 952441 / 483 199328 091023 596855 > 385 [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 (85, 245, 283)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (85, 246, 283)-net over F3 | [i] | ||