Information on Result #599422
There is no digital (39, 139, 245)-net over F4, because extracting embedded orthogonal array would yield linear OA(4139, 245, F4, 100) (dual of [245, 106, 101]-code), but
- residual code [i] would yield OA(439, 144, S4, 25), but
- the linear programming bound shows that M ≥ 451 194621 572690 925216 028943 220812 151783 424000 / 1452 353674 315137 592771 > 439 [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 (39, 140, 245)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (39, 141, 245)-net over F4 | [i] | ||
| 3 | No digital (39, 142, 245)-net over F4 | [i] | ||