Information on Result #599437
There is no digital (41, 153, 224)-net over F4, because extracting embedded orthogonal array would yield linear OA(4153, 224, F4, 112) (dual of [224, 71, 113]-code), but
- residual code [i] would yield OA(441, 111, S4, 28), but
- the linear programming bound shows that M ≥ 7709 702911 510783 693838 831699 200582 723072 520355 840000 / 1472 084210 434687 540905 417611 > 441 [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 (41, 154, 224)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (41, 155, 224)-net over F4 | [i] | ||
| 3 | No digital (41, 156, 224)-net over F4 | [i] | ||