Information on Result #599430
There is no digital (40, 148, 224)-net over F4, because extracting embedded orthogonal array would yield linear OA(4148, 224, F4, 108) (dual of [224, 76, 109]-code), but
- residual code [i] would yield OA(440, 115, S4, 27), but
- the linear programming bound shows that M ≥ 929 557766 490609 787836 487564 000967 310274 723840 000000 / 708 347236 523196 849504 526399 > 440 [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 (40, 149, 224)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (40, 150, 224)-net over F4 | [i] | ||
| 3 | No digital (40, 151, 224)-net over F4 | [i] | ||