Information on Result #599621
There is no digital (64, 224, 385)-net over F4, because extracting embedded orthogonal array would yield linear OA(4224, 385, F4, 160) (dual of [385, 161, 161]-code), but
- residual code [i] would yield OA(464, 224, S4, 40), but
- the linear programming bound shows that M ≥ 13361 740924 714558 183981 708538 240631 845789 107040 889033 084067 601409 088040 474771 456000 / 36 499780 543012 793452 506240 719222 345774 789003 > 464 [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 (64, 225, 385)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (64, 226, 385)-net over F4 | [i] | ||
| 3 | No digital (64, 227, 385)-net over F4 | [i] | ||