Information on Result #599456
There is no digital (44, 156, 275)-net over F4, because extracting embedded orthogonal array would yield linear OA(4156, 275, F4, 112) (dual of [275, 119, 113]-code), but
- residual code [i] would yield OA(444, 162, S4, 28), but
- the linear programming bound shows that M ≥ 69649 289710 882486 539188 729039 118872 574721 050141 523968 / 222 535516 159810 724394 190313 > 444 [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 (44, 157, 275)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (44, 158, 275)-net over F4 | [i] | ||
| 3 | No digital (44, 159, 275)-net over F4 | [i] | ||