Information on Result #599549
There is no digital (57, 197, 367)-net over F4, because extracting embedded orthogonal array would yield linear OA(4197, 367, F4, 140) (dual of [367, 170, 141]-code), but
- residual code [i] would yield OA(457, 226, S4, 35), but
- the linear programming bound shows that M ≥ 206446 636819 354140 257573 963708 426022 937166 140581 505377 357019 798831 104000 / 9 666005 460414 349955 896849 894230 574741 > 457 [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 (57, 198, 367)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (57, 199, 367)-net over F4 | [i] | ||
| 3 | No digital (57, 200, 367)-net over F4 | [i] | ||