Information on Result #599648
There is no digital (66, 258, 283)-net over F4, because extracting embedded orthogonal array would yield linear OA(4258, 283, F4, 192) (dual of [283, 25, 193]-code), but
- residual code [i] would yield OA(466, 90, S4, 48), but
- the linear programming bound shows that M ≥ 15992 796442 957684 354900 601418 173389 061260 037338 242442 330112 / 2 261259 518366 924075 > 466 [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 (66, 259, 283)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (66, 260, 283)-net over F4 | [i] | ||