Information on Result #599657
There is no digital (67, 259, 295)-net over F4, because extracting embedded orthogonal array would yield linear OA(4259, 295, F4, 192) (dual of [295, 36, 193]-code), but
- residual code [i] would yield OA(467, 102, S4, 48), but
- the linear programming bound shows that M ≥ 475693 928667 837098 050429 008442 895635 449460 006433 785673 218260 709740 118016 / 19 810806 413080 339108 130487 031223 > 467 [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 (67, 260, 295)-net over F4 | [i] | m-Reduction | |