Information on Result #599518
There is no digital (53, 193, 295)-net over F4, because extracting embedded orthogonal array would yield linear OA(4193, 295, F4, 140) (dual of [295, 102, 141]-code), but
- residual code [i] would yield OA(453, 154, S4, 35), but
- the linear programming bound shows that M ≥ 41 703398 919330 325950 392096 528863 240717 550221 075615 744173 933932 379820 486861 783040 / 484867 147795 691253 510179 077586 434709 803618 391831 > 453 [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 (53, 194, 295)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (53, 195, 295)-net over F4 | [i] | ||
| 3 | No digital (53, 196, 295)-net over F4 | [i] | ||