Information on Result #599763
There is no digital (33, 143, 269)-net over F5, because extracting embedded orthogonal array would yield linear OA(5143, 269, F5, 110) (dual of [269, 126, 111]-code), but
- residual code [i] would yield OA(533, 158, S5, 22), but
- the linear programming bound shows that M ≥ 8138 155868 573527 404198 089602 172374 725341 796875 / 64473 857393 675955 668371 > 533 [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 (33, 144, 269)-net over F5 | [i] | m-Reduction | |
| 2 | No digital (33, 145, 269)-net over F5 | [i] | ||
| 3 | No digital (33, 146, 269)-net over F5 | [i] | ||
| 4 | No digital (33, 147, 269)-net over F5 | [i] | ||