Information on Result #599765
There is no digital (34, 149, 275)-net over F5, because extracting embedded orthogonal array would yield linear OA(5149, 275, F5, 115) (dual of [275, 126, 116]-code), but
- residual code [i] would yield OA(534, 159, S5, 23), but
- 1 times truncation [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]
- 1 times truncation [i] would yield OA(533, 158, S5, 22), but
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 (34, 150, 275)-net over F5 | [i] | m-Reduction | |