Information on Result #599764
There is no digital (33, 148, 250)-net over F5, because extracting embedded orthogonal array would yield linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-code), but
- residual code [i] would yield OA(533, 134, S5, 23), but
- the linear programming bound shows that M ≥ 7 905984 850652 471068 879589 438438 415527 343750 / 66 073848 265952 909413 > 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, 149, 250)-net over F5 | [i] | m-Reduction | |
| 2 | No digital (33, 150, 250)-net over F5 | [i] | ||