Information on Result #599755
There is no digital (31, 131, 271)-net over F5, because extracting embedded orthogonal array would yield linear OA(5131, 271, F5, 100) (dual of [271, 140, 101]-code), but
- residual code [i] would yield OA(531, 170, S5, 20), but
- the linear programming bound shows that M ≥ 42216 069885 091800 891878 320552 825927 734375 / 8 765861 509813 289221 > 531 [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 (31, 132, 271)-net over F5 | [i] | m-Reduction | |
| 2 | No digital (31, 133, 271)-net over F5 | [i] | ||
| 3 | No digital (31, 134, 271)-net over F5 | [i] | ||
| 4 | No digital (31, 135, 271)-net over F5 | [i] | ||