Information on Result #599721
There is no digital (8, 38, 61)-net over F5, because extracting embedded orthogonal array would yield linear OA(538, 61, F5, 30) (dual of [61, 23, 31]-code), but
- construction Y1 [i] would yield
- linear OA(537, 43, F5, 30) (dual of [43, 6, 31]-code), but
- residual code [i] would yield linear OA(57, 12, F5, 6) (dual of [12, 5, 7]-code), but
- OA(523, 61, S5, 18), but
- the linear programming bound shows that M ≥ 6321 833259 448409 889221 191406 250000 / 502952 782605 714137 > 523 [i]
- linear OA(537, 43, F5, 30) (dual of [43, 6, 31]-code), 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 (8, 39, 61)-net over F5 | [i] | m-Reduction | |