Information on Result #599796
There is no digital (18, 102, 257)-net over F7, because extracting embedded orthogonal array would yield linear OA(7102, 257, F7, 84) (dual of [257, 155, 85]-code), but
- residual code [i] would yield OA(718, 172, S7, 12), but
- the linear programming bound shows that M ≥ 4 737429 508718 418109 748150 / 2895 922947 > 718 [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 (18, 103, 257)-net over F7 | [i] | m-Reduction | |
| 2 | No digital (18, 104, 257)-net over F7 | [i] | ||