Information on Result #599885
There is no digital (14, 104, 245)-net over F9, because extracting embedded orthogonal array would yield linear OA(9104, 245, F9, 90) (dual of [245, 141, 91]-code), but
- residual code [i] would yield OA(914, 154, S9, 10), but
- the linear programming bound shows that M ≥ 9 845183 946168 672136 787115 / 427681 338151 > 914 [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 (14, 105, 245)-net over F9 | [i] | m-Reduction | |
| 2 | No digital (14, 106, 245)-net over F9 | [i] | ||