Information on Result #599415
There is no digital (38, 138, 226)-net over F4, because extracting embedded orthogonal array would yield linear OA(4138, 226, F4, 100) (dual of [226, 88, 101]-code), but
- residual code [i] would yield OA(438, 125, S4, 25), but
- the linear programming bound shows that M ≥ 389 567034 474678 876680 715278 147118 516148 790886 400000 / 5089 117647 497197 040645 830161 > 438 [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 (38, 139, 226)-net over F4 | [i] | m-Reduction | |