Information on Result #599556
There is no digital (57, 225, 244)-net over F4, because extracting embedded orthogonal array would yield linear OA(4225, 244, F4, 168) (dual of [244, 19, 169]-code), but
- residual code [i] would yield OA(457, 75, S4, 42), but
- the linear programming bound shows that M ≥ 175541 891167 451460 543215 010075 896682 965259 780096 / 6 746458 181029 > 457 [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 (57, 226, 244)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (57, 227, 244)-net over F4 | [i] | ||
| 3 | No digital (57, 228, 244)-net over F4 | [i] | ||