Information on Result #599429
There is no digital (40, 144, 242)-net over F4, because extracting embedded orthogonal array would yield linear OA(4144, 242, F4, 104) (dual of [242, 98, 105]-code), but
- residual code [i] would yield OA(440, 137, S4, 26), but
- the linear programming bound shows that M ≥ 482 543072 349145 294988 866520 488882 831179 139598 254080 / 392 638906 322982 186151 177303 > 440 [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 (40, 145, 242)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (40, 146, 242)-net over F4 | [i] | ||
| 3 | No digital (40, 147, 242)-net over F4 | [i] | ||