Information on Result #599555
There is no digital (57, 221, 257)-net over F4, because extracting embedded orthogonal array would yield linear OA(4221, 257, F4, 164) (dual of [257, 36, 165]-code), but
- residual code [i] would yield OA(457, 92, S4, 41), but
- the linear programming bound shows that M ≥ 6 100582 649939 373494 201236 613796 043446 468174 965411 145692 768274 219008 / 286 854938 046996 694993 355683 683465 > 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, 222, 257)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (57, 223, 257)-net over F4 | [i] | ||
| 3 | No digital (57, 224, 257)-net over F4 | [i] | ||