Information on Result #599533
There is no digital (55, 203, 293)-net over F4, because extracting embedded orthogonal array would yield linear OA(4203, 293, F4, 148) (dual of [293, 90, 149]-code), but
- residual code [i] would yield OA(455, 144, S4, 37), but
- the linear programming bound shows that M ≥ 8531 459492 474233 301926 174796 532559 659169 361619 057384 079100 594036 798926 268886 155264 000000 / 6 295882 403116 171983 140577 568447 723788 871703 289647 780291 > 455 [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 (55, 204, 293)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (55, 205, 293)-net over F4 | [i] | ||
| 3 | No digital (55, 206, 293)-net over F4 | [i] | ||