Information on Result #599423
There is no digital (39, 143, 222)-net over F4, because extracting embedded orthogonal array would yield linear OA(4143, 222, F4, 104) (dual of [222, 79, 105]-code), but
- residual code [i] would yield OA(439, 117, S4, 26), but
- the linear programming bound shows that M ≥ 363759 748775 180038 987523 636245 734966 329724 329420 390400 / 1 130801 960300 911622 852867 106887 > 439 [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 (39, 144, 222)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (39, 145, 222)-net over F4 | [i] | ||
| 3 | No digital (39, 146, 222)-net over F4 | [i] | ||