Information on Result #599451
There is no digital (43, 159, 239)-net over F4, because extracting embedded orthogonal array would yield linear OA(4159, 239, F4, 116) (dual of [239, 80, 117]-code), but
- residual code [i] would yield OA(443, 122, S4, 29), but
- the linear programming bound shows that M ≥ 14974 882928 795402 502879 363014 902325 642932 640714 588160 / 186 039615 985017 664535 163073 > 443 [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 (43, 160, 239)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (43, 161, 239)-net over F4 | [i] | ||
| 3 | No digital (43, 162, 239)-net over F4 | [i] | ||