Information on Result #599666
There is no digital (69, 237, 434)-net over F4, because extracting embedded orthogonal array would yield linear OA(4237, 434, F4, 168) (dual of [434, 197, 169]-code), but
- residual code [i] would yield OA(469, 265, S4, 42), but
- the linear programming bound shows that M ≥ 52348 985175 743312 195164 699043 560255 242722 252419 549522 172173 323504 377479 561128 758476 800000 / 141682 475264 470819 104457 406563 443902 424070 593403 > 469 [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 (69, 238, 434)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (69, 239, 434)-net over F4 | [i] | ||
| 3 | No digital (69, 240, 434)-net over F4 | [i] | ||