Information on Result #599560
There is no digital (58, 206, 342)-net over F4, because extracting embedded orthogonal array would yield linear OA(4206, 342, F4, 148) (dual of [342, 136, 149]-code), but
- residual code [i] would yield OA(458, 193, S4, 37), but
- the linear programming bound shows that M ≥ 161285 735386 400830 134445 178003 287186 762218 409717 533224 067961 483465 588736 000000 / 1 868030 896794 654733 447451 649501 557791 288931 > 458 [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 (58, 207, 342)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (58, 208, 342)-net over F4 | [i] | ||
| 3 | No digital (58, 209, 342)-net over F4 | [i] | ||