Information on Result #599424
There is no digital (39, 147, 210)-net over F4, because extracting embedded orthogonal array would yield linear OA(4147, 210, F4, 108) (dual of [210, 63, 109]-code), but
- residual code [i] would yield OA(439, 101, S4, 27), but
- the linear programming bound shows that M ≥ 2142 295795 661249 783425 772725 003117 015606 758101 383863 336960 / 7086 731333 443386 538541 653392 431983 > 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, 148, 210)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (39, 149, 210)-net over F4 | [i] | ||
| 3 | No digital (39, 150, 210)-net over F4 | [i] | ||