Information on Result #599418
There is no digital (38, 146, 196)-net over F4, because extracting embedded orthogonal array would yield linear OA(4146, 196, F4, 108) (dual of [196, 50, 109]-code), but
- residual code [i] would yield OA(438, 87, S4, 27), but
- the linear programming bound shows that M ≥ 750676 473656 767244 506582 044594 315077 520225 769567 027200 / 9 306912 430727 497773 727968 244619 > 438 [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 (38, 147, 196)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (38, 148, 196)-net over F4 | [i] | ||
| 3 | No digital (38, 149, 196)-net over F4 | [i] | ||