Information on Result #599642
There is no digital (66, 234, 383)-net over F4, because extracting embedded orthogonal array would yield linear OA(4234, 383, F4, 168) (dual of [383, 149, 169]-code), but
- residual code [i] would yield OA(466, 214, S4, 42), but
- the linear programming bound shows that M ≥ 113 026714 592523 165071 661888 079481 443471 353704 422593 024055 302731 631761 970405 969474 549718 427811 971072 / 20291 149710 796120 930866 391420 785164 794765 888342 457078 864235 > 466 [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 (66, 235, 383)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (66, 236, 383)-net over F4 | [i] | ||
| 3 | No digital (66, 237, 383)-net over F4 | [i] | ||