Information on Result #599632
There is no digital (65, 229, 387)-net over F4, because extracting embedded orthogonal array would yield linear OA(4229, 387, F4, 164) (dual of [387, 158, 165]-code), but
- residual code [i] would yield OA(465, 222, S4, 41), but
- the linear programming bound shows that M ≥ 32 342197 523814 651165 392954 045591 141352 749935 799714 032461 858391 219530 982071 151362 048000 / 23186 656803 327364 360991 616330 320246 466025 092007 > 465 [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 (65, 230, 387)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (65, 231, 387)-net over F4 | [i] | ||
| 3 | No digital (65, 232, 387)-net over F4 | [i] | ||