Information on Result #599472
There is no digital (46, 174, 237)-net over F4, because extracting embedded orthogonal array would yield linear OA(4174, 237, F4, 128) (dual of [237, 63, 129]-code), but
- residual code [i] would yield OA(446, 108, S4, 32), but
- the linear programming bound shows that M ≥ 7521 585930 885377 473826 532410 438434 365147 619053 743009 472248 914222 591788 142097 858560 000000 / 1 441569 793884 706534 073896 273915 521544 945772 995787 416063 963723 > 446 [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 (46, 175, 237)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (46, 176, 237)-net over F4 | [i] | ||
| 3 | No digital (46, 177, 237)-net over F4 | [i] | ||