Information on Result #599489
There is no digital (48, 184, 237)-net over F4, because extracting embedded orthogonal array would yield linear OA(4184, 237, F4, 136) (dual of [237, 53, 137]-code), but
- residual code [i] would yield OA(448, 100, S4, 34), but
- the linear programming bound shows that M ≥ 9058 957890 512598 877597 243353 229194 029550 244654 789588 151723 066658 722038 162924 682285 684121 927080 009184 894902 538211 707610 394949 320704 / 112877 238751 180015 015346 131872 600873 922049 184597 216985 800847 416342 964009 902792 675071 874309 392551 306831 > 448 [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 (48, 185, 237)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (48, 186, 237)-net over F4 | [i] | ||
| 3 | No digital (48, 187, 237)-net over F4 | [i] | ||