Information on Result #599133
There is no digital (63, 180, 228)-net over F3, because extracting embedded orthogonal array would yield linear OA(3180, 228, F3, 117) (dual of [228, 48, 118]-code), but
- residual code [i] would yield OA(363, 110, S3, 39), but
- the linear programming bound shows that M ≥ 401 475818 140604 282392 040969 710232 145438 658389 807791 365215 582135 475407 151345 717325 294327 153062 902549 711657 673773 152251 547301 / 325 455230 806957 608121 722211 436046 187202 554897 940196 290012 728886 526860 582095 622224 001861 980520 > 363 [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 (63, 181, 228)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (63, 182, 228)-net over F3 | [i] | ||