Information on Result #599126
There is no digital (62, 179, 217)-net over F3, because extracting embedded orthogonal array would yield linear OA(3179, 217, F3, 117) (dual of [217, 38, 118]-code), but
- residual code [i] would yield OA(362, 99, S3, 39), but
- the linear programming bound shows that M ≥ 8341 316354 832968 167115 756462 681271 298651 307150 960469 759639 / 19004 191492 894766 602246 400000 > 362 [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 (62, 180, 217)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (62, 181, 217)-net over F3 | [i] | ||