Information on Result #599160
There is no digital (66, 195, 214)-net over F3, because extracting embedded orthogonal array would yield linear OA(3195, 214, F3, 129) (dual of [214, 19, 130]-code), but
- residual code [i] would yield OA(366, 84, S3, 43), but
- the linear programming bound shows that M ≥ 3447 047885 971598 137581 249186 171087 026769 / 88 665115 > 366 [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 (66, 196, 214)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (66, 197, 214)-net over F3 | [i] | ||