Information on Result #599064
There is no digital (54, 159, 183)-net over F3, because extracting embedded orthogonal array would yield linear OA(3159, 183, F3, 105) (dual of [183, 24, 106]-code), but
- residual code [i] would yield OA(354, 77, S3, 35), but
- the linear programming bound shows that M ≥ 49772 879413 668128 111108 466099 084271 883739 / 760 672693 173302 > 354 [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 (54, 160, 183)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (54, 161, 183)-net over F3 | [i] | ||