Information on Result #599059
There is no digital (54, 144, 250)-net over F3, because extracting embedded orthogonal array would yield linear OA(3144, 250, F3, 90) (dual of [250, 106, 91]-code), but
- residual code [i] would yield OA(354, 159, S3, 30), but
- the linear programming bound shows that M ≥ 57 512545 780273 008066 954941 653603 554048 685010 751297 100155 / 986015 082551 936588 824240 203061 > 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, 145, 250)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (54, 146, 250)-net over F3 | [i] | ||