Information on Result #599063
There is no digital (54, 156, 194)-net over F3, because extracting embedded orthogonal array would yield linear OA(3156, 194, F3, 102) (dual of [194, 38, 103]-code), but
- residual code [i] would yield OA(354, 91, S3, 34), but
- the linear programming bound shows that M ≥ 474 977782 539634 784051 796341 060967 928894 025210 202817 107183 513784 170892 978866 150753 / 7 995136 378245 997436 849186 466159 148790 740510 898632 999345 > 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, 157, 194)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (54, 158, 194)-net over F3 | [i] | ||