Information on Result #599052
There is no digital (53, 143, 239)-net over F3, because extracting embedded orthogonal array would yield linear OA(3143, 239, F3, 90) (dual of [239, 96, 91]-code), but
- residual code [i] would yield OA(353, 148, S3, 30), but
- the linear programming bound shows that M ≥ 29 655366 158662 334400 137851 564253 047850 828558 544874 600740 / 1 414103 374055 855272 533196 393519 > 353 [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 (53, 144, 239)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (53, 145, 239)-net over F3 | [i] | ||