Information on Result #599053
There is no digital (53, 146, 230)-net over F3, because extracting embedded orthogonal array would yield linear OA(3146, 230, F3, 93) (dual of [230, 84, 94]-code), but
- residual code [i] would yield OA(353, 136, S3, 31), but
- the linear programming bound shows that M ≥ 28 065209 106339 096583 292950 536466 552238 923456 737666 668230 316919 703911 / 1 370741 790957 279909 955012 441247 049995 659111 > 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, 147, 230)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (53, 148, 230)-net over F3 | [i] | ||