Information on Result #599089
There is no digital (58, 154, 270)-net over F3, because extracting embedded orthogonal array would yield linear OA(3154, 270, F3, 96) (dual of [270, 116, 97]-code), but
- residual code [i] would yield OA(358, 173, S3, 32), but
- the linear programming bound shows that M ≥ 47 314229 835710 776345 670615 418214 790563 428291 670976 086718 521800 / 9965 095822 320687 546955 148607 190123 > 358 [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 (58, 155, 270)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (58, 156, 270)-net over F3 | [i] | ||