Information on Result #599081
There is no digital (57, 153, 258)-net over F3, because extracting embedded orthogonal array would yield linear OA(3153, 258, F3, 96) (dual of [258, 105, 97]-code), but
- residual code [i] would yield OA(357, 161, S3, 32), but
- the linear programming bound shows that M ≥ 721213 722132 726616 769951 419548 792269 427090 005182 815014 600979 / 455 415925 085809 684165 452127 356779 > 357 [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 (57, 154, 258)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (57, 155, 258)-net over F3 | [i] | ||