Information on Result #599258
There is no digital (79, 232, 252)-net over F3, because extracting embedded orthogonal array would yield linear OA(3232, 252, F3, 153) (dual of [252, 20, 154]-code), but
- residual code [i] would yield OA(379, 98, S3, 51), but
- the linear programming bound shows that M ≥ 37359 886424 244488 451760 980773 909770 698911 495751 / 677 763515 > 379 [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 (79, 233, 252)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (79, 234, 252)-net over F3 | [i] | ||