Information on Result #599270
There is no digital (80, 239, 252)-net over F3, because extracting embedded orthogonal array would yield linear OA(3239, 252, F3, 159) (dual of [252, 13, 160]-code), but
- residual code [i] would yield OA(380, 92, S3, 53), but
- the linear programming bound shows that M ≥ 2 550145 733885 710214 972383 625690 731033 510053 / 13237 > 380 [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 (80, 240, 252)-net over F3 | [i] | m-Reduction | |
2 | No digital (80, 241, 252)-net over F3 | [i] |