Information on Result #599300
There is no digital (84, 240, 284)-net over F3, because extracting embedded orthogonal array would yield linear OA(3240, 284, F3, 156) (dual of [284, 44, 157]-code), but
- residual code [i] would yield OA(384, 127, S3, 52), but
- the linear programming bound shows that M ≥ 75093 992178 172944 979964 312324 767811 438315 782053 828257 111860 508367 900579 / 6 152332 044204 270968 974779 651985 > 384 [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 (84, 241, 284)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (84, 242, 284)-net over F3 | [i] | ||