Information on Result #599302
There is no digital (84, 246, 269)-net over F3, because extracting embedded orthogonal array would yield linear OA(3246, 269, F3, 162) (dual of [269, 23, 163]-code), but
- residual code [i] would yield OA(384, 106, S3, 54), but
- the linear programming bound shows that M ≥ 554636 234644 780595 906506 938993 021399 906097 624808 134107 / 34 652730 233275 > 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, 247, 269)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (84, 248, 269)-net over F3 | [i] | ||