Information on Result #599320
There is no digital (87, 249, 291)-net over F3, because extracting embedded orthogonal array would yield linear OA(3249, 291, F3, 162) (dual of [291, 42, 163]-code), but
- residual code [i] would yield OA(387, 128, S3, 54), but
- the linear programming bound shows that M ≥ 15 952594 360793 907733 534555 089919 080786 131778 937341 232963 389196 637855 190777 / 46 108516 281082 645734 227925 699658 > 387 [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 (87, 250, 291)-net over F3 | [i] | m-Reduction | |