Information on Result #599209
There is no digital (73, 211, 246)-net over F3, because extracting embedded orthogonal array would yield linear OA(3211, 246, F3, 138) (dual of [246, 35, 139]-code), but
- residual code [i] would yield OA(373, 107, S3, 46), but
- the linear programming bound shows that M ≥ 173 709034 524083 549814 758117 123043 291766 878451 928899 795839 / 2109 537706 365678 947800 > 373 [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 (73, 212, 246)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (73, 213, 246)-net over F3 | [i] | ||