Information on Result #546881
There is no linear OA(3211, 246, F3, 138) (dual of [246, 35, 139]-code), because residual code 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3212, 247, F3, 139) (dual of [247, 35, 140]-code) | [i] | Truncation | |
| 2 | No linear OA(3213, 248, F3, 140) (dual of [248, 35, 141]-code) | [i] | ||
| 3 | No linear OOA(3212, 246, F3, 2, 139) (dual of [(246, 2), 280, 140]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3213, 246, F3, 2, 140) (dual of [(246, 2), 279, 141]-NRT-code) | [i] | ||
| 5 | No linear OOA(3211, 246, F3, 2, 138) (dual of [(246, 2), 281, 139]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3211, 246, F3, 3, 138) (dual of [(246, 3), 527, 139]-NRT-code) | [i] | ||
| 7 | No linear OOA(3211, 246, F3, 4, 138) (dual of [(246, 4), 773, 139]-NRT-code) | [i] | ||
| 8 | No linear OOA(3211, 246, F3, 5, 138) (dual of [(246, 5), 1019, 139]-NRT-code) | [i] | ||
| 9 | No digital (73, 211, 246)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |