Information on Result #557752
There is no linear OOA(3213, 246, F3, 2, 140) (dual of [(246, 2), 279, 141]-NRT-code), because 2 step m-reduction 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, 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 OOA(3213, 246, F3, 3, 140) (dual of [(246, 3), 525, 141]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3213, 246, F3, 4, 140) (dual of [(246, 4), 771, 141]-NRT-code) | [i] | ||
| 3 | No linear OOA(3213, 246, F3, 5, 140) (dual of [(246, 5), 1017, 141]-NRT-code) | [i] | ||