Information on Result #558990
There is no linear OOA(3249, 261, F3, 2, 166) (dual of [(261, 2), 273, 167]-NRT-code), because 1 step m-reduction would yield linear OA(3248, 261, F3, 165) (dual of [261, 13, 166]-code), but
- residual code [i] would yield OA(383, 95, S3, 55), but
- the linear programming bound shows that M ≥ 648 778625 227853 290324 593879 307770 065609 747709 / 118144 > 383 [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(3249, 261, F3, 3, 166) (dual of [(261, 3), 534, 167]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3249, 261, F3, 4, 166) (dual of [(261, 4), 795, 167]-NRT-code) | [i] | ||
| 3 | No linear OOA(3249, 261, F3, 5, 166) (dual of [(261, 5), 1056, 167]-NRT-code) | [i] | ||