Information on Result #558759
There is no linear OOA(3243, 261, F3, 2, 161) (dual of [(261, 2), 279, 162]-NRT-code), because 2 step m-reduction would yield linear OA(3241, 261, F3, 159) (dual of [261, 20, 160]-code), but
- residual code [i] would yield OA(382, 101, S3, 53), but
- the linear programming bound shows that M ≥ 10993 355000 871367 562211 653536 372020 125189 985096 / 6 532165 > 382 [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(3243, 261, F3, 3, 161) (dual of [(261, 3), 540, 162]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3243, 261, F3, 4, 161) (dual of [(261, 4), 801, 162]-NRT-code) | [i] | ||
| 3 | No linear OOA(3243, 261, F3, 5, 161) (dual of [(261, 5), 1062, 162]-NRT-code) | [i] | ||