Information on Result #558795
There is no linear OOA(3244, 273, F3, 2, 160) (dual of [(273, 2), 302, 161]-NRT-code), because 1 step m-reduction would yield linear OA(3243, 273, F3, 159) (dual of [273, 30, 160]-code), but
- residual code [i] would yield OA(384, 113, S3, 53), but
- the linear programming bound shows that M ≥ 220 344254 536683 114597 471552 228690 132437 887421 343564 925242 / 18336 783241 265797 > 384 [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(3244, 273, F3, 3, 160) (dual of [(273, 3), 575, 161]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3244, 273, F3, 4, 160) (dual of [(273, 4), 848, 161]-NRT-code) | [i] | ||
| 3 | No linear OOA(3244, 273, F3, 5, 160) (dual of [(273, 5), 1121, 161]-NRT-code) | [i] | ||