Information on Result #557569
There is no linear OOA(3206, 223, F3, 2, 137) (dual of [(223, 2), 240, 138]-NRT-code), because 2 step m-reduction would yield linear OA(3204, 223, F3, 135) (dual of [223, 19, 136]-code), but
- residual code [i] would yield OA(369, 87, S3, 45), but
- the linear programming bound shows that M ≥ 60 677445 989371 388018 255266 871453 026648 079313 / 55230 725056 > 369 [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(3206, 223, F3, 3, 137) (dual of [(223, 3), 463, 138]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3206, 223, F3, 4, 137) (dual of [(223, 4), 686, 138]-NRT-code) | [i] | ||
| 3 | No linear OOA(3206, 223, F3, 5, 137) (dual of [(223, 5), 909, 138]-NRT-code) | [i] | ||