Information on Result #557838
There is no linear OOA(3216, 237, F3, 2, 143) (dual of [(237, 2), 258, 144]-NRT-code), because 2 step m-reduction would yield linear OA(3214, 237, F3, 141) (dual of [237, 23, 142]-code), but
- residual code [i] would yield OA(373, 95, S3, 47), but
- the linear programming bound shows that M ≥ 27415 488609 479960 623517 399135 351947 419683 757237 / 296601 469736 > 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(3216, 237, F3, 3, 143) (dual of [(237, 3), 495, 144]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3216, 237, F3, 4, 143) (dual of [(237, 4), 732, 144]-NRT-code) | [i] | ||
| 3 | No linear OOA(3216, 237, F3, 5, 143) (dual of [(237, 5), 969, 144]-NRT-code) | [i] | ||