Information on Result #557726
There is no linear OOA(3212, 223, F3, 2, 142) (dual of [(223, 2), 234, 143]-NRT-code), because 1 step m-reduction would yield linear OA(3211, 223, F3, 141) (dual of [223, 12, 142]-code), but
- residual code [i] would yield OA(370, 81, S3, 47), but
- 1 times truncation [i] would yield OA(369, 80, S3, 46), but
- the linear programming bound shows that M ≥ 904 357542 932493 278414 499056 136998 127663 / 977647 > 369 [i]
- 1 times truncation [i] would yield OA(369, 80, S3, 46), but
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(3212, 223, F3, 3, 142) (dual of [(223, 3), 457, 143]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3212, 223, F3, 4, 142) (dual of [(223, 4), 680, 143]-NRT-code) | [i] | ||
| 3 | No linear OOA(3212, 223, F3, 5, 142) (dual of [(223, 5), 903, 143]-NRT-code) | [i] | ||