Information on Result #556412
There is no linear OOA(3139, 223, F3, 2, 89) (dual of [(223, 2), 307, 90]-NRT-code), because 2 step m-reduction would yield linear OA(3137, 223, F3, 87) (dual of [223, 86, 88]-code), but
- residual code [i] would yield OA(350, 135, S3, 29), but
- 1 times truncation [i] would yield OA(349, 134, S3, 28), but
- the linear programming bound shows that M ≥ 430073 037911 139946 191996 083081 250824 628251 158946 484375 / 1 673823 880993 304164 747289 137687 > 349 [i]
- 1 times truncation [i] would yield OA(349, 134, S3, 28), 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(3139, 223, F3, 3, 89) (dual of [(223, 3), 530, 90]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3139, 223, F3, 4, 89) (dual of [(223, 4), 753, 90]-NRT-code) | [i] | ||
| 3 | No linear OOA(3139, 223, F3, 5, 89) (dual of [(223, 5), 976, 90]-NRT-code) | [i] | ||