Information on Result #547042
There is no linear OA(3235, 251, F3, 156) (dual of [251, 16, 157]-code), because residual code would yield OA(379, 94, S3, 52), but
- 1 times truncation [i] would yield OA(378, 93, S3, 51), but
- the linear programming bound shows that M ≥ 2117 985825 855951 548682 979121 686352 501183 391624 / 117 447583 > 378 [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 OA(3236, 252, F3, 157) (dual of [252, 16, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(3237, 253, F3, 158) (dual of [253, 16, 159]-code) | [i] | ||
| 3 | No linear OOA(3236, 251, F3, 2, 157) (dual of [(251, 2), 266, 158]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3237, 251, F3, 2, 158) (dual of [(251, 2), 265, 159]-NRT-code) | [i] | ||
| 5 | No linear OOA(3235, 251, F3, 2, 156) (dual of [(251, 2), 267, 157]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3235, 251, F3, 3, 156) (dual of [(251, 3), 518, 157]-NRT-code) | [i] | ||
| 7 | No linear OOA(3235, 251, F3, 4, 156) (dual of [(251, 4), 769, 157]-NRT-code) | [i] | ||
| 8 | No linear OOA(3235, 251, F3, 5, 156) (dual of [(251, 5), 1020, 157]-NRT-code) | [i] | ||
| 9 | No digital (79, 235, 251)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |