Information on Result #59096
There is no OA(392, 150, S3, 56), because the linear programming bound shows that M ≥ 380 530607 134695 199590 326105 296054 561976 304500 746203 230842 591578 312022 091639 435706 399387 387663 092379 / 4 623519 949937 639772 321756 933595 131069 999192 578955 859375 > 392
Mode: Bound.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(392, 150, S3, 2, 56) | [i] | Depth Reduction | |
| 2 | No OOA(392, 150, S3, 3, 56) | [i] | ||
| 3 | No OOA(392, 150, S3, 4, 56) | [i] | ||
| 4 | No OOA(392, 150, S3, 5, 56) | [i] | ||
| 5 | No (36, 92, 150)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3107, 199, F3, 66) (dual of [199, 92, 67]-code) | [i] | Construction Y1 (Bound) | |
| 7 | No linear OA(3112, 204, F3, 69) (dual of [204, 92, 70]-code) | [i] | ||