Information on Result #58921
There is no OA(366, 112, S3, 41), because the linear programming bound shows that M ≥ 2 205450 991152 037887 110312 460000 695173 586277 462145 772188 035973 400341 003679 931330 959040 941975 977662 936305 383695 760833 / 59412 964566 920537 132921 376858 809704 483274 406706 974380 628937 872880 712941 577778 621185 > 366
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(366, 112, S3, 2, 41) | [i] | Depth Reduction | |
| 2 | No OOA(366, 112, S3, 3, 41) | [i] | ||
| 3 | No OOA(366, 112, S3, 4, 41) | [i] | ||
| 4 | No OOA(366, 112, S3, 5, 41) | [i] | ||
| 5 | No (25, 66, 112)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3189, 236, F3, 123) (dual of [236, 47, 124]-code) | [i] | Residual Code | |