Information on Result #59182
There is no OA(3105, 145, S3, 65), because the linear programming bound shows that M ≥ 2672 696874 555113 070277 370361 668201 700430 711731 822164 429384 303409 602728 450455 / 21 255599 528627 666044 419356 > 3105
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(3105, 145, S3, 2, 65) | [i] | Depth Reduction | |
| 2 | No OOA(3105, 145, S3, 3, 65) | [i] | ||
| 3 | No OOA(3105, 145, S3, 4, 65) | [i] | ||
| 4 | No OOA(3105, 145, S3, 5, 65) | [i] | ||
| 5 | No (40, 105, 145)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3106, 207, F3, 65) (dual of [207, 101, 66]-code) | [i] | Construction Y1 (Bound) | |