Information on Result #59212
There is no OA(3109, 143, S3, 68), because the linear programming bound shows that M ≥ 1 396002 643512 427111 634648 557176 258845 666621 442835 591463 756628 549772 300641 / 131 634445 751877 506312 > 3109
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(3109, 143, S3, 2, 68) | [i] | Depth Reduction | |
| 2 | No OOA(3109, 143, S3, 3, 68) | [i] | ||
| 3 | No OOA(3109, 143, S3, 4, 68) | [i] | ||
| 4 | No OOA(3109, 143, S3, 5, 68) | [i] | ||
| 5 | No (41, 109, 143)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3110, 194, F3, 68) (dual of [194, 84, 69]-code) | [i] | Construction Y1 (Bound) | |