Information on Result #59240
There is no OA(3113, 143, S3, 71), because the linear programming bound shows that M ≥ 31 672520 199297 585243 899154 531146 784746 691310 342121 601962 325858 908470 456893 / 37 514198 689317 280000 > 3113
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(3113, 143, S3, 2, 71) | [i] | Depth Reduction | |
| 2 | No OOA(3113, 143, S3, 3, 71) | [i] | ||
| 3 | No OOA(3113, 143, S3, 4, 71) | [i] | ||
| 4 | No OOA(3113, 143, S3, 5, 71) | [i] | ||
| 5 | No (42, 113, 143)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3114, 181, F3, 71) (dual of [181, 67, 72]-code) | [i] | Construction Y1 (Bound) | |