Information on Result #59274
There is no OA(3117, 137, S3, 75), because the linear programming bound shows that M ≥ 2 512290 520419 287793 177886 934344 555139 842858 289208 378001 236620 873421 / 34498 790200 > 3117
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 OA(3118, 138, S3, 76) | [i] | Truncation | |
| 2 | No OOA(3118, 137, S3, 2, 76) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3117, 137, S3, 2, 75) | [i] | Depth Reduction | |
| 4 | No OOA(3117, 137, S3, 3, 75) | [i] | ||
| 5 | No OOA(3117, 137, S3, 4, 75) | [i] | ||
| 6 | No OOA(3117, 137, S3, 5, 75) | [i] | ||
| 7 | No (42, 117, 137)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |