Information on Result #59246
There is no OA(3111, 127, S3, 72), because the linear programming bound shows that M ≥ 1 993002 744270 942199 588408 245235 913938 365234 057812 071961 845221 / 20 511029 > 3111
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(3112, 128, S3, 73) | [i] | Truncation | |
| 2 | No OOA(3112, 127, S3, 2, 73) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3113, 127, S3, 2, 74) | [i] | ||
| 4 | No OOA(3111, 127, S3, 2, 72) | [i] | Depth Reduction | |
| 5 | No OOA(3111, 127, S3, 3, 72) | [i] | ||
| 6 | No OOA(3111, 127, S3, 4, 72) | [i] | ||
| 7 | No OOA(3111, 127, S3, 5, 72) | [i] | ||
| 8 | No (39, 111, 127)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |