Information on Result #59268
There is no OA(3118, 149, S3, 74), because the linear programming bound shows that M ≥ 14631 013686 142997 953866 980562 476233 047154 143146 692997 967075 486096 911649 489501 / 62 737137 135696 970925 > 3118
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(3118, 149, S3, 2, 74) | [i] | Depth Reduction | |
| 2 | No OOA(3118, 149, S3, 3, 74) | [i] | ||
| 3 | No OOA(3118, 149, S3, 4, 74) | [i] | ||
| 4 | No OOA(3118, 149, S3, 5, 74) | [i] | ||
| 5 | No (44, 118, 149)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3100, 218, F3, 61) (dual of [218, 118, 62]-code) | [i] | Construction Y1 (Bound) | |
| 7 | No linear OA(3119, 187, F3, 74) (dual of [187, 68, 75]-code) | [i] | ||