Information on Result #59041
There is no OA(382, 122, S3, 51), because the linear programming bound shows that M ≥ 2 857259 335023 875460 783166 319642 601001 954259 886029 570784 083010 116237 359893 / 2097 368232 043591 449722 787486 700000 > 382
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(382, 122, S3, 2, 51) | [i] | Depth Reduction | |
| 2 | No OOA(382, 122, S3, 3, 51) | [i] | ||
| 3 | No OOA(382, 122, S3, 4, 51) | [i] | ||
| 4 | No OOA(382, 122, S3, 5, 51) | [i] | ||
| 5 | No (31, 82, 122)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3235, 276, F3, 153) (dual of [276, 41, 154]-code) | [i] | Residual Code | |