Information on Result #59042
There is no OA(383, 134, S3, 51), because the linear programming bound shows that M ≥ 625760 414962 993510 058854 039475 945995 304619 276439 915262 016003 058873 437945 073915 147163 250093 / 135 349071 693745 981183 738057 225151 833299 159482 850560 > 383
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(383, 134, S3, 2, 51) | [i] | Depth Reduction | |
| 2 | No OOA(383, 134, S3, 3, 51) | [i] | ||
| 3 | No OOA(383, 134, S3, 4, 51) | [i] | ||
| 4 | No OOA(383, 134, S3, 5, 51) | [i] | ||
| 5 | No (32, 83, 134)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3236, 288, F3, 153) (dual of [288, 52, 154]-code) | [i] | Residual Code | |