Information on Result #59034
There is no OA(382, 139, S3, 50), because the linear programming bound shows that M ≥ 1587 399042 866016 986303 890803 537138 245492 206166 258555 218457 073292 762725 146456 195326 962155 694534 950498 243860 513481 979544 181045 609868 510228 655317 898137 944968 273836 801278 213469 / 1 121662 775947 035202 501592 579753 339451 946215 941077 958998 362092 006927 786507 022495 318993 197038 312138 033878 088343 981406 194796 277022 130176 > 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, 139, S3, 2, 50) | [i] | Depth Reduction | |
| 2 | No OOA(382, 139, S3, 3, 50) | [i] | ||
| 3 | No OOA(382, 139, S3, 4, 50) | [i] | ||
| 4 | No OOA(382, 139, S3, 5, 50) | [i] | ||
| 5 | No (32, 82, 139)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3232, 290, F3, 150) (dual of [290, 58, 151]-code) | [i] | Residual Code | |