Information on Result #59064
There is no OA(387, 144, S3, 53), because the linear programming bound shows that M ≥ 17223 084020 715556 855848 832250 872039 681441 493489 720994 373819 071391 134556 757302 805695 961783 787857 312694 961703 747535 992711 367021 / 52541 482507 385915 572483 476316 381490 546694 054744 799929 170031 348199 163698 205504 000000 > 387
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(387, 144, S3, 2, 53) | [i] | Depth Reduction | |
| 2 | No OOA(387, 144, S3, 3, 53) | [i] | ||
| 3 | No OOA(387, 144, S3, 4, 53) | [i] | ||
| 4 | No OOA(387, 144, S3, 5, 53) | [i] | ||
| 5 | No (34, 87, 144)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3246, 304, F3, 159) (dual of [304, 58, 160]-code) | [i] | Residual Code | |