Information on Result #60541
There is no OA(556, 128, S5, 42), because the linear programming bound shows that M ≥ 549735 398501 526414 075158 979671 639898 292285 145479 291111 849918 866537 987237 449983 859460 265513 853090 822065 634239 233128 311909 739703 061552 607010 753490 612842 142581 939697 265625 / 377 513813 859449 872268 885907 623007 915455 565045 525435 446662 093459 644502 790412 571230 762657 343613 222871 542428 531126 548885 770756 807129 > 556
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(556, 128, S5, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(556, 128, S5, 3, 42) | [i] | ||
| 3 | No (14, 56, 128)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |