Information on Result #60717
There is no OA(581, 122, S5, 62), because the linear programming bound shows that M ≥ 17133 810176 112946 923079 960994 186207 668494 350258 022665 566660 526340 926617 994142 588941 031135 618686 676025 390625 / 38 859193 036377 505043 562669 624921 157068 985448 566497 > 581
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(581, 122, S5, 2, 62) | [i] | Depth Reduction | |
| 2 | No OOA(581, 122, S5, 3, 62) | [i] | ||
| 3 | No (19, 81, 122)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |