Information on Result #60735
There is no OA(585, 126, S5, 65), because the linear programming bound shows that M ≥ 144 471513 340065 449263 037885 952010 651258 545437 840641 472341 144204 739882 273003 104273 811914 026737 213134 765625 / 470 101103 972684 112746 856024 521475 589350 417573 > 585
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(585, 126, S5, 2, 65) | [i] | Depth Reduction | |
| 2 | No OOA(585, 126, S5, 3, 65) | [i] | ||
| 3 | No (20, 85, 126)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |