Information on Result #60653
There is no OA(568, 116, S5, 52), because the linear programming bound shows that M ≥ 11 600142 638871 168869 792982 455632 271705 664267 734631 082588 063519 777161 754196 145898 834866 089731 863991 740823 394138 715229 928493 499755 859375 / 33 956206 214369 087048 603401 189650 732303 281056 656666 162934 916265 145737 078434 374641 908943 > 568
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(568, 116, S5, 2, 52) | [i] | Depth Reduction | |
| 2 | No OOA(568, 116, S5, 3, 52) | [i] | ||
| 3 | No (16, 68, 116)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |