Information on Result #60637
There is no OA(565, 107, S5, 50), because the linear programming bound shows that M ≥ 3 460864 699839 516032 970167 850868 074536 364440 760410 066537 478370 775338 110121 310819 522477 686405 181884 765625 / 1198 473810 511228 830549 728619 203929 079038 354841 407181 660217 > 565
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(565, 107, S5, 2, 50) | [i] | Depth Reduction | |
| 2 | No OOA(565, 107, S5, 3, 50) | [i] | ||
| 3 | No (15, 65, 107)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |