Information on Result #60412
There is no OA(543, 116, S5, 32), because the linear programming bound shows that M ≥ 78630 206727 363884 575518 018662 709610 896149 980674 684047 698974 609375 000000 000000 / 63839 957809 729412 531818 722179 714129 611818 357811 > 543
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(543, 116, S5, 2, 32) | [i] | Depth Reduction | |
| 2 | No OOA(543, 116, S5, 3, 32) | [i] | ||
| 3 | No (11, 43, 116)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |