Information on Result #60388
There is no OA(539, 89, S5, 30), because the linear programming bound shows that M ≥ 10 998634 290952 091743 995634 814347 972284 312017 959290 863621 195385 348983 108997 344970 703125 / 5975 658837 839706 727949 697506 172731 600224 929862 381411 729681 > 539
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(539, 89, S5, 2, 30) | [i] | Depth Reduction | |
| 2 | No OOA(539, 89, S5, 3, 30) | [i] | ||
| 3 | No (9, 39, 89)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |