Information on Result #60657
There is no OA(567, 81, S5, 53), because the linear programming bound shows that M ≥ 3786 237274 226722 515635 401578 037999 570369 720458 984375 / 50209 > 567
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(567, 81, S5, 2, 53) | [i] | Depth Reduction | |
| 2 | No OOA(567, 81, S5, 3, 53) | [i] | ||
| 3 | No (14, 67, 81)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |