Information on Result #60710
There is no OA(577, 89, S5, 61), because the linear programming bound shows that M ≥ 16 073029 200579 136053 193829 436480 655203 922651 708126 068115 234375 / 18 485052 > 577
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 OA(578, 90, S5, 62) | [i] | Truncation | |
| 2 | No OOA(578, 89, S5, 2, 62) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(577, 89, S5, 2, 61) | [i] | Depth Reduction | |
| 4 | No OOA(577, 89, S5, 3, 61) | [i] | ||
| 5 | No (16, 77, 89)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |