Information on Result #61165
There is no OA(745, 55, S7, 39), because the linear programming bound shows that M ≥ 7 115210 095838 304031 964199 481495 668125 171851 / 55120 > 745
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(746, 56, S7, 40) | [i] | Truncation | |
| 2 | No OOA(746, 55, S7, 2, 40) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(745, 55, S7, 2, 39) | [i] | Depth Reduction | |
| 4 | No OOA(745, 55, S7, 3, 39) | [i] | ||
| 5 | No (6, 45, 55)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |