Information on Result #61156
There is no OA(744, 56, S7, 38), because the linear programming bound shows that M ≥ 6357 573925 758601 938302 691003 913710 449603 165215 / 397 957131 > 744
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(744, 56, S7, 2, 38) | [i] | Depth Reduction | |
| 2 | No OOA(744, 56, S7, 3, 38) | [i] | ||
| 3 | No (6, 44, 56)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |