Information on Result #61138
There is no OA(742, 72, S7, 36), because the linear programming bound shows that M ≥ 1317 858742 541027 651897 283715 012422 855235 377901 886670 269689 / 4192 095566 060516 873025 > 742
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(742, 72, S7, 2, 36) | [i] | Depth Reduction | |
| 2 | No OOA(742, 72, S7, 3, 36) | [i] | ||
| 3 | No (6, 42, 72)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |