Information on Result #57894
There is no OA(243, 76, S2, 20), because the linear programming bound shows that M ≥ 665794 267232 060016 383085 248512 / 74619 439776 078197 > 243
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(244, 77, S2, 21) | [i] | Truncation | |
| 2 | No OOA(244, 76, S2, 2, 21) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(243, 76, S2, 2, 20) | [i] | Depth Reduction | |
| 4 | No (23, 43, 76)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |