Information on Result #59785
There is no OA(457, 67, S4, 43), because the linear programming bound shows that M ≥ 978 311804 897698 082457 201996 366333 607936 / 33915 > 457
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(459, 67, S4, 2, 45) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(457, 67, S4, 2, 43) | [i] | Depth Reduction | |
| 3 | No OOA(457, 67, S4, 3, 43) | [i] | ||
| 4 | No (14, 57, 67)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 5 | No linear OA(4229, 240, F4, 172) (dual of [240, 11, 173]-code) | [i] | Residual Code | |