Information on Result #59787
There is no OA(459, 82, S4, 43), because the linear programming bound shows that M ≥ 113 303848 813251 769790 373484 570498 790503 594690 871296 / 335 930280 888125 > 459
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, 82, S4, 2, 43) | [i] | Depth Reduction | |
| 2 | No OOA(459, 82, S4, 3, 43) | [i] | ||
| 3 | No (16, 59, 82)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4231, 255, F4, 172) (dual of [255, 24, 173]-code) | [i] | Residual Code | |