Information on Result #59801
There is no OA(459, 72, S4, 44), because the linear programming bound shows that M ≥ 3 514436 285559 452450 649732 945555 302087 917568 / 7 940309 > 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, 72, S4, 2, 44) | [i] | Depth Reduction | |
| 2 | No OOA(459, 72, S4, 3, 44) | [i] | ||
| 3 | No (15, 59, 72)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4235, 249, F4, 176) (dual of [249, 14, 177]-code) | [i] | Residual Code | |