Information on Result #59786
There is no OA(458, 73, S4, 43), because the linear programming bound shows that M ≥ 2189 401164 029144 651258 105721 344079 901877 075968 / 23088 690625 > 458
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(458, 73, S4, 2, 43) | [i] | Depth Reduction | |
| 2 | No OOA(458, 73, S4, 3, 43) | [i] | ||
| 3 | No (15, 58, 73)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4230, 246, F4, 172) (dual of [246, 16, 173]-code) | [i] | Residual Code | |