Information on Result #59809
There is no OA(467, 185, S4, 44), because the linear programming bound shows that M ≥ 27 922736 614479 963563 498030 039555 280180 497392 114764 937434 686895 163379 799248 329552 391127 539087 989670 936576 / 1212 198916 755108 948361 633672 026124 789528 916769 954260 490443 945723 > 467
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(467, 185, S4, 2, 44) | [i] | Depth Reduction | |
| 2 | No OOA(467, 185, S4, 3, 44) | [i] | ||
| 3 | No (23, 67, 185)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4243, 362, F4, 176) (dual of [362, 119, 177]-code) | [i] | Residual Code | |
| 5 | No linear OA(4122, 189, F4, 87) (dual of [189, 67, 88]-code) | [i] | Construction Y1 (Bound) | |