Information on Result #59763
There is no OA(463, 185, S4, 41), because the linear programming bound shows that M ≥ 61 899957 150953 106035 135074 637879 046641 791483 715273 894502 688876 097802 046438 481549 501189 324800 / 720746 857989 042001 933213 860469 455977 050620 069897 655507 > 463
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(463, 185, S4, 2, 41) | [i] | Depth Reduction | |
| 2 | No OOA(463, 185, S4, 3, 41) | [i] | ||
| 3 | No (22, 63, 185)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4227, 350, F4, 164) (dual of [350, 123, 165]-code) | [i] | Residual Code | |
| 5 | No linear OA(4126, 189, F4, 90) (dual of [189, 63, 91]-code) | [i] | Construction Y1 (Bound) | |