Information on Result #59772
There is no OA(459, 103, S4, 42), because the linear programming bound shows that M ≥ 20 209278 630007 954817 311657 592716 406577 471235 077989 401051 636395 089582 131646 221319 183990 947510 747136 / 59 997456 042944 145499 206694 218235 767252 553003 337898 939171 700875 > 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, 103, S4, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(459, 103, S4, 3, 42) | [i] | ||
| 3 | No (17, 59, 103)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4227, 272, F4, 168) (dual of [272, 45, 169]-code) | [i] | Residual Code | |