Information on Result #59703
There is no OA(455, 144, S4, 37), because the linear programming bound shows that M ≥ 8531 459492 474233 301926 174796 532559 659169 361619 057384 079100 594036 798926 268886 155264 000000 / 6 295882 403116 171983 140577 568447 723788 871703 289647 780291 > 455
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(455, 144, S4, 2, 37) | [i] | Depth Reduction | |
| 2 | No OOA(455, 144, S4, 3, 37) | [i] | ||
| 3 | No (18, 55, 144)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4203, 293, F4, 148) (dual of [293, 90, 149]-code) | [i] | Residual Code | |