Information on Result #59734
There is no OA(460, 180, S4, 39), because the linear programming bound shows that M ≥ 64 592000 643692 089079 054839 691926 765927 402602 779909 340826 367902 235627 537241 992340 655885 516800 / 46 756581 550576 177840 289976 743881 661381 961798 582533 083517 > 460
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(460, 180, S4, 2, 39) | [i] | Depth Reduction | |
| 2 | No OOA(460, 180, S4, 3, 39) | [i] | ||
| 3 | No (21, 60, 180)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4216, 337, F4, 156) (dual of [337, 121, 157]-code) | [i] | Residual Code | |