Information on Result #59826
There is no OA(470, 213, S4, 45), because the linear programming bound shows that M ≥ 10138 160863 655691 762503 861603 731431 648994 530508 429756 680407 696662 337185 130982 211720 965164 892160 / 6819 841021 187779 545947 587667 623913 181856 482312 426343 > 470
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(470, 213, S4, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(470, 213, S4, 3, 45) | [i] | ||
| 3 | No (25, 70, 213)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4250, 394, F4, 180) (dual of [394, 144, 181]-code) | [i] | Residual Code | |