Information on Result #59659
There is no OA(450, 128, S4, 34), because the linear programming bound shows that M ≥ 259 179668 828085 226279 928489 912831 484693 129044 766852 890167 105874 843246 416090 051379 200000 / 195 946350 820096 305299 454040 471197 976323 170907 400036 668719 > 450
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(450, 128, S4, 2, 34) | [i] | Depth Reduction | |
| 2 | No OOA(450, 128, S4, 3, 34) | [i] | ||
| 3 | No (16, 50, 128)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4186, 265, F4, 136) (dual of [265, 79, 137]-code) | [i] | Residual Code | |