Information on Result #59668
There is no OA(446, 55, S4, 35), because the linear programming bound shows that M ≥ 2203 889796 659291 078839 612066 496512 / 364203 > 446
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 OA(447, 56, S4, 36) | [i] | Truncation | |
| 2 | No OOA(447, 55, S4, 2, 36) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(446, 55, S4, 2, 35) | [i] | Depth Reduction | |
| 4 | No OOA(446, 55, S4, 3, 35) | [i] | ||
| 5 | No (11, 46, 55)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(4186, 196, F4, 140) (dual of [196, 10, 141]-code) | [i] | Residual Code | |