Information on Result #59743
There is no OA(456, 98, S4, 40), because the linear programming bound shows that M ≥ 108 858270 389765 832134 899494 245555 240896 445146 215984 684712 894959 792949 029119 197184 / 19965 002432 218887 804054 871233 298540 608350 321175 > 456
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(456, 98, S4, 2, 40) | [i] | Depth Reduction | |
| 2 | No OOA(456, 98, S4, 3, 40) | [i] | ||
| 3 | No (16, 56, 98)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4216, 259, F4, 160) (dual of [259, 43, 161]-code) | [i] | Residual Code | |