Information on Result #59769
There is no OA(456, 68, S4, 42), because the linear programming bound shows that M ≥ 17 363928 619241 647913 609079 468028 268294 176768 / 2650 869375 > 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, 68, S4, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(456, 68, S4, 3, 42) | [i] | ||
| 3 | No (14, 56, 68)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4224, 237, F4, 168) (dual of [237, 13, 169]-code) | [i] | Residual Code | |