Information on Result #59394
There is no OA(47, 60, S4, 4), because the linear programming bound shows that M ≥ 14 400512 / 857 > 47
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(48, 61, S4, 5) | [i] | Truncation | |
| 2 | No OOA(48, 60, S4, 2, 5) | [i] | m-Reduction for OOAs | |
| 3 | No (3, 7, 60)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(453, 60, F4, 40) (dual of [60, 7, 41]-code) | [i] | Construction Y1 (Bound) | |