Information on Result #59683

There is no OA(448, 60, S4, 36), because the linear programming bound shows that M ≥ 124209 476412 762829 676252 966875 561984 / 1 392469 > 448

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:

ResultThis
result
only
Method
1No OA(449, 61, S4, 37) [i]Truncation
2No OOA(449, 60, S4, 2, 37) [i]m-Reduction for OOAs
3No OOA(448, 60, S4, 2, 36) [i]Depth Reduction
4No OOA(448, 60, S4, 3, 36) [i]
5No (12, 48, 60)-net in base 4 [i]Extracting Embedded Orthogonal Array
6No linear OA(4192, 205, F4, 144) (dual of [205, 13, 145]-code) [i]Residual Code