Information on Result #59587

There is no OA(442, 106, S4, 29), because the linear programming bound shows that M ≥ 11 515430 185021 615009 307015 123093 343331 130678 608727 482845 042118 230016 / 573326 282922 594402 886717 422034 435890 047071 > 442

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 OOA(442, 106, S4, 2, 29) [i]Depth Reduction
2No OOA(442, 106, S4, 3, 29) [i]
3No (13, 42, 106)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4158, 223, F4, 116) (dual of [223, 65, 117]-code) [i]Residual Code