Information on Result #59655

There is no OA(446, 66, S4, 34), because the linear programming bound shows that M ≥ 571436 608173 282162 524289 857732 214784 / 105 347305 > 446

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(446, 66, S4, 2, 34) [i]Depth Reduction
2No OOA(446, 66, S4, 3, 34) [i]
3No (12, 46, 66)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4182, 203, F4, 136) (dual of [203, 21, 137]-code) [i]Residual Code