Information on Result #59852

There is no OA(466, 107, S4, 47), because the linear programming bound shows that M ≥ 877667 617526 699604 115459 206661 960900 469804 406919 637481 696619 379668 118193 820628 156416 / 152 206215 688292 487856 759376 046017 491747 653675 > 466

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(466, 107, S4, 2, 47) [i]Depth Reduction
2No OOA(466, 107, S4, 3, 47) [i]
3No (19, 66, 107)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4254, 296, F4, 188) (dual of [296, 42, 189]-code) [i]Residual Code