Information on Result #59819

There is no OA(463, 103, S4, 45), because the linear programming bound shows that M ≥ 30 963907 201042 572946 047598 093595 047914 220745 773823 416057 277667 026891 964416 / 314660 526989 952486 919791 531363 400925 > 463

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(463, 103, S4, 2, 45) [i]Depth Reduction
2No OOA(463, 103, S4, 3, 45) [i]
3No (18, 63, 103)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4243, 284, F4, 180) (dual of [284, 41, 181]-code) [i]Residual Code