Information on Result #60692

There is no OA(576, 123, S5, 58), because the linear programming bound shows that M ≥ 921752 401491 279821 109292 829218 117855 556887 335030 304497 367586 826570 406488 835769 345151 563425 311280 752794 118598 103523 254394 531250 / 6 537188 154799 419763 984572 244509 160994 268577 646991 044355 238439 655214 230447 > 576

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(576, 123, S5, 2, 58) [i]Depth Reduction
2No OOA(576, 123, S5, 3, 58) [i]
3No (18, 76, 123)-net in base 5 [i]Extracting Embedded Orthogonal Array