Information on Result #61184

There is no OA(747, 54, S7, 41), because the linear programming bound shows that M ≥ 1339 672939 931235 578604 902702 669228 596891 236500 / 238901 > 747

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(747, 54, S7, 2, 41) [i]Depth Reduction
2No OOA(747, 54, S7, 3, 41) [i]
3No (6, 47, 54)-net in base 7 [i]Extracting Embedded Orthogonal Array