Information on Result #60538

There is no OA(553, 69, S5, 42), because the linear programming bound shows that M ≥ 32 481587 176891 313362 148139 276541 769504 547119 140625 / 2 799758 136448 > 553

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(553, 69, S5, 2, 42) [i]Depth Reduction
2No OOA(553, 69, S5, 3, 42) [i]
3No (11, 53, 69)-net in base 5 [i]Extracting Embedded Orthogonal Array