Information on Result #60680

There is no OA(572, 97, S5, 56), because the linear programming bound shows that M ≥ 7 089744 942695 552122 204900 763230 601967 723742 973248 590715 229511 260986 328125 / 27015 220325 499280 550676 > 572

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(572, 97, S5, 2, 56) [i]Depth Reduction
2No OOA(572, 97, S5, 3, 56) [i]
3No (16, 72, 97)-net in base 5 [i]Extracting Embedded Orthogonal Array