Information on Result #60400

There is no OA(540, 85, S5, 31), because the linear programming bound shows that M ≥ 2 520524 123620 197349 216655 886015 484861 010844 279434 679796 133272 298525 889709 708280 861377 716064 453125 / 256 065038 974465 784115 485081 335611 097929 606354 313983 586173 017908 621007 > 540

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(540, 85, S5, 2, 31) [i]Depth Reduction
2No OOA(540, 85, S5, 3, 31) [i]
3No (9, 40, 85)-net in base 5 [i]Extracting Embedded Orthogonal Array