Information on Result #60572

There is no OA(563, 211, S5, 44), because the linear programming bound shows that M ≥ 4446 862795 850690 966038 322132 712019 919948 621848 250680 116196 899407 887813 063280 191272 497177 124023 437500 000000 000000 / 38 397842 234363 146291 893987 936649 899578 678359 030414 109900 820924 746923 > 563

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(563, 211, S5, 2, 44) [i]Depth Reduction
2No OOA(563, 211, S5, 3, 44) [i]
3No (19, 63, 211)-net in base 5 [i]Extracting Embedded Orthogonal Array