Information on Result #61579

There is no OA(837, 89, S8, 32), because the linear programming bound shows that M ≥ 42 628902 653755 722532 705789 417561 961232 422700 620787 643894 825054 371840 / 15458 508164 091799 529005 040361 729673 > 837

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(837, 89, S8, 2, 32) [i]Depth Reduction
2No OOA(837, 89, S8, 3, 32) [i]
3No (5, 37, 89)-net in base 8 [i]Extracting Embedded Orthogonal Array