Information on Result #60824

There is no OA(5104, 122, S5, 81), because the linear programming bound shows that M ≥ 26 765091 755407 735481 416525 305329 470914 633888 979639 042560 165762 552060 186862 945556 640625 / 4 517751 405839 > 5104

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(5104, 122, S5, 2, 81) [i]Depth Reduction
2No OOA(5104, 122, S5, 3, 81) [i]
3No (23, 104, 122)-net in base 5 [i]Extracting Embedded Orthogonal Array