Information on Result #60144

There is no OA(4122, 143, S4, 88), because the linear programming bound shows that M ≥ 1525 249899 879466 669879 663214 274615 500880 337377 193463 751408 894070 529693 054025 614611 185664 / 47 294304 712863 > 4122

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(4122, 143, S4, 2, 88) [i]Depth Reduction
2No OOA(4122, 143, S4, 3, 88) [i]
3No (34, 122, 143)-net in base 4 [i]Extracting Embedded Orthogonal Array