Information on Result #59267

There is no OA(3117, 144, S3, 74), because the linear programming bound shows that M ≥ 4381 059426 646764 259966 116228 241176 370504 380611 796046 800862 061400 533793 / 53 538418 767925 > 3117

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(3117, 144, S3, 2, 74) [i]Depth Reduction
2No OOA(3117, 144, S3, 3, 74) [i]
3No OOA(3117, 144, S3, 4, 74) [i]
4No OOA(3117, 144, S3, 5, 74) [i]
5No (43, 117, 144)-net in base 3 [i]Extracting Embedded Orthogonal Array