Information on Result #58994

There is no OA(375, 128, S3, 46), because the linear programming bound shows that M ≥ 70509 034008 273048 497949 012415 256823 095516 948639 518464 642288 291654 944885 730085 391182 130810 751743 773920 008127 422894 926894 729600 054599 / 107409 815338 072251 071920 212049 180487 610108 565772 602900 313365 362537 798880 614700 874814 997458 059264 > 375

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(375, 128, S3, 2, 46) [i]Depth Reduction
2No OOA(375, 128, S3, 3, 46) [i]
3No OOA(375, 128, S3, 4, 46) [i]
4No OOA(375, 128, S3, 5, 46) [i]
5No (29, 75, 128)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3213, 267, F3, 138) (dual of [267, 54, 139]-code) [i]Residual Code