Information on Result #59304

There is no OA(3124, 148, S3, 79), because the linear programming bound shows that M ≥ 690 317151 825090 850532 117017 983702 408086 595101 399831 232650 540048 412372 581649 / 3142 509791 861440 > 3124

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(3124, 148, S3, 2, 79) [i]Depth Reduction
2No OOA(3124, 148, S3, 3, 79) [i]
3No OOA(3124, 148, S3, 4, 79) [i]
4No OOA(3124, 148, S3, 5, 79) [i]
5No linear OA(3125, 176, F3, 79) (dual of [176, 51, 80]-code) [i]Construction Y1 (Bound)