Information on Result #58559

There is no OA(324, 45, S3, 16), because the linear programming bound shows that M ≥ 13 894580 678228 051000 645548 024686 / 48 529339 305301 214113 > 324

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(324, 45, S3, 2, 16) [i]Depth Reduction
2Linear OA(322, 31, F3, 13) (dual of [31, 9, 14]-code) [i]Construction Y1
3Linear OA(323, 32, F3, 14) (dual of [32, 9, 15]-code) [i]