Information on Result #59078

There is no OA(383, 95, S3, 55), because the linear programming bound shows that M ≥ 648 778625 227853 290324 593879 307770 065609 747709 / 118144 > 383

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(385, 95, S3, 2, 57) [i]m-Reduction for OOAs
2No OOA(383, 95, S3, 2, 55) [i]Depth Reduction
3No OOA(383, 95, S3, 3, 55) [i]
4No OOA(383, 95, S3, 4, 55) [i]
5No OOA(383, 95, S3, 5, 55) [i]
6No (28, 83, 95)-net in base 3 [i]Extracting Embedded Orthogonal Array
7No linear OA(3248, 261, F3, 165) (dual of [261, 13, 166]-code) [i]Residual Code