Information on Result #59038

There is no OA(379, 98, S3, 51), because the linear programming bound shows that M ≥ 37359 886424 244488 451760 980773 909770 698911 495751 / 677 763515 > 379

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(379, 98, S3, 2, 51) [i]Depth Reduction
2No OOA(379, 98, S3, 3, 51) [i]
3No OOA(379, 98, S3, 4, 51) [i]
4No OOA(379, 98, S3, 5, 51) [i]
5No (28, 79, 98)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3232, 252, F3, 153) (dual of [252, 20, 154]-code) [i]Residual Code