Information on Result #61547

There is no OA(831, 38, S8, 28), because the linear programming bound shows that M ≥ 12 438821 514739 501002 186400 202752 / 1221 > 831

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 OA(832, 39, S8, 29) [i]Truncation
2No OOA(832, 38, S8, 2, 29) [i]m-Reduction for OOAs
3No OOA(831, 38, S8, 2, 28) [i]Depth Reduction
4No OOA(831, 38, S8, 3, 28) [i]
5No (3, 31, 38)-net in base 8 [i]Extracting Embedded Orthogonal Array