Information on Result #61445

There is no OA(85, 35, S8, 4), because the linear programming bound shows that M ≥ 1 306624 / 39 > 85

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(86, 36, S8, 5) [i]Truncation
2No OOA(85, 35, S8, 2, 4) [i]Depth Reduction
3No OOA(85, 35, S8, 3, 4) [i]
4No (1, 5, 35)-net in base 8 [i]Extracting Embedded Orthogonal Array
5No linear OA(837, 68, F8, 32) (dual of [68, 31, 33]-code) [i]Residual Code
6No linear OA(830, 35, F8, 27) (dual of [35, 5, 28]-code) [i]Construction Y1 (Bound)