Information on Result #57754

There is no OA(28, 21, S2, 4), because the linear programming bound shows that M ≥ 8960 / 33 > 28

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(29, 22, S2, 5) [i]Truncation
2No (4, 8, 21)-net in base 2 [i]Extracting Embedded Orthogonal Array
3No linear OA(216, 30, F2, 8) (dual of [30, 14, 9]-code) [i]Residual Code