Information on Result #57760

There is no OA(210, 16, S2, 6), because the linear programming bound shows that M ≥ 27136 / 21 > 210

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(211, 17, S2, 7) [i]Truncation
2No linear OA(222, 29, F2, 12) (dual of [29, 7, 13]-code) [i]Residual Code
3No linear OA(28, 18, F2, 4) (dual of [18, 10, 5]-code) [i]Construction Y1 (Bound)