Information on Result #59850

There is no OA(464, 82, S4, 47), because the linear programming bound shows that M ≥ 42 906360 577844 236924 181238 144026 607595 077872 123904 / 112185 734375 > 464

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(464, 82, S4, 2, 47) [i]Depth Reduction
2No OOA(464, 82, S4, 3, 47) [i]
3No (17, 64, 82)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4252, 271, F4, 188) (dual of [271, 19, 189]-code) [i]Residual Code