Information on Result #59714

There is no OA(453, 93, S4, 38), because the linear programming bound shows that M ≥ 75 732845 984145 428780 199922 279583 407868 241018 898271 306741 529817 383686 091619 434496 / 921595 659344 088994 644725 748885 291293 959320 238665 > 453

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(453, 93, S4, 2, 38) [i]Depth Reduction
2No OOA(453, 93, S4, 3, 38) [i]
3No (15, 53, 93)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4205, 246, F4, 152) (dual of [246, 41, 153]-code) [i]Residual Code