Information on Result #59713

There is no OA(452, 77, S4, 38), because the linear programming bound shows that M ≥ 178964 168015 271617 653478 330356 832179 607270 588416 / 8492 957066 104875 > 452

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(452, 77, S4, 2, 38) [i]Depth Reduction
2No OOA(452, 77, S4, 3, 38) [i]
3No (14, 52, 77)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4204, 230, F4, 152) (dual of [230, 26, 153]-code) [i]Residual Code