Information on Result #59900

There is no OA(472, 88, S4, 53), because the linear programming bound shows that M ≥ 318702 354544 563344 858086 533046 276256 681270 929984 061440 / 10083 360573 > 472

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(472, 88, S4, 2, 53) [i]Depth Reduction
2No OOA(472, 88, S4, 3, 53) [i]
3No (19, 72, 88)-net in base 4 [i]Extracting Embedded Orthogonal Array