Information on Result #61001

There is no OA(722, 58, S7, 19), because the linear programming bound shows that M ≥ 156767 186550 922850 274524 913852 / 36725 317955 > 722

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(722, 58, S7, 2, 19) [i]Depth Reduction
2No OOA(722, 58, S7, 3, 19) [i]
3No (3, 22, 58)-net in base 7 [i]Extracting Embedded Orthogonal Array