Information on Result #61127

There is no OA(740, 47, S7, 35), because the linear programming bound shows that M ≥ 721 282691 041861 962448 675704 052408 625288 / 101475 > 740

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(740, 47, S7, 2, 35) [i]Depth Reduction
2No OOA(740, 47, S7, 3, 35) [i]
3No (5, 40, 47)-net in base 7 [i]Extracting Embedded Orthogonal Array
4No linear OA(79, 49, F7, 7) (dual of [49, 40, 8]-code) [i]Construction Y1 (Bound)