Information on Result #59656

There is no OA(447, 83, S4, 34), because the linear programming bound shows that M ≥ 52 720571 155598 864034 786269 073952 563615 274024 793807 425195 470485 757374 758912 / 2526 264626 215124 582307 285701 642932 544212 018125 > 447

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(447, 83, S4, 2, 34) [i]Depth Reduction
2No OOA(447, 83, S4, 3, 34) [i]
3No (13, 47, 83)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4183, 220, F4, 136) (dual of [220, 37, 137]-code) [i]Residual Code