Information on Result #60687

There is no OA(575, 129, S5, 57), because the linear programming bound shows that M ≥ 15834 198365 926459 174495 070912 926342 657353 410478 689511 253355 057565 629427 594446 047272 749174 340367 965858 719674 965607 825123 381502 407937 659882 009029 388427 734375 / 572218 660816 232995 700333 092801 376621 539128 291687 038229 804061 092293 114083 215457 939111 033787 669855 680572 > 575

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(575, 129, S5, 2, 57) [i]Depth Reduction
2No OOA(575, 129, S5, 3, 57) [i]
3No (18, 75, 129)-net in base 5 [i]Extracting Embedded Orthogonal Array