Information on Result #59671

There is no OA(449, 95, S4, 35), because the linear programming bound shows that M ≥ 41192 474812 375713 789000 699456 975821 961965 744513 198426 307979 395590 830886 737800 969827 312304 732817 560215 797035 362301 689741 847926 242075 544191 768132 126714 956760 481792 / 121742 667562 520763 956640 695430 713637 859834 747719 323855 290261 057074 960416 613540 339354 221353 298210 726466 255682 521963 771033 504571 810965 > 449

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(449, 95, S4, 2, 35) [i]Depth Reduction
2No OOA(449, 95, S4, 3, 35) [i]
3No (14, 49, 95)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4189, 236, F4, 140) (dual of [236, 47, 141]-code) [i]Residual Code