Information on Result #60437

There is no OA(544, 90, S5, 34), because the linear programming bound shows that M ≥ 24 192417 062922 885005 933596 322873 037411 669566 714955 542183 606156 756978 202689 694939 281344 924849 008748 424239 456653 594970 703125 / 4 086320 290100 252203 029440 439018 111737 079146 161342 839533 919881 144670 105506 170956 210872 419397 > 544

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(544, 90, S5, 2, 34) [i]Depth Reduction
2No OOA(544, 90, S5, 3, 34) [i]
3No (10, 44, 90)-net in base 5 [i]Extracting Embedded Orthogonal Array