Information on Result #60668

There is no OA(580, 300, S5, 54), because the linear programming bound shows that M ≥ 2 266360 235068 117925 555056 572995 493733 438154 195362 577195 366043 921966 880108 148710 095838 152015 403466 066345 572471 618652 343750 000000 000000 / 24361 807139 976599 544379 615861 133207 382601 637670 258354 831434 446648 655831 977007 > 580

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OA(579, 299, S5, 54) [i]Code Embedding in Larger Space
2No OA(578, 298, S5, 54) [i]
3No OOA(580, 300, S5, 2, 54) [i]Depth Reduction
4No OOA(580, 300, S5, 3, 54) [i]
5No (26, 80, 300)-net in base 5 [i]Extracting Embedded Orthogonal Array