Information on Result #60694

There is no OA(585, 300, S5, 58), because the linear programming bound shows that M ≥ 634 525000 207082 536100 296561 804057 343269 503155 795860 421279 370751 410403 648468 789990 811511 209240 934546 557092 073293 393497 124270 652420 818805 694580 078125 / 1622 404032 421636 974309 186709 807435 620888 960222 026787 418196 121323 364094 426295 408276 101913 > 585

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(584, 299, S5, 58) [i]Code Embedding in Larger Space
2No OA(583, 298, S5, 58) [i]
3No OOA(585, 300, S5, 2, 58) [i]Depth Reduction
4No OOA(585, 300, S5, 3, 58) [i]
5No (27, 85, 300)-net in base 5 [i]Extracting Embedded Orthogonal Array