Information on Result #60760

There is no OA(599, 300, S5, 69), because the linear programming bound shows that M ≥ 695 287988 126618 868852 612000 239496 562563 824063 906030 186819 600099 435489 031537 925448 460495 281082 812221 197984 683726 297336 397236 619972 686626 905656 094040 520030 070391 154018 542845 260952 844910 207204 520702 362060 546875 / 280439 373894 412081 020922 879411 708845 744810 893978 969409 355090 253911 885990 228102 657601 796451 470918 711542 266337 280307 291979 665058 394812 540747 > 599

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(598, 299, S5, 69) [i]Code Embedding in Larger Space
2No OA(597, 298, S5, 69) [i]
3No OA(596, 297, S5, 69) [i]
4No OA(595, 296, S5, 69) [i]
5No OOA(599, 300, S5, 2, 69) [i]Depth Reduction
6No OOA(599, 300, S5, 3, 69) [i]
7No (30, 99, 300)-net in base 5 [i]Extracting Embedded Orthogonal Array