Information on Result #59125

There is no OA(3108, 300, S3, 59), because the linear programming bound shows that M ≥ 7 156885 023491 555356 486563 754588 553928 672110 476432 354100 593020 356133 949323 294527 610418 549980 724692 672847 149704 417870 918124 333965 475454 496104 606185 / 1885 631043 371708 591387 274308 463734 923959 817605 012375 783992 452810 608079 732373 132109 648337 103609 > 3108

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(3107, 299, S3, 59) [i]Code Embedding in Larger Space
2No OA(3106, 298, S3, 59) [i]
3No OA(3105, 297, S3, 59) [i]
4No OA(3104, 296, S3, 59) [i]
5No OOA(3108, 300, S3, 2, 59) [i]Depth Reduction
6No OOA(3108, 300, S3, 3, 59) [i]
7No OOA(3108, 300, S3, 4, 59) [i]
8No OOA(3108, 300, S3, 5, 59) [i]
9No (49, 108, 300)-net in base 3 [i]Extracting Embedded Orthogonal Array