Information on Result #60682
There is no OA(574, 135, S5, 56), because the linear programming bound shows that M ≥ 43 927254 602685 604737 769780 050389 651290 584745 415425 419630 252656 117199 331192 606529 622677 758816 021272 934360 065742 209285 161127 391793 049330 517566 383735 737284 043460 068458 326081 730248 106860 768630 976821 214062 510989 606380 462646 484375 / 7558 387585 900587 374093 050456 176553 314572 659729 483567 414755 400109 448517 687247 745169 534721 500940 816391 332250 353462 202806 967039 291828 856673 812128 888296 596368 868907 636850 628887 > 574
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(574, 135, S5, 2, 56) | [i] | Depth Reduction | |
| 2 | No OOA(574, 135, S5, 3, 56) | [i] | ||
| 3 | No (18, 74, 135)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |