Information on Result #60639
There is no OA(567, 147, S5, 50), because the linear programming bound shows that M ≥ 445 194193 926695 987764 982500 076658 648246 067170 472712 173257 363658 424011 509675 871942 337528 977936 259704 247138 188744 119383 643254 786390 389613 111172 899841 200863 835028 405659 315683 550166 187690 718618 466518 136195 071112 675997 887508 927419 730753 172188 997268 676757 812500 / 6061 149866 851193 298663 698404 862400 817107 118425 502200 195786 375969 584670 590731 928314 827162 404539 790370 582973 181110 340294 645978 411288 153566 736303 580170 228586 822124 443073 770810 787170 739504 083661 447296 876661 063507 > 567
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(567, 147, S5, 2, 50) | [i] | Depth Reduction | |
| 2 | No OOA(567, 147, S5, 3, 50) | [i] | ||
| 3 | No (17, 67, 147)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |