Information on Result #60736
There is no OA(586, 145, S5, 65), because the linear programming bound shows that M ≥ 1 681971 586304 181223 187907 190141 264188 172812 749344 276629 843014 476462 881651 126808 966524 933987 666420 440086 867329 609762 499671 015636 681116 117777 216867 334999 506056 192331 016063 690185 546875 / 1 235197 506395 108210 300700 030853 409382 253498 637886 138574 180390 146599 149915 868081 543662 842688 306834 854616 250416 282850 014131 > 586
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(586, 145, S5, 2, 65) | [i] | Depth Reduction | |
| 2 | No OOA(586, 145, S5, 3, 65) | [i] | ||
| 3 | No (21, 86, 145)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(5124, 210, F5, 95) (dual of [210, 86, 96]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(5128, 214, F5, 98) (dual of [214, 86, 99]-code) | [i] | ||