Information on Result #60916
There is no OA(5127, 143, S5, 99), because the linear programming bound shows that M ≥ 16790 877570 883690 780699 267730 530691 899698 390565 322722 646512 433597 454361 233758 390881 121158 599853 515625 / 225753 948288 > 5127
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 OA(5128, 144, S5, 100) | [i] | Truncation | |
| 2 | No OA(5129, 145, S5, 101) | [i] | ||
| 3 | No OOA(5128, 143, S5, 2, 100) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(5129, 143, S5, 2, 101) | [i] | ||
| 5 | No OOA(5131, 143, S5, 2, 103) | [i] | ||
| 6 | No OOA(5132, 143, S5, 2, 104) | [i] | ||
| 7 | No OOA(5133, 143, S5, 2, 105) | [i] | ||
| 8 | No OOA(5134, 143, S5, 2, 106) | [i] | ||
| 9 | No OOA(5135, 143, S5, 2, 107) | [i] | ||
| 10 | No OOA(5136, 143, S5, 2, 108) | [i] | ||
| 11 | No OOA(5137, 143, S5, 2, 109) | [i] | ||
| 12 | No OOA(5138, 143, S5, 2, 110) | [i] | ||
| 13 | No OOA(5139, 143, S5, 2, 111) | [i] | ||
| 14 | No OOA(5140, 143, S5, 2, 112) | [i] | ||
| 15 | No OOA(5141, 143, S5, 2, 113) | [i] | ||
| 16 | No OOA(5142, 143, S5, 2, 114) | [i] | ||
| 17 | No OOA(5143, 143, S5, 2, 115) | [i] | ||
| 18 | No OOA(5144, 143, S5, 2, 116) | [i] | ||
| 19 | No OOA(5145, 143, S5, 2, 117) | [i] | ||
| 20 | No OOA(5146, 143, S5, 2, 118) | [i] | ||
| 21 | No OOA(5147, 143, S5, 2, 119) | [i] | ||
| 22 | No OOA(5148, 143, S5, 2, 120) | [i] | ||
| 23 | No OOA(5149, 143, S5, 2, 121) | [i] | ||
| 24 | No OOA(5150, 143, S5, 2, 122) | [i] | ||
| 25 | No OOA(5127, 143, S5, 2, 99) | [i] | Depth Reduction | |
| 26 | No OOA(5127, 143, S5, 3, 99) | [i] | ||
| 27 | No (28, 127, 143)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |