Information on Result #62404
There is no OA(9126, 144, S9, 110), because the linear programming bound shows that M ≥ 13985 352127 709815 135823 207322 213660 655679 036196 057151 464807 486617 148753 068973 647813 060841 422573 871412 475846 092090 726797 721652 094761 117031 / 7512 322263 802055 > 9126
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(9127, 145, S9, 111) | [i] | Truncation | |
| 2 | No OA(9128, 146, S9, 112) | [i] | ||
| 3 | No OA(9129, 147, S9, 113) | [i] | ||
| 4 | No OA(9130, 148, S9, 114) | [i] | ||
| 5 | No OA(9131, 149, S9, 115) | [i] | ||
| 6 | No OA(9132, 150, S9, 116) | [i] | ||
| 7 | No OA(9133, 151, S9, 117) | [i] | ||
| 8 | No OA(9134, 152, S9, 118) | [i] | ||
| 9 | No OA(9135, 153, S9, 119) | [i] | ||
| 10 | No OA(9136, 154, S9, 120) | [i] | ||
| 11 | No OA(9137, 155, S9, 121) | [i] | ||
| 12 | No OA(9138, 156, S9, 122) | [i] | ||
| 13 | No OA(9139, 157, S9, 123) | [i] | ||
| 14 | No OA(9140, 158, S9, 124) | [i] | ||
| 15 | No OA(9141, 159, S9, 125) | [i] | ||
| 16 | No OA(9142, 160, S9, 126) | [i] | ||
| 17 | No OA(9143, 161, S9, 127) | [i] | ||
| 18 | No OA(9144, 162, S9, 128) | [i] | ||
| 19 | No OA(9145, 163, S9, 129) | [i] | ||
| 20 | No OA(9146, 164, S9, 130) | [i] | ||
| 21 | No OA(9147, 165, S9, 131) | [i] | ||
| 22 | No OA(9148, 166, S9, 132) | [i] | ||
| 23 | No OA(9149, 167, S9, 133) | [i] | ||
| 24 | No OA(9150, 168, S9, 134) | [i] | ||
| 25 | No OOA(9127, 144, S9, 2, 111) | [i] | m-Reduction for OOAs | |
| 26 | No OOA(9128, 144, S9, 2, 112) | [i] | ||
| 27 | No OOA(9129, 144, S9, 2, 113) | [i] | ||
| 28 | No OOA(9130, 144, S9, 2, 114) | [i] | ||
| 29 | No OOA(9131, 144, S9, 2, 115) | [i] | ||
| 30 | No OOA(9132, 144, S9, 2, 116) | [i] | ||
| 31 | No OOA(9133, 144, S9, 2, 117) | [i] | ||
| 32 | No OOA(9134, 144, S9, 2, 118) | [i] | ||
| 33 | No OOA(9135, 144, S9, 2, 119) | [i] | ||
| 34 | No OOA(9136, 144, S9, 2, 120) | [i] | ||
| 35 | No OOA(9137, 144, S9, 2, 121) | [i] | ||
| 36 | No OOA(9138, 144, S9, 2, 122) | [i] | ||
| 37 | No OOA(9139, 144, S9, 2, 123) | [i] | ||
| 38 | No OOA(9140, 144, S9, 2, 124) | [i] | ||
| 39 | No OOA(9141, 144, S9, 2, 125) | [i] | ||
| 40 | No OOA(9142, 144, S9, 2, 126) | [i] | ||
| 41 | No OOA(9143, 144, S9, 2, 127) | [i] | ||
| 42 | No OOA(9144, 144, S9, 2, 128) | [i] | ||
| 43 | No OOA(9145, 144, S9, 2, 129) | [i] | ||
| 44 | No OOA(9146, 144, S9, 2, 130) | [i] | ||
| 45 | No OOA(9147, 144, S9, 2, 131) | [i] | ||
| 46 | No OOA(9148, 144, S9, 2, 132) | [i] | ||
| 47 | No OOA(9149, 144, S9, 2, 133) | [i] | ||
| 48 | No OOA(9150, 144, S9, 2, 134) | [i] | ||
| 49 | No OOA(9126, 144, S9, 2, 110) | [i] | Depth Reduction | |
| 50 | No OOA(9126, 144, S9, 3, 110) | [i] | ||
| 51 | No (16, 126, 144)-net in base 9 | [i] | Extracting Embedded Orthogonal Array | |
| 52 | No linear OA(9127, 261, F9, 110) (dual of [261, 134, 111]-code) | [i] | Construction Y1 (Bound) | |