Information on Result #60925
There is no OA(5131, 147, S5, 102), because the linear programming bound shows that M ≥ 249 236477 010921 693845 684281 987701 342304 847343 669838 056342 020625 628930 208250 721989 315934 479236 602783 203125 / 6 326951 585981 > 5131
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(5132, 148, S5, 103) | [i] | Truncation | |
| 2 | No OA(5133, 149, S5, 104) | [i] | ||
| 3 | No OOA(5132, 147, S5, 2, 103) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(5133, 147, S5, 2, 104) | [i] | ||
| 5 | No OOA(5135, 147, S5, 2, 106) | [i] | ||
| 6 | No OOA(5136, 147, S5, 2, 107) | [i] | ||
| 7 | No OOA(5137, 147, S5, 2, 108) | [i] | ||
| 8 | No OOA(5138, 147, S5, 2, 109) | [i] | ||
| 9 | No OOA(5139, 147, S5, 2, 110) | [i] | ||
| 10 | No OOA(5140, 147, S5, 2, 111) | [i] | ||
| 11 | No OOA(5141, 147, S5, 2, 112) | [i] | ||
| 12 | No OOA(5142, 147, S5, 2, 113) | [i] | ||
| 13 | No OOA(5143, 147, S5, 2, 114) | [i] | ||
| 14 | No OOA(5144, 147, S5, 2, 115) | [i] | ||
| 15 | No OOA(5145, 147, S5, 2, 116) | [i] | ||
| 16 | No OOA(5146, 147, S5, 2, 117) | [i] | ||
| 17 | No OOA(5147, 147, S5, 2, 118) | [i] | ||
| 18 | No OOA(5148, 147, S5, 2, 119) | [i] | ||
| 19 | No OOA(5149, 147, S5, 2, 120) | [i] | ||
| 20 | No OOA(5150, 147, S5, 2, 121) | [i] | ||
| 21 | No OOA(5131, 147, S5, 2, 102) | [i] | Depth Reduction | |
| 22 | No OOA(5131, 147, S5, 3, 102) | [i] | ||
| 23 | No (29, 131, 147)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 24 | No linear OA(5132, 181, F5, 102) (dual of [181, 49, 103]-code) | [i] | Construction Y1 (Bound) | |