Information on Result #60878
There is no OA(5116, 129, S5, 91), because the linear programming bound shows that M ≥ 11 958351 050689 163710 066275 542623 394170 276397 455664 717239 809391 458038 589917 123317 718505 859375 / 9241 308483 > 5116
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(5117, 130, S5, 92) | [i] | Truncation | |
| 2 | No OA(5118, 131, S5, 93) | [i] | ||
| 3 | No OOA(5117, 129, S5, 2, 92) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(5118, 129, S5, 2, 93) | [i] | ||
| 5 | No OOA(5119, 129, S5, 2, 94) | [i] | ||
| 6 | No OOA(5120, 129, S5, 2, 95) | [i] | ||
| 7 | No OOA(5121, 129, S5, 2, 96) | [i] | ||
| 8 | No OOA(5122, 129, S5, 2, 97) | [i] | ||
| 9 | No OOA(5123, 129, S5, 2, 98) | [i] | ||
| 10 | No OOA(5124, 129, S5, 2, 99) | [i] | ||
| 11 | No OOA(5125, 129, S5, 2, 100) | [i] | ||
| 12 | No OOA(5126, 129, S5, 2, 101) | [i] | ||
| 13 | No OOA(5127, 129, S5, 2, 102) | [i] | ||
| 14 | No OOA(5128, 129, S5, 2, 103) | [i] | ||
| 15 | No OOA(5129, 129, S5, 2, 104) | [i] | ||
| 16 | No OOA(5130, 129, S5, 2, 105) | [i] | ||
| 17 | No OOA(5131, 129, S5, 2, 106) | [i] | ||
| 18 | No OOA(5132, 129, S5, 2, 107) | [i] | ||
| 19 | No OOA(5133, 129, S5, 2, 108) | [i] | ||
| 20 | No OOA(5134, 129, S5, 2, 109) | [i] | ||
| 21 | No OOA(5135, 129, S5, 2, 110) | [i] | ||
| 22 | No OOA(5136, 129, S5, 2, 111) | [i] | ||
| 23 | No OOA(5137, 129, S5, 2, 112) | [i] | ||
| 24 | No OOA(5138, 129, S5, 2, 113) | [i] | ||
| 25 | No OOA(5139, 129, S5, 2, 114) | [i] | ||
| 26 | No OOA(5140, 129, S5, 2, 115) | [i] | ||
| 27 | No OOA(5141, 129, S5, 2, 116) | [i] | ||
| 28 | No OOA(5142, 129, S5, 2, 117) | [i] | ||
| 29 | No OOA(5143, 129, S5, 2, 118) | [i] | ||
| 30 | No OOA(5144, 129, S5, 2, 119) | [i] | ||
| 31 | No OOA(5145, 129, S5, 2, 120) | [i] | ||
| 32 | No OOA(5146, 129, S5, 2, 121) | [i] | ||
| 33 | No OOA(5147, 129, S5, 2, 122) | [i] | ||
| 34 | No OOA(5148, 129, S5, 2, 123) | [i] | ||
| 35 | No OOA(5149, 129, S5, 2, 124) | [i] | ||
| 36 | No OOA(5150, 129, S5, 2, 125) | [i] | ||
| 37 | No OOA(5116, 129, S5, 2, 91) | [i] | Depth Reduction | |
| 38 | No OOA(5116, 129, S5, 3, 91) | [i] | ||
| 39 | No (25, 116, 129)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |