Information on Result #62854
There is no OA(279, 136, S27, 8), because the linear programming bound shows that M ≥ 35766 310676 101581 380904 / 4611 122641 > 279
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(2710, 137, S27, 9) | [i] | Truncation | |
| 2 | No OA(2711, 138, S27, 10) | [i] | ||
| 3 | No OA(2712, 139, S27, 11) | [i] | ||
| 4 | No OA(2713, 140, S27, 12) | [i] | ||
| 5 | No OA(2714, 141, S27, 13) | [i] | ||
| 6 | No OA(2715, 142, S27, 14) | [i] | ||
| 7 | No OA(2716, 143, S27, 15) | [i] | ||
| 8 | No OA(2717, 144, S27, 16) | [i] | ||
| 9 | No OA(2718, 145, S27, 17) | [i] | ||
| 10 | No OA(2719, 146, S27, 18) | [i] | ||
| 11 | No OA(2720, 147, S27, 19) | [i] | ||
| 12 | No OA(2721, 148, S27, 20) | [i] | ||
| 13 | No OA(2722, 149, S27, 21) | [i] | ||
| 14 | No OA(2723, 150, S27, 22) | [i] | ||
| 15 | No OA(2724, 151, S27, 23) | [i] | ||
| 16 | No OA(2725, 152, S27, 24) | [i] | ||
| 17 | No OA(2726, 153, S27, 25) | [i] | ||
| 18 | No OA(2727, 154, S27, 26) | [i] | ||
| 19 | No OA(2728, 155, S27, 27) | [i] | ||
| 20 | No OA(2729, 156, S27, 28) | [i] | ||
| 21 | No OA(2730, 157, S27, 29) | [i] | ||
| 22 | No OA(2731, 158, S27, 30) | [i] | ||
| 23 | No OOA(2710, 136, S27, 2, 9) | [i] | m-Reduction for OOAs | |
| 24 | No OOA(2711, 136, S27, 2, 10) | [i] | ||
| 25 | No OOA(2712, 136, S27, 2, 11) | [i] | ||
| 26 | No OOA(2713, 136, S27, 2, 12) | [i] | ||
| 27 | No OOA(2714, 136, S27, 2, 13) | [i] | ||
| 28 | No OOA(2715, 136, S27, 2, 14) | [i] | ||
| 29 | No OOA(2716, 136, S27, 2, 15) | [i] | ||
| 30 | No OOA(2717, 136, S27, 2, 16) | [i] | ||
| 31 | No OOA(2718, 136, S27, 2, 17) | [i] | ||
| 32 | No OOA(2719, 136, S27, 2, 18) | [i] | ||
| 33 | No OOA(2720, 136, S27, 2, 19) | [i] | ||
| 34 | No OOA(2721, 136, S27, 2, 20) | [i] | ||
| 35 | No OOA(2722, 136, S27, 2, 21) | [i] | ||
| 36 | No OOA(2723, 136, S27, 2, 22) | [i] | ||
| 37 | No OOA(2724, 136, S27, 2, 23) | [i] | ||
| 38 | No OOA(2725, 136, S27, 2, 24) | [i] | ||
| 39 | No OOA(2726, 136, S27, 2, 25) | [i] | ||
| 40 | No OOA(2727, 136, S27, 2, 26) | [i] | ||
| 41 | No OOA(2728, 136, S27, 2, 27) | [i] | ||
| 42 | No OOA(2729, 136, S27, 2, 28) | [i] | ||
| 43 | No OOA(2730, 136, S27, 2, 29) | [i] | ||
| 44 | No OOA(2731, 136, S27, 2, 30) | [i] | ||
| 45 | No OOA(2732, 136, S27, 2, 31) | [i] | ||
| 46 | No OOA(279, 136, S27, 2, 8) | [i] | Depth Reduction | |
| 47 | No (1, 9, 136)-net in base 27 | [i] | Extracting Embedded Orthogonal Array | |