Information on Result #62728
There is no OA(259, 124, S25, 8), because the linear programming bound shows that M ≥ 119725 208199 920654 296875 / 31015 449154 > 259
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(2510, 125, S25, 9) | [i] | Truncation | |
| 2 | No OA(2511, 126, S25, 10) | [i] | ||
| 3 | No OA(2512, 127, S25, 11) | [i] | ||
| 4 | No OA(2513, 128, S25, 12) | [i] | ||
| 5 | No OA(2514, 129, S25, 13) | [i] | ||
| 6 | No OA(2515, 130, S25, 14) | [i] | ||
| 7 | No OA(2516, 131, S25, 15) | [i] | ||
| 8 | No OA(2517, 132, S25, 16) | [i] | ||
| 9 | No OA(2518, 133, S25, 17) | [i] | ||
| 10 | No OA(2519, 134, S25, 18) | [i] | ||
| 11 | No OA(2520, 135, S25, 19) | [i] | ||
| 12 | No OA(2521, 136, S25, 20) | [i] | ||
| 13 | No OA(2522, 137, S25, 21) | [i] | ||
| 14 | No OA(2523, 138, S25, 22) | [i] | ||
| 15 | No OA(2524, 139, S25, 23) | [i] | ||
| 16 | No OA(2525, 140, S25, 24) | [i] | ||
| 17 | No OA(2526, 141, S25, 25) | [i] | ||
| 18 | No OA(2527, 142, S25, 26) | [i] | ||
| 19 | No OA(2528, 143, S25, 27) | [i] | ||
| 20 | No OA(2529, 144, S25, 28) | [i] | ||
| 21 | No OOA(2510, 124, S25, 2, 9) | [i] | m-Reduction for OOAs | |
| 22 | No OOA(2511, 124, S25, 2, 10) | [i] | ||
| 23 | No OOA(2512, 124, S25, 2, 11) | [i] | ||
| 24 | No OOA(2513, 124, S25, 2, 12) | [i] | ||
| 25 | No OOA(2514, 124, S25, 2, 13) | [i] | ||
| 26 | No OOA(2515, 124, S25, 2, 14) | [i] | ||
| 27 | No OOA(2516, 124, S25, 2, 15) | [i] | ||
| 28 | No OOA(2517, 124, S25, 2, 16) | [i] | ||
| 29 | No OOA(2518, 124, S25, 2, 17) | [i] | ||
| 30 | No OOA(2519, 124, S25, 2, 18) | [i] | ||
| 31 | No OOA(2520, 124, S25, 2, 19) | [i] | ||
| 32 | No OOA(2521, 124, S25, 2, 20) | [i] | ||
| 33 | No OOA(2522, 124, S25, 2, 21) | [i] | ||
| 34 | No OOA(2523, 124, S25, 2, 22) | [i] | ||
| 35 | No OOA(2524, 124, S25, 2, 23) | [i] | ||
| 36 | No OOA(2525, 124, S25, 2, 24) | [i] | ||
| 37 | No OOA(2526, 124, S25, 2, 25) | [i] | ||
| 38 | No OOA(2527, 124, S25, 2, 26) | [i] | ||
| 39 | No OOA(2528, 124, S25, 2, 27) | [i] | ||
| 40 | No OOA(2529, 124, S25, 2, 28) | [i] | ||
| 41 | No OOA(2530, 124, S25, 2, 29) | [i] | ||
| 42 | No OOA(259, 124, S25, 2, 8) | [i] | Depth Reduction | |
| 43 | No (1, 9, 124)-net in base 25 | [i] | Extracting Embedded Orthogonal Array | |