Information on Result #57746
There is no OA(253, 27, S25, 3), because bound for OAs with index unity
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(254, 28, S25, 4) | [i] | Truncation | |
| 2 | No OA(255, 29, S25, 5) | [i] | ||
| 3 | No OA(256, 30, S25, 6) | [i] | ||
| 4 | No OA(257, 31, S25, 7) | [i] | ||
| 5 | No OA(258, 32, S25, 8) | [i] | ||
| 6 | No OA(259, 33, S25, 9) | [i] | ||
| 7 | No OA(2510, 34, S25, 10) | [i] | ||
| 8 | No OA(2511, 35, S25, 11) | [i] | ||
| 9 | No OA(2512, 36, S25, 12) | [i] | ||
| 10 | No OA(2513, 37, S25, 13) | [i] | ||
| 11 | No OA(2514, 38, S25, 14) | [i] | ||
| 12 | No OA(2515, 39, S25, 15) | [i] | ||
| 13 | No OA(2516, 40, S25, 16) | [i] | ||
| 14 | No OA(2517, 41, S25, 17) | [i] | ||
| 15 | No OA(2518, 42, S25, 18) | [i] | ||
| 16 | No OA(2519, 43, S25, 19) | [i] | ||
| 17 | No OA(2520, 44, S25, 20) | [i] | ||
| 18 | No OA(2521, 45, S25, 21) | [i] | ||
| 19 | No OA(2522, 46, S25, 22) | [i] | ||
| 20 | No OA(2523, 47, S25, 23) | [i] | ||
| 21 | No OA(2524, 48, S25, 24) | [i] | ||
| 22 | No OOA(2530, 27, S25, 2, 30) | [i] | m-Reduction for OOAs | |
| 23 | No OOA(253, 27, S25, 2, 3) | [i] | Depth Reduction | |
| 24 | No (0, 3, 27)-net in base 25 | [i] | Extracting Embedded Orthogonal Array | |
| 25 | No 27-cap in AG(2,25) | [i] | Every Affine Cap Is Also a Projective Cap | |
| 26 | No linear OA(2578, 103, F25, 75) (dual of [103, 25, 76]-code) | [i] | Residual Code | |