Information on Result #57747
There is no OA(273, 29, S27, 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(274, 30, S27, 4) | [i] | Truncation | |
| 2 | No OA(275, 31, S27, 5) | [i] | ||
| 3 | No OA(276, 32, S27, 6) | [i] | ||
| 4 | No OA(277, 33, S27, 7) | [i] | ||
| 5 | No OA(278, 34, S27, 8) | [i] | ||
| 6 | No OA(279, 35, S27, 9) | [i] | ||
| 7 | No OA(2710, 36, S27, 10) | [i] | ||
| 8 | No OA(2711, 37, S27, 11) | [i] | ||
| 9 | No OA(2712, 38, S27, 12) | [i] | ||
| 10 | No OA(2713, 39, S27, 13) | [i] | ||
| 11 | No OA(2714, 40, S27, 14) | [i] | ||
| 12 | No OA(2715, 41, S27, 15) | [i] | ||
| 13 | No OA(2716, 42, S27, 16) | [i] | ||
| 14 | No OA(2717, 43, S27, 17) | [i] | ||
| 15 | No OA(2718, 44, S27, 18) | [i] | ||
| 16 | No OA(2719, 45, S27, 19) | [i] | ||
| 17 | No OA(2720, 46, S27, 20) | [i] | ||
| 18 | No OA(2721, 47, S27, 21) | [i] | ||
| 19 | No OA(2722, 48, S27, 22) | [i] | ||
| 20 | No OA(2723, 49, S27, 23) | [i] | ||
| 21 | No OA(2724, 50, S27, 24) | [i] | ||
| 22 | No OA(2725, 51, S27, 25) | [i] | ||
| 23 | No OA(2726, 52, S27, 26) | [i] | ||
| 24 | No OOA(2732, 29, S27, 2, 32) | [i] | m-Reduction for OOAs | |
| 25 | No OOA(273, 29, S27, 2, 3) | [i] | Depth Reduction | |
| 26 | No (0, 3, 29)-net in base 27 | [i] | Extracting Embedded Orthogonal Array | |
| 27 | No 29-cap in AG(2,27) | [i] | Every Affine Cap Is Also a Projective Cap | |
| 28 | No linear OA(2784, 111, F27, 81) (dual of [111, 27, 82]-code) | [i] | Residual Code | |