Information on Result #726357
Linear OA(2748, 728, F27, 24) (dual of [728, 680, 25]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {4,5,…,27}, and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2748, 388, F27, 2, 24) (dual of [(388, 2), 728, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (24, 48, 388)-net over F27 | [i] | ||
| 3 | Linear OA(2781, 760, F27, 37) (dual of [760, 679, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2784, 763, F27, 38) (dual of [763, 679, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(2788, 768, F27, 39) (dual of [768, 680, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2787, 766, F27, 39) (dual of [766, 679, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2791, 771, F27, 40) (dual of [771, 680, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(2790, 769, F27, 40) (dual of [769, 679, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(2794, 774, F27, 41) (dual of [774, 680, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(2793, 772, F27, 41) (dual of [772, 679, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(2797, 777, F27, 42) (dual of [777, 680, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(2796, 775, F27, 42) (dual of [775, 679, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(27100, 780, F27, 43) (dual of [780, 680, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(2799, 778, F27, 43) (dual of [778, 679, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(27103, 780, F27, 44) (dual of [780, 677, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(27103, 783, F27, 44) (dual of [783, 680, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(27102, 781, F27, 44) (dual of [781, 679, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(27106, 783, F27, 45) (dual of [783, 677, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(27106, 786, F27, 45) (dual of [786, 680, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(27105, 784, F27, 45) (dual of [784, 679, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(27109, 786, F27, 46) (dual of [786, 677, 47]-code) | [i] | ✔ | |
| 22 | Linear OA(27108, 784, F27, 46) (dual of [784, 676, 47]-code) | [i] | ✔ | |