Information on Result #726131
Linear OA(2760, 728, F27, 32) (dual of [728, 668, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,28}, and designed minimum distance d ≥ |I|+1 = 33
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2772, 758, F27, 33) (dual of [758, 686, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2771, 756, F27, 33) (dual of [756, 685, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(2775, 761, F27, 34) (dual of [761, 686, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(2770, 753, F27, 33) (dual of [753, 683, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2774, 759, F27, 34) (dual of [759, 685, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(2778, 764, F27, 35) (dual of [764, 686, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(2769, 750, F27, 33) (dual of [750, 681, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(2777, 762, F27, 35) (dual of [762, 685, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(2781, 767, F27, 36) (dual of [767, 686, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(2785, 770, F27, 37) (dual of [770, 685, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(2768, 747, F27, 33) (dual of [747, 679, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(2780, 765, F27, 36) (dual of [765, 685, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(2784, 770, F27, 37) (dual of [770, 686, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(2788, 773, F27, 38) (dual of [773, 685, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(2767, 744, F27, 33) (dual of [744, 677, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(2783, 768, F27, 37) (dual of [768, 685, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(2787, 773, F27, 38) (dual of [773, 686, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(2791, 776, F27, 39) (dual of [776, 685, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(2786, 771, F27, 38) (dual of [771, 685, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(2790, 776, F27, 39) (dual of [776, 686, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(2794, 779, F27, 40) (dual of [779, 685, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(2798, 782, F27, 41) (dual of [782, 684, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(2789, 774, F27, 39) (dual of [774, 685, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(2793, 779, F27, 40) (dual of [779, 686, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(2797, 782, F27, 41) (dual of [782, 685, 42]-code) | [i] | ✔ | |
| 26 | Linear OA(2764, 738, F27, 33) (dual of [738, 674, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(2792, 777, F27, 40) (dual of [777, 685, 41]-code) | [i] | ✔ | |
| 28 | Linear OA(2796, 782, F27, 41) (dual of [782, 686, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(27102, 788, F27, 42) (dual of [788, 686, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(2795, 780, F27, 41) (dual of [780, 685, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(27101, 788, F27, 42) (dual of [788, 687, 43]-code) | [i] | ✔ | |