Information on Result #726360
Linear OA(2768, 728, F27, 36) (dual of [728, 660, 37]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,28}, and designed minimum distance d ≥ |I|+1 = 37
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [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(2780, 758, F27, 37) (dual of [758, 678, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2779, 756, F27, 37) (dual of [756, 677, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2783, 761, F27, 38) (dual of [761, 678, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(2782, 759, F27, 38) (dual of [759, 677, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(2786, 764, F27, 39) (dual of [764, 678, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2785, 762, F27, 39) (dual of [762, 677, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2789, 767, F27, 40) (dual of [767, 678, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(2793, 770, F27, 41) (dual of [770, 677, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(2776, 750, F27, 37) (dual of [750, 674, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(2788, 765, F27, 40) (dual of [765, 677, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(2792, 770, F27, 41) (dual of [770, 678, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(2796, 773, F27, 42) (dual of [773, 677, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(2791, 768, F27, 41) (dual of [768, 677, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(2795, 773, F27, 42) (dual of [773, 678, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(2799, 776, F27, 43) (dual of [776, 677, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(2794, 771, F27, 42) (dual of [771, 677, 43]-code) | [i] | ✔ | |
| 17 | Linear OA(2798, 776, F27, 43) (dual of [776, 678, 44]-code) | [i] | ✔ | |
| 18 | Linear OA(27102, 779, F27, 44) (dual of [779, 677, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(2797, 774, F27, 43) (dual of [774, 677, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(27101, 779, F27, 44) (dual of [779, 678, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(27105, 782, F27, 45) (dual of [782, 677, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(27100, 777, F27, 44) (dual of [777, 677, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(27104, 782, F27, 45) (dual of [782, 678, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(27110, 788, F27, 46) (dual of [788, 678, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(27103, 780, F27, 45) (dual of [780, 677, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(27109, 788, F27, 46) (dual of [788, 679, 47]-code) | [i] | ✔ | |