Information on Result #726583
Linear OA(2778, 728, F27, 41) (dual of [728, 650, 42]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,35}, and designed minimum distance d ≥ |I|+1 = 42
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]
- 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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2797, 780, F27, 41) (dual of [780, 683, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2796, 778, F27, 41) (dual of [778, 682, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(2795, 776, F27, 41) (dual of [776, 681, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2796, 780, F27, 41) (dual of [780, 684, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2795, 778, F27, 41) (dual of [778, 683, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2794, 776, F27, 41) (dual of [776, 682, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(2793, 774, F27, 41) (dual of [774, 681, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(2782, 744, F27, 41) (dual of [744, 662, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(2784, 744, F27, 42) (dual of [744, 660, 43]-code) | [i] | ✔ | |