Information on Result #726622
Linear OA(2776, 728, F27, 40) (dual of [728, 652, 41]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,29}, and designed minimum distance d ≥ |I|+1 = 41
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(2786, 760, F27, 40) (dual of [760, 674, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2785, 758, F27, 40) (dual of [758, 673, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(2787, 758, F27, 41) (dual of [758, 671, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2790, 761, F27, 42) (dual of [761, 671, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(2793, 764, F27, 43) (dual of [764, 671, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(2796, 767, F27, 44) (dual of [767, 671, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(2799, 770, F27, 45) (dual of [770, 671, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(27102, 773, F27, 46) (dual of [773, 671, 47]-code) | [i] | ✔ | |
| 9 | Linear OA(27105, 776, F27, 47) (dual of [776, 671, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(27108, 779, F27, 48) (dual of [779, 671, 49]-code) | [i] | ✔ | |