Information on Result #726632
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 = {−8,−7,…,32}, 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(2793, 771, F27, 41) (dual of [771, 678, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2792, 769, F27, 41) (dual of [769, 677, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(2785, 753, F27, 41) (dual of [753, 668, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2787, 753, F27, 42) (dual of [753, 666, 43]-code) | [i] | ✔ | |