Information on Result #725707
Linear OA(2737, 728, F27, 19) (dual of [728, 691, 20]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,8}, and designed minimum distance d ≥ |I|+1 = 20
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 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(2748, 758, F27, 20) (dual of [758, 710, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2751, 761, F27, 21) (dual of [761, 710, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(2754, 764, F27, 22) (dual of [764, 710, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(2760, 770, F27, 24) (dual of [770, 710, 25]-code) | [i] | ✔ | |