Information on Result #726506
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 = {−6,−5,…,33}, 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(2791, 770, F27, 40) (dual of [770, 679, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2792, 774, F27, 40) (dual of [774, 682, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(2791, 772, F27, 40) (dual of [772, 681, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(2790, 770, F27, 40) (dual of [770, 680, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(2789, 768, F27, 40) (dual of [768, 679, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(2781, 747, F27, 40) (dual of [747, 666, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(2783, 747, F27, 41) (dual of [747, 664, 42]-code) | [i] | ✔ | |