Information on Result #726314
Linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38
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 Expurgated Narrow-Sense BCH-Codes [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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2785, 770, F27, 37) (dual of [770, 685, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2786, 774, F27, 37) (dual of [774, 688, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2785, 772, F27, 37) (dual of [772, 687, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2784, 770, F27, 37) (dual of [770, 686, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2783, 768, F27, 37) (dual of [768, 685, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2772, 738, F27, 37) (dual of [738, 666, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2774, 738, F27, 38) (dual of [738, 664, 39]-code) | [i] | ✔ | |