Information on Result #726300
Linear OA(2768, 728, F27, 36) (dual of [728, 660, 37]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,31}, and designed minimum distance d ≥ |I|+1 = 37
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2782, 768, F27, 36) (dual of [768, 686, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2781, 766, F27, 36) (dual of [766, 685, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(2780, 764, F27, 36) (dual of [764, 684, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(2779, 762, F27, 36) (dual of [762, 683, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(2771, 741, F27, 36) (dual of [741, 670, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(2773, 741, F27, 37) (dual of [741, 668, 38]-code) | [i] | ✔ | |