Information on Result #727064
Linear OA(2794, 728, F27, 49) (dual of [728, 634, 50]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,38}, and designed minimum distance d ≥ |I|+1 = 50
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(27110, 779, F27, 49) (dual of [779, 669, 50]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27109, 776, F27, 49) (dual of [776, 667, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(27108, 773, F27, 49) (dual of [773, 665, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(27107, 770, F27, 49) (dual of [770, 663, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(27106, 767, F27, 49) (dual of [767, 661, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(27105, 764, F27, 49) (dual of [764, 659, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(27104, 761, F27, 49) (dual of [761, 657, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(27103, 758, F27, 49) (dual of [758, 655, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(27105, 758, F27, 50) (dual of [758, 653, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(27108, 761, F27, 51) (dual of [761, 653, 52]-code) | [i] | ✔ | |