Information on Result #726979
Linear OA(2790, 728, F27, 47) (dual of [728, 638, 48]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,36}, and designed minimum distance d ≥ |I|+1 = 48
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(27109, 783, F27, 47) (dual of [783, 674, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27108, 781, F27, 47) (dual of [781, 673, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(27107, 779, F27, 47) (dual of [779, 672, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(27108, 783, F27, 47) (dual of [783, 675, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(27107, 781, F27, 47) (dual of [781, 674, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(27106, 779, F27, 47) (dual of [779, 673, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(27105, 776, F27, 47) (dual of [776, 671, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(27104, 773, F27, 47) (dual of [773, 669, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(27103, 770, F27, 47) (dual of [770, 667, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(27102, 767, F27, 47) (dual of [767, 665, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(27101, 764, F27, 47) (dual of [764, 663, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(27100, 761, F27, 47) (dual of [761, 661, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(2799, 758, F27, 47) (dual of [758, 659, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(27101, 758, F27, 48) (dual of [758, 657, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(27104, 761, F27, 49) (dual of [761, 657, 50]-code) | [i] | ✔ | |
| 16 | Linear OA(27107, 764, F27, 50) (dual of [764, 657, 51]-code) | [i] | ✔ | |
| 17 | Linear OA(27110, 767, F27, 51) (dual of [767, 657, 52]-code) | [i] | ✔ | |