Information on Result #726782
Linear OA(2784, 728, F27, 44) (dual of [728, 644, 45]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,36}, and designed minimum distance d ≥ |I|+1 = 45
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(27104, 783, F27, 44) (dual of [783, 679, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27103, 781, F27, 44) (dual of [781, 678, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(27102, 779, F27, 44) (dual of [779, 677, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(27103, 783, F27, 44) (dual of [783, 680, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(27102, 781, F27, 44) (dual of [781, 679, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(27101, 779, F27, 44) (dual of [779, 678, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(27100, 777, F27, 44) (dual of [777, 677, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(2790, 750, F27, 44) (dual of [750, 660, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(2792, 750, F27, 45) (dual of [750, 658, 46]-code) | [i] | ✔ | |