Information on Result #726735
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 = {−6,−5,…,37}, 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(27105, 784, F27, 44) (dual of [784, 679, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27104, 782, F27, 44) (dual of [782, 678, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(27105, 786, F27, 44) (dual of [786, 681, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(27104, 784, F27, 44) (dual of [784, 680, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(27103, 782, F27, 44) (dual of [782, 679, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(27104, 786, F27, 44) (dual of [786, 682, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(27103, 784, F27, 44) (dual of [784, 681, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(27102, 782, F27, 44) (dual of [782, 680, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(27101, 780, F27, 44) (dual of [780, 679, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(2789, 747, F27, 44) (dual of [747, 658, 45]-code) | [i] | ✔ | |
| 11 | Linear OA(2791, 747, F27, 45) (dual of [747, 656, 46]-code) | [i] | ✔ | |