Information on Result #726604
Linear OA(2780, 728, F27, 42) (dual of [728, 648, 43]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,37}, and designed minimum distance d ≥ |I|+1 = 43
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(27101, 784, F27, 42) (dual of [784, 683, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27100, 782, F27, 42) (dual of [782, 682, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(27101, 786, F27, 42) (dual of [786, 685, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(27100, 784, F27, 42) (dual of [784, 684, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(2799, 782, F27, 42) (dual of [782, 683, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(27100, 786, F27, 42) (dual of [786, 686, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(2799, 784, F27, 42) (dual of [784, 685, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(2798, 782, F27, 42) (dual of [782, 684, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(2797, 780, F27, 42) (dual of [780, 683, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(2783, 741, F27, 42) (dual of [741, 658, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(2785, 741, F27, 43) (dual of [741, 656, 44]-code) | [i] | ✔ | |