Information on Result #618049
Linear OA(3225, 1048577, F32, 7) (dual of [1048577, 1048552, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
Mode: Constructive and linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3228, 1048611, F32, 7) (dual of [1048611, 1048583, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3229, 1049602, F32, 7) (dual of [1049602, 1049573, 8]-code) | [i] | ||
| 3 | Linear OA(3230, 1051713, F32, 7) (dual of [1051713, 1051683, 8]-code) | [i] | ||
| 4 | Linear OA(3230, 1048644, F32, 7) (dual of [1048644, 1048614, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(3227, 1048580, F32, 7) (dual of [1048580, 1048553, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(3234, 1048586, F32, 9) (dual of [1048586, 1048552, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(3226, 1048586, F32, 7) (dual of [1048586, 1048560, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(3244, 1048596, F32, 11) (dual of [1048596, 1048552, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(3254, 1048606, F32, 13) (dual of [1048606, 1048552, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(3234, 1048587, F32, 9) (dual of [1048587, 1048553, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 11 | Linear OA(3226, 1048587, F32, 7) (dual of [1048587, 1048561, 8]-code) | [i] | ✔ | |