Information on Result #618043
Linear OA(3213, 1025, F32, 7) (dual of [1025, 1012, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, 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(3242, 2050, F32, 15) (dual of [2050, 2008, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3256, 33794, F32, 15) (dual of [33794, 33738, 16]-code) | [i] | ||
| 3 | Linear OA(3270, 1049602, F32, 15) (dual of [1049602, 1049532, 16]-code) | [i] | ||
| 4 | Linear OA(3216, 1059, F32, 7) (dual of [1059, 1043, 8]-code) | [i] | ||
| 5 | Linear OA(3217, 2050, F32, 7) (dual of [2050, 2033, 8]-code) | [i] | ||
| 6 | Linear OA(3224, 32800, F32, 7) (dual of [32800, 32776, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(3215, 1028, F32, 7) (dual of [1028, 1013, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(3218, 1030, F32, 9) (dual of [1030, 1012, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(3214, 1030, F32, 7) (dual of [1030, 1016, 8]-code) | [i] | ✔ | |
| 10 | Linear OA(3224, 1036, F32, 11) (dual of [1036, 1012, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(3230, 1042, F32, 13) (dual of [1042, 1012, 14]-code) | [i] | ✔ | |