Information on Result #618035
Linear OA(3211, 1024, F32, 6) (dual of [1024, 1013, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(3236, 2049, F32, 13) (dual of [2049, 2013, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3248, 33793, F32, 13) (dual of [33793, 33745, 14]-code) | [i] | ||
| 3 | Linear OA(3260, 1049601, F32, 13) (dual of [1049601, 1049541, 14]-code) | [i] | ||
| 4 | Linear OA(3214, 1058, F32, 6) (dual of [1058, 1044, 7]-code) | [i] | ||
| 5 | Linear OA(3215, 2048, F32, 6) (dual of [2048, 2033, 7]-code) | [i] | ||
| 6 | Linear OA(3213, 1026, F32, 7) (dual of [1026, 1013, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(3211, 1026, F32, 6) (dual of [1026, 1015, 7]-code) | [i] | ✔ | |
| 8 | Linear OA(3216, 1029, F32, 8) (dual of [1029, 1013, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(3212, 1029, F32, 6) (dual of [1029, 1017, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(3219, 1032, F32, 9) (dual of [1032, 1013, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(3213, 1032, F32, 6) (dual of [1032, 1019, 7]-code) | [i] | ✔ | |
| 12 | Linear OA(3222, 1035, F32, 10) (dual of [1035, 1013, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(3225, 1038, F32, 11) (dual of [1038, 1013, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(3228, 1041, F32, 12) (dual of [1041, 1013, 13]-code) | [i] | ✔ | |