Information on Result #697303
Linear OA(3237, 1024, F32, 19) (dual of [1024, 987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3239, 1026, F32, 20) (dual of [1026, 987, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3237, 1026, F32, 19) (dual of [1026, 989, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3245, 1032, F32, 22) (dual of [1032, 987, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(3239, 1032, F32, 19) (dual of [1032, 993, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3251, 1038, F32, 24) (dual of [1038, 987, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(3241, 1038, F32, 19) (dual of [1038, 997, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3257, 1044, F32, 26) (dual of [1044, 987, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(3243, 1044, F32, 19) (dual of [1044, 1001, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(3263, 1050, F32, 28) (dual of [1050, 987, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(3245, 1050, F32, 19) (dual of [1050, 1005, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(3269, 1056, F32, 30) (dual of [1056, 987, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(3277, 1064, F32, 33) (dual of [1064, 987, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(3279, 1066, F32, 34) (dual of [1066, 987, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(3282, 1068, F32, 35) (dual of [1068, 986, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(3283, 1070, F32, 35) (dual of [1070, 987, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(3287, 1074, F32, 36) (dual of [1074, 987, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(3290, 1077, F32, 37) (dual of [1077, 987, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(3293, 1080, F32, 38) (dual of [1080, 987, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(3270, 1058, F32, 30) (dual of [1058, 988, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |