Information on Result #697312
Linear OA(3225, 1024, F32, 13) (dual of [1024, 999, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(3227, 1026, F32, 14) (dual of [1026, 999, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3225, 1026, F32, 13) (dual of [1026, 1001, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(3233, 1032, F32, 16) (dual of [1032, 999, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(3227, 1032, F32, 13) (dual of [1032, 1005, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(3239, 1038, F32, 18) (dual of [1038, 999, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(3229, 1038, F32, 13) (dual of [1038, 1009, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(3245, 1044, F32, 20) (dual of [1044, 999, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(3251, 1050, F32, 22) (dual of [1050, 999, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(3257, 1056, F32, 24) (dual of [1056, 999, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(3264, 1063, F32, 26) (dual of [1063, 999, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(3258, 1058, F32, 24) (dual of [1058, 1000, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |