Information on Result #697285
Linear OA(3261, 1024, F32, 31) (dual of [1024, 963, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(3264, 1027, F32, 33) (dual of [1027, 963, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3261, 1026, F32, 31) (dual of [1026, 965, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(3266, 1029, F32, 34) (dual of [1029, 963, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(3269, 1032, F32, 35) (dual of [1032, 963, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(3263, 1032, F32, 31) (dual of [1032, 969, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(3272, 1035, F32, 36) (dual of [1035, 963, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(3275, 1038, F32, 37) (dual of [1038, 963, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(3265, 1038, F32, 31) (dual of [1038, 973, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(3278, 1041, F32, 38) (dual of [1041, 963, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(3281, 1044, F32, 39) (dual of [1044, 963, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(3267, 1044, F32, 31) (dual of [1044, 977, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(3284, 1047, F32, 40) (dual of [1047, 963, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(3287, 1050, F32, 41) (dual of [1050, 963, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(3269, 1050, F32, 31) (dual of [1050, 981, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(3290, 1053, F32, 42) (dual of [1053, 963, 43]-code) | [i] | ✔ | |
| 16 | Linear OA(3293, 1056, F32, 43) (dual of [1056, 963, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(3271, 1056, F32, 31) (dual of [1056, 985, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(3297, 1060, F32, 44) (dual of [1060, 963, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(32100, 1063, F32, 45) (dual of [1063, 963, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(3274, 1063, F32, 31) (dual of [1063, 989, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(32103, 1066, F32, 46) (dual of [1066, 963, 47]-code) | [i] | ✔ | |
| 22 | Linear OA(32106, 1068, F32, 47) (dual of [1068, 962, 48]-code) | [i] | ✔ | |
| 23 | Linear OA(32107, 1070, F32, 47) (dual of [1070, 963, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(3277, 1070, F32, 31) (dual of [1070, 993, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(3296, 1058, F32, 44) (dual of [1058, 962, 45]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(3294, 1058, F32, 43) (dual of [1058, 964, 44]-code) | [i] | ✔ | |