Information on Result #618314
Linear OA(3268, 1024, F32, 36) (dual of [1024, 956, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36
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(3270, 1026, F32, 37) (dual of [1026, 956, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3268, 1026, F32, 36) (dual of [1026, 958, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(3273, 1029, F32, 38) (dual of [1029, 956, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(3269, 1029, F32, 36) (dual of [1029, 960, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(3276, 1032, F32, 39) (dual of [1032, 956, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(3270, 1031, F32, 36) (dual of [1031, 961, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(3279, 1035, F32, 40) (dual of [1035, 956, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(3272, 1035, F32, 36) (dual of [1035, 963, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(3282, 1038, F32, 41) (dual of [1038, 956, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(3273, 1038, F32, 36) (dual of [1038, 965, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(3285, 1041, F32, 42) (dual of [1041, 956, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(3274, 1041, F32, 36) (dual of [1041, 967, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(3288, 1044, F32, 43) (dual of [1044, 956, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(3275, 1044, F32, 36) (dual of [1044, 969, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(3291, 1047, F32, 44) (dual of [1047, 956, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(3276, 1047, F32, 36) (dual of [1047, 971, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(3294, 1050, F32, 45) (dual of [1050, 956, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(3277, 1050, F32, 36) (dual of [1050, 973, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(3297, 1053, F32, 46) (dual of [1053, 956, 47]-code) | [i] | ✔ | |
| 20 | Linear OA(3278, 1053, F32, 36) (dual of [1053, 975, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(32100, 1056, F32, 47) (dual of [1056, 956, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(3279, 1056, F32, 36) (dual of [1056, 977, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(32104, 1060, F32, 48) (dual of [1060, 956, 49]-code) | [i] | ✔ | |
| 24 | Linear OA(3281, 1060, F32, 36) (dual of [1060, 979, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(32107, 1063, F32, 49) (dual of [1063, 956, 50]-code) | [i] | ✔ | |
| 26 | Linear OA(3282, 1063, F32, 36) (dual of [1063, 981, 37]-code) | [i] | ✔ | |
| 27 | Linear OA(32110, 1066, F32, 50) (dual of [1066, 956, 51]-code) | [i] | ✔ | |
| 28 | Linear OA(3283, 1066, F32, 36) (dual of [1066, 983, 37]-code) | [i] | ✔ | |
| 29 | Linear OA(3284, 1068, F32, 36) (dual of [1068, 984, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(3285, 1070, F32, 36) (dual of [1070, 985, 37]-code) | [i] | ✔ | |
| 31 | Linear OA(3287, 1074, F32, 36) (dual of [1074, 987, 37]-code) | [i] | ✔ | |
| 32 | Linear OA(3288, 1077, F32, 36) (dual of [1077, 989, 37]-code) | [i] | ✔ | |
| 33 | Linear OA(32103, 1058, F32, 48) (dual of [1058, 955, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 34 | Linear OA(32101, 1058, F32, 47) (dual of [1058, 957, 48]-code) | [i] | ✔ | |
| 35 | Linear OA(3280, 1058, F32, 36) (dual of [1058, 978, 37]-code) | [i] | ✔ | |