Information on Result #618359
Linear OA(3282, 1024, F32, 43) (dual of [1024, 942, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(32103, 1057, F32, 43) (dual of [1057, 954, 44]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32104, 1068, F32, 43) (dual of [1068, 964, 44]-code) | [i] | ||
| 3 | Linear OA(32105, 1070, F32, 43) (dual of [1070, 965, 44]-code) | [i] | ||
| 4 | Linear OA(32106, 1088, F32, 43) (dual of [1088, 982, 44]-code) | [i] | ||
| 5 | Linear OA(32107, 1090, F32, 43) (dual of [1090, 983, 44]-code) | [i] | ||
| 6 | Linear OA(32108, 1100, F32, 43) (dual of [1100, 992, 44]-code) | [i] | ||
| 7 | Linear OA(32109, 1102, F32, 43) (dual of [1102, 993, 44]-code) | [i] | ||
| 8 | Linear OA(32110, 1122, F32, 43) (dual of [1122, 1012, 44]-code) | [i] | ||
| 9 | Linear OA(3284, 1026, F32, 44) (dual of [1026, 942, 45]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(3282, 1026, F32, 43) (dual of [1026, 944, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(3287, 1029, F32, 45) (dual of [1029, 942, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(3283, 1029, F32, 43) (dual of [1029, 946, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(3290, 1032, F32, 46) (dual of [1032, 942, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(3284, 1032, F32, 43) (dual of [1032, 948, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(3293, 1035, F32, 47) (dual of [1035, 942, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(3285, 1035, F32, 43) (dual of [1035, 950, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(3296, 1038, F32, 48) (dual of [1038, 942, 49]-code) | [i] | ✔ | |
| 18 | Linear OA(3286, 1038, F32, 43) (dual of [1038, 952, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(3299, 1041, F32, 49) (dual of [1041, 942, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(3287, 1041, F32, 43) (dual of [1041, 954, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(32102, 1044, F32, 50) (dual of [1044, 942, 51]-code) | [i] | ✔ | |
| 22 | Linear OA(3288, 1044, F32, 43) (dual of [1044, 956, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(32105, 1047, F32, 51) (dual of [1047, 942, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(3289, 1047, F32, 43) (dual of [1047, 958, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(32108, 1050, F32, 52) (dual of [1050, 942, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(3290, 1050, F32, 43) (dual of [1050, 960, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(3291, 1052, F32, 43) (dual of [1052, 961, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(3293, 1056, F32, 43) (dual of [1056, 963, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(3295, 1060, F32, 43) (dual of [1060, 965, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(3296, 1063, F32, 43) (dual of [1063, 967, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(3297, 1066, F32, 43) (dual of [1066, 969, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(3298, 1068, F32, 43) (dual of [1068, 970, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(3299, 1070, F32, 43) (dual of [1070, 971, 44]-code) | [i] | ✔ | |
| 34 | Linear OA(32101, 1074, F32, 43) (dual of [1074, 973, 44]-code) | [i] | ✔ | |
| 35 | Linear OA(32102, 1077, F32, 43) (dual of [1077, 975, 44]-code) | [i] | ✔ | |
| 36 | Linear OA(32103, 1080, F32, 43) (dual of [1080, 977, 44]-code) | [i] | ✔ | |
| 37 | Linear OA(32104, 1083, F32, 43) (dual of [1083, 979, 44]-code) | [i] | ✔ | |
| 38 | Linear OA(32105, 1086, F32, 43) (dual of [1086, 981, 44]-code) | [i] | ✔ | |
| 39 | Linear OA(3294, 1058, F32, 43) (dual of [1058, 964, 44]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |