Information on Result #618351
Linear OA(3278, 1024, F32, 41) (dual of [1024, 946, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(3298, 1057, F32, 41) (dual of [1057, 959, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3299, 1068, F32, 41) (dual of [1068, 969, 42]-code) | [i] | ||
| 3 | Linear OA(32100, 1070, F32, 41) (dual of [1070, 970, 42]-code) | [i] | ||
| 4 | Linear OA(32101, 1088, F32, 41) (dual of [1088, 987, 42]-code) | [i] | ||
| 5 | Linear OA(32102, 1090, F32, 41) (dual of [1090, 988, 42]-code) | [i] | ||
| 6 | Linear OA(32103, 1100, F32, 41) (dual of [1100, 997, 42]-code) | [i] | ||
| 7 | Linear OA(32104, 1102, F32, 41) (dual of [1102, 998, 42]-code) | [i] | ||
| 8 | Linear OA(32105, 1122, F32, 41) (dual of [1122, 1017, 42]-code) | [i] | ||
| 9 | Linear OA(32106, 1124, F32, 41) (dual of [1124, 1018, 42]-code) | [i] | ||
| 10 | Linear OA(32107, 1128, F32, 41) (dual of [1128, 1021, 42]-code) | [i] | ||
| 11 | Linear OA(32108, 1130, F32, 41) (dual of [1130, 1022, 42]-code) | [i] | ||
| 12 | Linear OA(32109, 1144, F32, 41) (dual of [1144, 1035, 42]-code) | [i] | ||
| 13 | Linear OA(32110, 1146, F32, 41) (dual of [1146, 1036, 42]-code) | [i] | ||
| 14 | Linear OA(32110, 1057, F32, 41) (dual of [1057, 947, 42]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(32105, 1052, F32, 41) (dual of [1052, 947, 42]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(32106, 1054, F32, 41) (dual of [1054, 948, 42]-code) | [i] | ||
| 17 | Linear OA(32107, 1056, F32, 41) (dual of [1056, 949, 42]-code) | [i] | ||
| 18 | Linear OA(32108, 1058, F32, 41) (dual of [1058, 950, 42]-code) | [i] | ||
| 19 | Linear OA(32109, 1060, F32, 41) (dual of [1060, 951, 42]-code) | [i] | ||
| 20 | Linear OA(32110, 1062, F32, 41) (dual of [1062, 952, 42]-code) | [i] | ||
| 21 | Linear OA(3280, 1026, F32, 42) (dual of [1026, 946, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(3278, 1026, F32, 41) (dual of [1026, 948, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(3283, 1029, F32, 43) (dual of [1029, 946, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(3279, 1029, F32, 41) (dual of [1029, 950, 42]-code) | [i] | ✔ | |
| 25 | Linear OA(3286, 1032, F32, 44) (dual of [1032, 946, 45]-code) | [i] | ✔ | |
| 26 | Linear OA(3280, 1032, F32, 41) (dual of [1032, 952, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(3289, 1035, F32, 45) (dual of [1035, 946, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(3281, 1035, F32, 41) (dual of [1035, 954, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(3292, 1038, F32, 46) (dual of [1038, 946, 47]-code) | [i] | ✔ | |
| 30 | Linear OA(3282, 1038, F32, 41) (dual of [1038, 956, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(3295, 1041, F32, 47) (dual of [1041, 946, 48]-code) | [i] | ✔ | |
| 32 | Linear OA(3283, 1041, F32, 41) (dual of [1041, 958, 42]-code) | [i] | ✔ | |
| 33 | Linear OA(3298, 1044, F32, 48) (dual of [1044, 946, 49]-code) | [i] | ✔ | |
| 34 | Linear OA(3284, 1044, F32, 41) (dual of [1044, 960, 42]-code) | [i] | ✔ | |
| 35 | Linear OA(32101, 1047, F32, 49) (dual of [1047, 946, 50]-code) | [i] | ✔ | |
| 36 | Linear OA(3285, 1046, F32, 41) (dual of [1046, 961, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(32104, 1050, F32, 50) (dual of [1050, 946, 51]-code) | [i] | ✔ | |
| 38 | Linear OA(3287, 1050, F32, 41) (dual of [1050, 963, 42]-code) | [i] | ✔ | |
| 39 | Linear OA(32107, 1053, F32, 51) (dual of [1053, 946, 52]-code) | [i] | ✔ | |
| 40 | Linear OA(3288, 1053, F32, 41) (dual of [1053, 965, 42]-code) | [i] | ✔ | |
| 41 | Linear OA(32110, 1056, F32, 52) (dual of [1056, 946, 53]-code) | [i] | ✔ | |
| 42 | Linear OA(3289, 1056, F32, 41) (dual of [1056, 967, 42]-code) | [i] | ✔ | |
| 43 | Linear OA(3291, 1060, F32, 41) (dual of [1060, 969, 42]-code) | [i] | ✔ | |
| 44 | Linear OA(3292, 1063, F32, 41) (dual of [1063, 971, 42]-code) | [i] | ✔ | |
| 45 | Linear OA(3293, 1066, F32, 41) (dual of [1066, 973, 42]-code) | [i] | ✔ | |
| 46 | Linear OA(3294, 1068, F32, 41) (dual of [1068, 974, 42]-code) | [i] | ✔ | |
| 47 | Linear OA(3295, 1070, F32, 41) (dual of [1070, 975, 42]-code) | [i] | ✔ | |
| 48 | Linear OA(3297, 1074, F32, 41) (dual of [1074, 977, 42]-code) | [i] | ✔ | |
| 49 | Linear OA(3298, 1077, F32, 41) (dual of [1077, 979, 42]-code) | [i] | ✔ | |
| 50 | Linear OA(3299, 1080, F32, 41) (dual of [1080, 981, 42]-code) | [i] | ✔ | |
| 51 | Linear OA(32100, 1083, F32, 41) (dual of [1083, 983, 42]-code) | [i] | ✔ | |
| 52 | Linear OA(3290, 1058, F32, 41) (dual of [1058, 968, 42]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |