Information on Result #618343
Linear OA(3276, 1024, F32, 40) (dual of [1024, 948, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40
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(3278, 1026, F32, 41) (dual of [1026, 948, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3276, 1026, F32, 40) (dual of [1026, 950, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(3281, 1029, F32, 42) (dual of [1029, 948, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(3277, 1029, F32, 40) (dual of [1029, 952, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(3284, 1032, F32, 43) (dual of [1032, 948, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(3278, 1032, F32, 40) (dual of [1032, 954, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(3287, 1035, F32, 44) (dual of [1035, 948, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(3279, 1035, F32, 40) (dual of [1035, 956, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(3290, 1038, F32, 45) (dual of [1038, 948, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(3280, 1038, F32, 40) (dual of [1038, 958, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(3293, 1041, F32, 46) (dual of [1041, 948, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(3281, 1041, F32, 40) (dual of [1041, 960, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(3296, 1044, F32, 47) (dual of [1044, 948, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(3282, 1043, F32, 40) (dual of [1043, 961, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(3299, 1047, F32, 48) (dual of [1047, 948, 49]-code) | [i] | ✔ | |
| 16 | Linear OA(3284, 1047, F32, 40) (dual of [1047, 963, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(32102, 1050, F32, 49) (dual of [1050, 948, 50]-code) | [i] | ✔ | |
| 18 | Linear OA(3285, 1050, F32, 40) (dual of [1050, 965, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(32105, 1053, F32, 50) (dual of [1053, 948, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(3286, 1053, F32, 40) (dual of [1053, 967, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(32108, 1056, F32, 51) (dual of [1056, 948, 52]-code) | [i] | ✔ | |
| 22 | Linear OA(3287, 1056, F32, 40) (dual of [1056, 969, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(3289, 1060, F32, 40) (dual of [1060, 971, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(3290, 1063, F32, 40) (dual of [1063, 973, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(3291, 1066, F32, 40) (dual of [1066, 975, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(3292, 1068, F32, 40) (dual of [1068, 976, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(3293, 1070, F32, 40) (dual of [1070, 977, 41]-code) | [i] | ✔ | |
| 28 | Linear OA(3295, 1074, F32, 40) (dual of [1074, 979, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(3296, 1077, F32, 40) (dual of [1077, 981, 41]-code) | [i] | ✔ | |
| 30 | Linear OA(3297, 1080, F32, 40) (dual of [1080, 983, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(3298, 1083, F32, 40) (dual of [1083, 985, 41]-code) | [i] | ✔ | |
| 32 | Linear OA(32109, 1058, F32, 51) (dual of [1058, 949, 52]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 33 | Linear OA(3288, 1058, F32, 40) (dual of [1058, 970, 41]-code) | [i] | ✔ | |