Information on Result #618117
Linear OA(3227, 1024, F32, 14) (dual of [1024, 997, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(3284, 2049, F32, 29) (dual of [2049, 1965, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3234, 1057, F32, 14) (dual of [1057, 1023, 15]-code) | [i] | ||
| 3 | Linear OA(3235, 1068, F32, 14) (dual of [1068, 1033, 15]-code) | [i] | ||
| 4 | Linear OA(3236, 1070, F32, 14) (dual of [1070, 1034, 15]-code) | [i] | ||
| 5 | Linear OA(3237, 1088, F32, 14) (dual of [1088, 1051, 15]-code) | [i] | ||
| 6 | Linear OA(3238, 1118, F32, 14) (dual of [1118, 1080, 15]-code) | [i] | ||
| 7 | Linear OA(3239, 1123, F32, 14) (dual of [1123, 1084, 15]-code) | [i] | ||
| 8 | Linear OA(3237, 1090, F32, 14) (dual of [1090, 1053, 15]-code) | [i] | ||
| 9 | Linear OA(3238, 1036, F32, 14) (dual of [1036, 998, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(3236, 1034, F32, 14) (dual of [1034, 998, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(3237, 1036, F32, 14) (dual of [1036, 999, 15]-code) | [i] | ||
| 12 | Linear OA(3238, 1090, F32, 14) (dual of [1090, 1052, 15]-code) | [i] | ||
| 13 | Linear OA(3239, 1101, F32, 14) (dual of [1101, 1062, 15]-code) | [i] | ||
| 14 | Linear OA(3229, 1026, F32, 15) (dual of [1026, 997, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(3227, 1026, F32, 14) (dual of [1026, 999, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(3232, 1029, F32, 16) (dual of [1029, 997, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(3228, 1029, F32, 14) (dual of [1029, 1001, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(3235, 1032, F32, 17) (dual of [1032, 997, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(3229, 1032, F32, 14) (dual of [1032, 1003, 15]-code) | [i] | ✔ | |
| 20 | Linear OA(3238, 1035, F32, 18) (dual of [1035, 997, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(3230, 1035, F32, 14) (dual of [1035, 1005, 15]-code) | [i] | ✔ | |
| 22 | Linear OA(3241, 1038, F32, 19) (dual of [1038, 997, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(3231, 1038, F32, 14) (dual of [1038, 1007, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(3244, 1041, F32, 20) (dual of [1041, 997, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(3232, 1041, F32, 14) (dual of [1041, 1009, 15]-code) | [i] | ✔ | |
| 26 | Linear OA(3247, 1044, F32, 21) (dual of [1044, 997, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(3233, 1044, F32, 14) (dual of [1044, 1011, 15]-code) | [i] | ✔ | |
| 28 | Linear OA(3250, 1047, F32, 22) (dual of [1047, 997, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(3253, 1050, F32, 23) (dual of [1050, 997, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(3256, 1053, F32, 24) (dual of [1053, 997, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(3259, 1056, F32, 25) (dual of [1056, 997, 26]-code) | [i] | ✔ | |
| 32 | Linear OA(3263, 1060, F32, 26) (dual of [1060, 997, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(3266, 1063, F32, 27) (dual of [1063, 997, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(3269, 1066, F32, 28) (dual of [1066, 997, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(3262, 1058, F32, 26) (dual of [1058, 996, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |