Information on Result #618221
Linear OA(3247, 1024, F32, 24) (dual of [1024, 977, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(3259, 1057, F32, 24) (dual of [1057, 998, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3260, 1068, F32, 24) (dual of [1068, 1008, 25]-code) | [i] | ||
| 3 | Linear OA(3261, 1070, F32, 24) (dual of [1070, 1009, 25]-code) | [i] | ||
| 4 | Linear OA(3262, 1088, F32, 24) (dual of [1088, 1026, 25]-code) | [i] | ||
| 5 | Linear OA(3263, 1090, F32, 24) (dual of [1090, 1027, 25]-code) | [i] | ||
| 6 | Linear OA(3264, 1100, F32, 24) (dual of [1100, 1036, 25]-code) | [i] | ||
| 7 | Linear OA(3265, 1102, F32, 24) (dual of [1102, 1037, 25]-code) | [i] | ||
| 8 | Linear OA(3266, 1122, F32, 24) (dual of [1122, 1056, 25]-code) | [i] | ||
| 9 | Linear OA(3267, 1124, F32, 24) (dual of [1124, 1057, 25]-code) | [i] | ||
| 10 | Linear OA(3268, 1128, F32, 24) (dual of [1128, 1060, 25]-code) | [i] | ||
| 11 | Linear OA(3269, 1366, F32, 24) (dual of [1366, 1297, 25]-code) | [i] | ||
| 12 | Linear OA(3266, 1044, F32, 24) (dual of [1044, 978, 25]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(3264, 1042, F32, 24) (dual of [1042, 978, 25]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(3265, 1044, F32, 24) (dual of [1044, 979, 25]-code) | [i] | ||
| 15 | Linear OA(3266, 1046, F32, 24) (dual of [1046, 980, 25]-code) | [i] | ||
| 16 | Linear OA(3267, 1090, F32, 24) (dual of [1090, 1023, 25]-code) | [i] | ||
| 17 | Linear OA(3268, 1101, F32, 24) (dual of [1101, 1033, 25]-code) | [i] | ||
| 18 | Linear OA(3269, 1112, F32, 24) (dual of [1112, 1043, 25]-code) | [i] | ||
| 19 | Linear OA(3249, 1026, F32, 25) (dual of [1026, 977, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(3247, 1026, F32, 24) (dual of [1026, 979, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(3252, 1029, F32, 26) (dual of [1029, 977, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(3248, 1029, F32, 24) (dual of [1029, 981, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(3255, 1032, F32, 27) (dual of [1032, 977, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(3249, 1032, F32, 24) (dual of [1032, 983, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(3258, 1035, F32, 28) (dual of [1035, 977, 29]-code) | [i] | ✔ | |
| 26 | Linear OA(3250, 1035, F32, 24) (dual of [1035, 985, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(3261, 1038, F32, 29) (dual of [1038, 977, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(3251, 1038, F32, 24) (dual of [1038, 987, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(3264, 1041, F32, 30) (dual of [1041, 977, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(3252, 1041, F32, 24) (dual of [1041, 989, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(3267, 1044, F32, 31) (dual of [1044, 977, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(3253, 1044, F32, 24) (dual of [1044, 991, 25]-code) | [i] | ✔ | |
| 33 | Linear OA(3271, 1048, F32, 33) (dual of [1048, 977, 34]-code) | [i] | ✔ | |
| 34 | Linear OA(3254, 1047, F32, 24) (dual of [1047, 993, 25]-code) | [i] | ✔ | |
| 35 | Linear OA(3273, 1050, F32, 34) (dual of [1050, 977, 35]-code) | [i] | ✔ | |
| 36 | Linear OA(3255, 1050, F32, 24) (dual of [1050, 995, 25]-code) | [i] | ✔ | |
| 37 | Linear OA(3276, 1053, F32, 35) (dual of [1053, 977, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(3256, 1053, F32, 24) (dual of [1053, 997, 25]-code) | [i] | ✔ | |
| 39 | Linear OA(3279, 1056, F32, 36) (dual of [1056, 977, 37]-code) | [i] | ✔ | |
| 40 | Linear OA(3257, 1056, F32, 24) (dual of [1056, 999, 25]-code) | [i] | ✔ | |
| 41 | Linear OA(3283, 1060, F32, 37) (dual of [1060, 977, 38]-code) | [i] | ✔ | |
| 42 | Linear OA(3259, 1060, F32, 24) (dual of [1060, 1001, 25]-code) | [i] | ✔ | |
| 43 | Linear OA(3286, 1063, F32, 38) (dual of [1063, 977, 39]-code) | [i] | ✔ | |
| 44 | Linear OA(3289, 1066, F32, 39) (dual of [1066, 977, 40]-code) | [i] | ✔ | |
| 45 | Linear OA(3292, 1068, F32, 40) (dual of [1068, 976, 41]-code) | [i] | ✔ | |
| 46 | Linear OA(3293, 1070, F32, 40) (dual of [1070, 977, 41]-code) | [i] | ✔ | |
| 47 | Linear OA(3297, 1074, F32, 41) (dual of [1074, 977, 42]-code) | [i] | ✔ | |
| 48 | Linear OA(32100, 1077, F32, 42) (dual of [1077, 977, 43]-code) | [i] | ✔ | |
| 49 | Linear OA(32103, 1080, F32, 43) (dual of [1080, 977, 44]-code) | [i] | ✔ | |
| 50 | Linear OA(32106, 1083, F32, 44) (dual of [1083, 977, 45]-code) | [i] | ✔ | |
| 51 | Linear OA(32109, 1086, F32, 45) (dual of [1086, 977, 46]-code) | [i] | ✔ | |
| 52 | Linear OA(3282, 1058, F32, 37) (dual of [1058, 976, 38]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 53 | Linear OA(3280, 1058, F32, 36) (dual of [1058, 978, 37]-code) | [i] | ✔ | |
| 54 | Linear OA(3258, 1058, F32, 24) (dual of [1058, 1000, 25]-code) | [i] | ✔ | |