Information on Result #618271
Linear OA(3257, 1025, F32, 29) (dual of [1025, 968, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound)
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(3271, 1058, F32, 29) (dual of [1058, 987, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3272, 1069, F32, 29) (dual of [1069, 997, 30]-code) | [i] | ||
| 3 | Linear OA(3273, 1071, F32, 29) (dual of [1071, 998, 30]-code) | [i] | ||
| 4 | Linear OA(3274, 1089, F32, 29) (dual of [1089, 1015, 30]-code) | [i] | ||
| 5 | Linear OA(3275, 1091, F32, 29) (dual of [1091, 1016, 30]-code) | [i] | ||
| 6 | Linear OA(3276, 1101, F32, 29) (dual of [1101, 1025, 30]-code) | [i] | ||
| 7 | Linear OA(3277, 1103, F32, 29) (dual of [1103, 1026, 30]-code) | [i] | ||
| 8 | Linear OA(3278, 1123, F32, 29) (dual of [1123, 1045, 30]-code) | [i] | ||
| 9 | Linear OA(3279, 1125, F32, 29) (dual of [1125, 1046, 30]-code) | [i] | ||
| 10 | Linear OA(3280, 1129, F32, 29) (dual of [1129, 1049, 30]-code) | [i] | ||
| 11 | Linear OA(3281, 1131, F32, 29) (dual of [1131, 1050, 30]-code) | [i] | ||
| 12 | Linear OA(3282, 1145, F32, 29) (dual of [1145, 1063, 30]-code) | [i] | ||
| 13 | Linear OA(3283, 1367, F32, 29) (dual of [1367, 1284, 30]-code) | [i] | ||
| 14 | Linear OA(3284, 2049, F32, 29) (dual of [2049, 1965, 30]-code) | [i] | ||
| 15 | Linear OA(3283, 1053, F32, 29) (dual of [1053, 970, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 16 | Linear OA(3282, 1052, F32, 29) (dual of [1052, 970, 30]-code) | [i] | ||
| 17 | Linear OA(3283, 1055, F32, 29) (dual of [1055, 972, 30]-code) | [i] | ||
| 18 | Linear OA(3284, 1058, F32, 29) (dual of [1058, 974, 30]-code) | [i] | ||
| 19 | Linear OA(3277, 1047, F32, 29) (dual of [1047, 970, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(3278, 1049, F32, 29) (dual of [1049, 971, 30]-code) | [i] | ||
| 21 | Linear OA(3279, 1051, F32, 29) (dual of [1051, 972, 30]-code) | [i] | ||
| 22 | Linear OA(3280, 1091, F32, 29) (dual of [1091, 1011, 30]-code) | [i] | ||
| 23 | Linear OA(3281, 1102, F32, 29) (dual of [1102, 1021, 30]-code) | [i] | ||
| 24 | Linear OA(3282, 1113, F32, 29) (dual of [1113, 1031, 30]-code) | [i] | ||
| 25 | Linear OA(3283, 1115, F32, 29) (dual of [1115, 1032, 30]-code) | [i] | ||
| 26 | Linear OA(3284, 1117, F32, 29) (dual of [1117, 1033, 30]-code) | [i] | ||
| 27 | Linear OA(3283, 1122, F32, 29) (dual of [1122, 1039, 30]-code) | [i] | ||
| 28 | Linear OA(3284, 1133, F32, 29) (dual of [1133, 1049, 30]-code) | [i] | ||
| 29 | Linear OA(3271, 1040, F32, 29) (dual of [1040, 969, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 30 | Linear OA(3262, 1030, F32, 31) (dual of [1030, 968, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(3258, 1030, F32, 29) (dual of [1030, 972, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(3268, 1036, F32, 33) (dual of [1036, 968, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(3260, 1036, F32, 29) (dual of [1036, 976, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(3274, 1042, F32, 35) (dual of [1042, 968, 36]-code) | [i] | ✔ | |
| 35 | Linear OA(3262, 1042, F32, 29) (dual of [1042, 980, 30]-code) | [i] | ✔ | |
| 36 | Linear OA(3280, 1048, F32, 37) (dual of [1048, 968, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(3264, 1048, F32, 29) (dual of [1048, 984, 30]-code) | [i] | ✔ | |
| 38 | Linear OA(3286, 1054, F32, 39) (dual of [1054, 968, 40]-code) | [i] | ✔ | |
| 39 | Linear OA(3266, 1054, F32, 29) (dual of [1054, 988, 30]-code) | [i] | ✔ | |
| 40 | Linear OA(3292, 1058, F32, 41) (dual of [1058, 966, 42]-code) | [i] | ✔ | |
| 41 | Linear OA(3293, 1061, F32, 41) (dual of [1061, 968, 42]-code) | [i] | ✔ | |
| 42 | Linear OA(3291, 1058, F32, 40) (dual of [1058, 967, 41]-code) | [i] | ✔ | |
| 43 | Linear OA(3268, 1058, F32, 29) (dual of [1058, 990, 30]-code) | [i] | ✔ | |
| 44 | Linear OA(3269, 1061, F32, 29) (dual of [1061, 992, 30]-code) | [i] | ✔ | |
| 45 | Linear OA(3267, 1058, F32, 28) (dual of [1058, 991, 29]-code) | [i] | ✔ | |
| 46 | Linear OA(3299, 1067, F32, 43) (dual of [1067, 968, 44]-code) | [i] | ✔ | |
| 47 | Linear OA(3271, 1067, F32, 29) (dual of [1067, 996, 30]-code) | [i] | ✔ | |
| 48 | Linear OA(32106, 1071, F32, 45) (dual of [1071, 965, 46]-code) | [i] | ✔ | |
| 49 | Linear OA(32107, 1075, F32, 45) (dual of [1075, 968, 46]-code) | [i] | ✔ | |
| 50 | Linear OA(32104, 1069, F32, 44) (dual of [1069, 965, 45]-code) | [i] | ✔ | |
| 51 | Linear OA(32105, 1071, F32, 44) (dual of [1071, 966, 45]-code) | [i] | ✔ | |