Information on Result #618289
Linear OA(3261, 1025, F32, 31) (dual of [1025, 964, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(3276, 1058, F32, 31) (dual of [1058, 982, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3277, 1069, F32, 31) (dual of [1069, 992, 32]-code) | [i] | ||
| 3 | Linear OA(3278, 1071, F32, 31) (dual of [1071, 993, 32]-code) | [i] | ||
| 4 | Linear OA(3279, 1089, F32, 31) (dual of [1089, 1010, 32]-code) | [i] | ||
| 5 | Linear OA(3280, 1091, F32, 31) (dual of [1091, 1011, 32]-code) | [i] | ||
| 6 | Linear OA(3281, 1101, F32, 31) (dual of [1101, 1020, 32]-code) | [i] | ||
| 7 | Linear OA(3282, 1103, F32, 31) (dual of [1103, 1021, 32]-code) | [i] | ||
| 8 | Linear OA(3283, 1123, F32, 31) (dual of [1123, 1040, 32]-code) | [i] | ||
| 9 | Linear OA(3284, 1125, F32, 31) (dual of [1125, 1041, 32]-code) | [i] | ||
| 10 | Linear OA(3285, 1129, F32, 31) (dual of [1129, 1044, 32]-code) | [i] | ||
| 11 | Linear OA(3286, 1131, F32, 31) (dual of [1131, 1045, 32]-code) | [i] | ||
| 12 | Linear OA(3287, 1145, F32, 31) (dual of [1145, 1058, 32]-code) | [i] | ||
| 13 | Linear OA(3288, 1147, F32, 31) (dual of [1147, 1059, 32]-code) | [i] | ||
| 14 | Linear OA(3289, 1367, F32, 31) (dual of [1367, 1278, 32]-code) | [i] | ||
| 15 | Linear OA(3290, 2050, F32, 31) (dual of [2050, 1960, 32]-code) | [i] | ||
| 16 | Linear OA(3286, 1052, F32, 31) (dual of [1052, 966, 32]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(3288, 1055, F32, 31) (dual of [1055, 967, 32]-code) | [i] | ||
| 18 | Linear OA(3289, 1058, F32, 31) (dual of [1058, 969, 32]-code) | [i] | ||
| 19 | Linear OA(3290, 1061, F32, 31) (dual of [1061, 971, 32]-code) | [i] | ||
| 20 | Linear OA(3283, 1049, F32, 31) (dual of [1049, 966, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 21 | Linear OA(3284, 1051, F32, 31) (dual of [1051, 967, 32]-code) | [i] | ||
| 22 | Linear OA(3285, 1053, F32, 31) (dual of [1053, 968, 32]-code) | [i] | ||
| 23 | Linear OA(3286, 1091, F32, 31) (dual of [1091, 1005, 32]-code) | [i] | ||
| 24 | Linear OA(3287, 1102, F32, 31) (dual of [1102, 1015, 32]-code) | [i] | ||
| 25 | Linear OA(3288, 1113, F32, 31) (dual of [1113, 1025, 32]-code) | [i] | ||
| 26 | Linear OA(3289, 1115, F32, 31) (dual of [1115, 1026, 32]-code) | [i] | ||
| 27 | Linear OA(3289, 1122, F32, 31) (dual of [1122, 1033, 32]-code) | [i] | ||
| 28 | Linear OA(3290, 1133, F32, 31) (dual of [1133, 1043, 32]-code) | [i] | ||
| 29 | Linear OA(3275, 1040, F32, 31) (dual of [1040, 965, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 30 | Linear OA(3266, 1030, F32, 33) (dual of [1030, 964, 34]-code) | [i] | ✔ | |
| 31 | Linear OA(3262, 1030, F32, 31) (dual of [1030, 968, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(3272, 1036, F32, 35) (dual of [1036, 964, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(3264, 1036, F32, 31) (dual of [1036, 972, 32]-code) | [i] | ✔ | |
| 34 | Linear OA(3278, 1042, F32, 37) (dual of [1042, 964, 38]-code) | [i] | ✔ | |
| 35 | Linear OA(3266, 1042, F32, 31) (dual of [1042, 976, 32]-code) | [i] | ✔ | |
| 36 | Linear OA(3284, 1048, F32, 39) (dual of [1048, 964, 40]-code) | [i] | ✔ | |
| 37 | Linear OA(3268, 1048, F32, 31) (dual of [1048, 980, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(3290, 1054, F32, 41) (dual of [1054, 964, 42]-code) | [i] | ✔ | |
| 39 | Linear OA(3270, 1054, F32, 31) (dual of [1054, 984, 32]-code) | [i] | ✔ | |
| 40 | Linear OA(3296, 1058, F32, 43) (dual of [1058, 962, 44]-code) | [i] | ✔ | |
| 41 | Linear OA(3297, 1061, F32, 43) (dual of [1061, 964, 44]-code) | [i] | ✔ | |
| 42 | Linear OA(3295, 1058, F32, 42) (dual of [1058, 963, 43]-code) | [i] | ✔ | |
| 43 | Linear OA(3272, 1058, F32, 31) (dual of [1058, 986, 32]-code) | [i] | ✔ | |
| 44 | Linear OA(3273, 1061, F32, 31) (dual of [1061, 988, 32]-code) | [i] | ✔ | |
| 45 | Linear OA(3271, 1058, F32, 30) (dual of [1058, 987, 31]-code) | [i] | ✔ | |
| 46 | Linear OA(32103, 1067, F32, 45) (dual of [1067, 964, 46]-code) | [i] | ✔ | |
| 47 | Linear OA(3275, 1067, F32, 31) (dual of [1067, 992, 32]-code) | [i] | ✔ | |
| 48 | Linear OA(32110, 1071, F32, 47) (dual of [1071, 961, 48]-code) | [i] | ✔ | |
| 49 | Linear OA(32108, 1069, F32, 46) (dual of [1069, 961, 47]-code) | [i] | ✔ | |
| 50 | Linear OA(32109, 1071, F32, 46) (dual of [1071, 962, 47]-code) | [i] | ✔ | |
| 51 | Linear OA(32110, 1074, F32, 46) (dual of [1074, 964, 47]-code) | [i] | ✔ | |