Information on Result #618303
Linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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 | OA(8105, 1024, S8, 33) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1679, 1024, S16, 33) | [i] | ||
| 3 | Linear OA(3279, 1057, F32, 33) (dual of [1057, 978, 34]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3280, 1068, F32, 33) (dual of [1068, 988, 34]-code) | [i] | ||
| 5 | Linear OA(3281, 1070, F32, 33) (dual of [1070, 989, 34]-code) | [i] | ||
| 6 | Linear OA(3282, 1088, F32, 33) (dual of [1088, 1006, 34]-code) | [i] | ||
| 7 | Linear OA(3283, 1090, F32, 33) (dual of [1090, 1007, 34]-code) | [i] | ||
| 8 | Linear OA(3284, 1100, F32, 33) (dual of [1100, 1016, 34]-code) | [i] | ||
| 9 | Linear OA(3285, 1102, F32, 33) (dual of [1102, 1017, 34]-code) | [i] | ||
| 10 | Linear OA(3286, 1122, F32, 33) (dual of [1122, 1036, 34]-code) | [i] | ||
| 11 | Linear OA(3287, 1124, F32, 33) (dual of [1124, 1037, 34]-code) | [i] | ||
| 12 | Linear OA(3288, 1128, F32, 33) (dual of [1128, 1040, 34]-code) | [i] | ||
| 13 | Linear OA(3289, 1130, F32, 33) (dual of [1130, 1041, 34]-code) | [i] | ||
| 14 | Linear OA(3290, 1144, F32, 33) (dual of [1144, 1054, 34]-code) | [i] | ||
| 15 | Linear OA(3291, 1146, F32, 33) (dual of [1146, 1055, 34]-code) | [i] | ||
| 16 | Linear OA(3292, 1148, F32, 33) (dual of [1148, 1056, 34]-code) | [i] | ||
| 17 | Linear OA(3293, 1366, F32, 33) (dual of [1366, 1273, 34]-code) | [i] | ||
| 18 | Linear OA(3293, 1369, F32, 33) (dual of [1369, 1276, 34]-code) | [i] | ||
| 19 | Linear OA(3290, 1090, F32, 33) (dual of [1090, 1000, 34]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(3291, 1101, F32, 33) (dual of [1101, 1010, 34]-code) | [i] | ||
| 21 | Linear OA(3292, 1112, F32, 33) (dual of [1112, 1020, 34]-code) | [i] | ||
| 22 | Linear OA(3293, 1114, F32, 33) (dual of [1114, 1021, 34]-code) | [i] | ||
| 23 | Linear OA(3293, 1121, F32, 33) (dual of [1121, 1028, 34]-code) | [i] | ||
| 24 | Linear OA(3270, 1046, F32, 33) (dual of [1046, 976, 34]-code) | [i] | Varšamov–Edel Lengthening | |
| 25 | Linear OA(3271, 1067, F32, 33) (dual of [1067, 996, 34]-code) | [i] | ||
| 26 | Linear OA(3272, 1104, F32, 33) (dual of [1104, 1032, 34]-code) | [i] | ||
| 27 | Linear OA(3273, 1171, F32, 33) (dual of [1171, 1098, 34]-code) | [i] | ||
| 28 | Linear OA(3274, 1273, F32, 33) (dual of [1273, 1199, 34]-code) | [i] | ||
| 29 | Linear OA(3275, 1408, F32, 33) (dual of [1408, 1333, 34]-code) | [i] | ||
| 30 | Linear OA(3264, 1027, F32, 33) (dual of [1027, 963, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 31 | Linear OA(3267, 1028, F32, 35) (dual of [1028, 961, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(3265, 1030, F32, 33) (dual of [1030, 965, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(3270, 1031, F32, 36) (dual of [1031, 961, 37]-code) | [i] | ✔ | |
| 34 | Linear OA(3266, 1033, F32, 33) (dual of [1033, 967, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(3273, 1034, F32, 37) (dual of [1034, 961, 38]-code) | [i] | ✔ | |
| 36 | Linear OA(3267, 1036, F32, 33) (dual of [1036, 969, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(3276, 1037, F32, 38) (dual of [1037, 961, 39]-code) | [i] | ✔ | |
| 38 | Linear OA(3268, 1039, F32, 33) (dual of [1039, 971, 34]-code) | [i] | ✔ | |
| 39 | Linear OA(3279, 1040, F32, 39) (dual of [1040, 961, 40]-code) | [i] | ✔ | |
| 40 | Linear OA(3269, 1042, F32, 33) (dual of [1042, 973, 34]-code) | [i] | ✔ | |
| 41 | Linear OA(3282, 1043, F32, 40) (dual of [1043, 961, 41]-code) | [i] | ✔ | |
| 42 | Linear OA(3270, 1045, F32, 33) (dual of [1045, 975, 34]-code) | [i] | ✔ | |
| 43 | Linear OA(3285, 1046, F32, 41) (dual of [1046, 961, 42]-code) | [i] | ✔ | |
| 44 | Linear OA(3271, 1048, F32, 33) (dual of [1048, 977, 34]-code) | [i] | ✔ | |
| 45 | Linear OA(3288, 1049, F32, 42) (dual of [1049, 961, 43]-code) | [i] | ✔ | |
| 46 | Linear OA(3272, 1051, F32, 33) (dual of [1051, 979, 34]-code) | [i] | ✔ | |
| 47 | Linear OA(3291, 1052, F32, 43) (dual of [1052, 961, 44]-code) | [i] | ✔ | |
| 48 | Linear OA(3273, 1054, F32, 33) (dual of [1054, 981, 34]-code) | [i] | ✔ | |
| 49 | Linear OA(3294, 1055, F32, 44) (dual of [1055, 961, 45]-code) | [i] | ✔ | |
| 50 | Linear OA(3274, 1057, F32, 33) (dual of [1057, 983, 34]-code) | [i] | ✔ | |
| 51 | Linear OA(3298, 1059, F32, 45) (dual of [1059, 961, 46]-code) | [i] | ✔ | |
| 52 | Linear OA(3276, 1061, F32, 33) (dual of [1061, 985, 34]-code) | [i] | ✔ | |
| 53 | Linear OA(32101, 1062, F32, 46) (dual of [1062, 961, 47]-code) | [i] | ✔ | |
| 54 | Linear OA(3277, 1064, F32, 33) (dual of [1064, 987, 34]-code) | [i] | ✔ | |
| 55 | Linear OA(32104, 1065, F32, 47) (dual of [1065, 961, 48]-code) | [i] | ✔ | |
| 56 | Linear OA(3278, 1067, F32, 33) (dual of [1067, 989, 34]-code) | [i] | ✔ | |
| 57 | Linear OA(32107, 1068, F32, 48) (dual of [1068, 961, 49]-code) | [i] | ✔ | |
| 58 | Linear OA(3280, 1070, F32, 33) (dual of [1070, 990, 34]-code) | [i] | ✔ | |
| 59 | Linear OA(3281, 1072, F32, 33) (dual of [1072, 991, 34]-code) | [i] | ✔ | |
| 60 | Linear OA(3278, 1068, F32, 32) (dual of [1068, 990, 33]-code) | [i] | ✔ | |
| 61 | Linear OA(3279, 1070, F32, 32) (dual of [1070, 991, 33]-code) | [i] | ✔ | |
| 62 | Linear OA(3297, 1058, F32, 45) (dual of [1058, 961, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 63 | Linear OA(3296, 1058, F32, 44) (dual of [1058, 962, 45]-code) | [i] | ✔ | |
| 64 | Linear OA(3274, 1058, F32, 32) (dual of [1058, 984, 33]-code) | [i] | ✔ | |
| 65 | Linear OOA(3263, 512, F32, 2, 33) (dual of [(512, 2), 961, 34]-NRT-code) | [i] | OOA Folding | |