Information on Result #728091
Linear OA(3262, 1023, F32, 32) (dual of [1023, 961, 33]-code), using 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(8104, 1023, S8, 32) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1678, 1023, S16, 32) | [i] | ||
| 3 | Linear OA(3291, 1053, F32, 32) (dual of [1053, 962, 33]-code) | [i] | Generalized (u, u+v)-Construction | |
| 4 | Linear OA(3291, 1056, F32, 32) (dual of [1056, 965, 33]-code) | [i] | ||
| 5 | Linear OA(3292, 1059, F32, 32) (dual of [1059, 967, 33]-code) | [i] | ||
| 6 | Linear OA(3283, 1045, F32, 32) (dual of [1045, 962, 33]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(3284, 1047, F32, 32) (dual of [1047, 963, 33]-code) | [i] | ||
| 8 | Linear OA(3285, 1049, F32, 32) (dual of [1049, 964, 33]-code) | [i] | ||
| 9 | Linear OA(3286, 1051, F32, 32) (dual of [1051, 965, 33]-code) | [i] | ||
| 10 | Linear OA(3287, 1053, F32, 32) (dual of [1053, 966, 33]-code) | [i] | ||
| 11 | Linear OA(3288, 1089, F32, 32) (dual of [1089, 1001, 33]-code) | [i] | ||
| 12 | Linear OA(3289, 1100, F32, 32) (dual of [1100, 1011, 33]-code) | [i] | ||
| 13 | Linear OA(3290, 1111, F32, 32) (dual of [1111, 1021, 33]-code) | [i] | ||
| 14 | Linear OA(3291, 1113, F32, 32) (dual of [1113, 1022, 33]-code) | [i] | ||
| 15 | Linear OA(3291, 1120, F32, 32) (dual of [1120, 1029, 33]-code) | [i] | ||
| 16 | Linear OA(3292, 1131, F32, 32) (dual of [1131, 1039, 33]-code) | [i] | ||
| 17 | Linear OA(3269, 1055, F32, 32) (dual of [1055, 986, 33]-code) | [i] | Varšamov–Edel Lengthening | |
| 18 | Linear OA(3270, 1091, F32, 32) (dual of [1091, 1021, 33]-code) | [i] | ||
| 19 | Linear OA(3271, 1162, F32, 32) (dual of [1162, 1091, 33]-code) | [i] | ||
| 20 | Linear OA(3272, 1275, F32, 32) (dual of [1275, 1203, 33]-code) | [i] | ||
| 21 | Linear OA(3274, 1585, F32, 32) (dual of [1585, 1511, 33]-code) | [i] | ||
| 22 | Linear OA(3280, 1074, F32, 32) (dual of [1074, 994, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 23 | Linear OA(3279, 1071, F32, 32) (dual of [1071, 992, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(3280, 1077, F32, 32) (dual of [1077, 997, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(3279, 1074, F32, 32) (dual of [1074, 995, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(3278, 1071, F32, 32) (dual of [1071, 993, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(3277, 1068, F32, 32) (dual of [1068, 991, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(3276, 1065, F32, 32) (dual of [1065, 989, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(3275, 1062, F32, 32) (dual of [1062, 987, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(3274, 1059, F32, 32) (dual of [1059, 985, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(32107, 1089, F32, 44) (dual of [1089, 982, 45]-code) | [i] | ✔ | |
| 32 | Linear OA(32100, 1061, F32, 46) (dual of [1061, 961, 47]-code) | [i] | ✔ | |
| 33 | Linear OA(32103, 1064, F32, 47) (dual of [1064, 961, 48]-code) | [i] | ✔ | |
| 34 | Linear OA(32106, 1067, F32, 48) (dual of [1067, 961, 49]-code) | [i] | ✔ | |
| 35 | Linear OA(32109, 1069, F32, 49) (dual of [1069, 960, 50]-code) | [i] | ✔ | |
| 36 | Linear OA(32109, 1070, F32, 49) (dual of [1070, 961, 50]-code) | [i] | ✔ | |
| 37 | Linear OOA(3262, 511, F32, 2, 32) (dual of [(511, 2), 960, 33]-NRT-code) | [i] | OOA Folding | |