Information on Result #618210
Linear OA(3245, 1025, F32, 23) (dual of [1025, 980, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(3256, 1058, F32, 23) (dual of [1058, 1002, 24]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(3257, 1069, F32, 23) (dual of [1069, 1012, 24]-code) | [i] | ||
3 | Linear OA(3258, 1071, F32, 23) (dual of [1071, 1013, 24]-code) | [i] | ||
4 | Linear OA(3259, 1089, F32, 23) (dual of [1089, 1030, 24]-code) | [i] | ||
5 | Linear OA(3260, 1091, F32, 23) (dual of [1091, 1031, 24]-code) | [i] | ||
6 | Linear OA(3261, 1101, F32, 23) (dual of [1101, 1040, 24]-code) | [i] | ||
7 | Linear OA(3262, 1103, F32, 23) (dual of [1103, 1041, 24]-code) | [i] | ||
8 | Linear OA(3263, 1123, F32, 23) (dual of [1123, 1060, 24]-code) | [i] | ||
9 | Linear OA(3264, 1125, F32, 23) (dual of [1125, 1061, 24]-code) | [i] | ||
10 | Linear OA(3265, 1135, F32, 23) (dual of [1135, 1070, 24]-code) | [i] | ||
11 | Linear OA(3266, 2050, F32, 23) (dual of [2050, 1984, 24]-code) | [i] | ||
12 | Linear OA(3264, 1046, F32, 23) (dual of [1046, 982, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
13 | Linear OA(3265, 1049, F32, 23) (dual of [1049, 984, 24]-code) | [i] | ||
14 | Linear OA(3261, 1043, F32, 23) (dual of [1043, 982, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
15 | Linear OA(3262, 1045, F32, 23) (dual of [1045, 983, 24]-code) | [i] | ||
16 | Linear OA(3263, 1091, F32, 23) (dual of [1091, 1028, 24]-code) | [i] | ||
17 | Linear OA(3264, 1102, F32, 23) (dual of [1102, 1038, 24]-code) | [i] | ||
18 | Linear OA(3265, 1113, F32, 23) (dual of [1113, 1048, 24]-code) | [i] | ||
19 | Linear OA(3266, 1115, F32, 23) (dual of [1115, 1049, 24]-code) | [i] | ||
20 | Linear OA(3266, 1122, F32, 23) (dual of [1122, 1056, 24]-code) | [i] | ||
21 | Linear OA(3255, 1036, F32, 23) (dual of [1036, 981, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
22 | Linear OA(3250, 1030, F32, 25) (dual of [1030, 980, 26]-code) | [i] | ✔ | |
23 | Linear OA(3246, 1030, F32, 23) (dual of [1030, 984, 24]-code) | [i] | ✔ | |
24 | Linear OA(3256, 1036, F32, 27) (dual of [1036, 980, 28]-code) | [i] | ✔ | |
25 | Linear OA(3248, 1036, F32, 23) (dual of [1036, 988, 24]-code) | [i] | ✔ | |
26 | Linear OA(3262, 1042, F32, 29) (dual of [1042, 980, 30]-code) | [i] | ✔ | |
27 | Linear OA(3250, 1042, F32, 23) (dual of [1042, 992, 24]-code) | [i] | ✔ | |
28 | Linear OA(3268, 1048, F32, 31) (dual of [1048, 980, 32]-code) | [i] | ✔ | |
29 | Linear OA(3252, 1048, F32, 23) (dual of [1048, 996, 24]-code) | [i] | ✔ | |
30 | Linear OA(3274, 1054, F32, 33) (dual of [1054, 980, 34]-code) | [i] | ✔ | |
31 | Linear OA(3254, 1054, F32, 23) (dual of [1054, 1000, 24]-code) | [i] | ✔ | |
32 | Linear OA(3280, 1058, F32, 35) (dual of [1058, 978, 36]-code) | [i] | ✔ | |
33 | Linear OA(3281, 1061, F32, 35) (dual of [1061, 980, 36]-code) | [i] | ✔ | |
34 | Linear OA(3279, 1058, F32, 34) (dual of [1058, 979, 35]-code) | [i] | ✔ | |
35 | Linear OA(3287, 1067, F32, 37) (dual of [1067, 980, 38]-code) | [i] | ✔ | |
36 | Linear OA(3294, 1071, F32, 39) (dual of [1071, 977, 40]-code) | [i] | ✔ | |
37 | Linear OA(3295, 1075, F32, 39) (dual of [1075, 980, 40]-code) | [i] | ✔ |