Information on Result #618321

Linear OA(3270, 1024, F32, 37) (dual of [1024, 954, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37

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:

ResultThis
result
only		Method
1Linear OA(3288, 1057, F32, 37) (dual of [1057, 969, 38]-code) [i](u, u+v)-Construction
2Linear OA(3289, 1068, F32, 37) (dual of [1068, 979, 38]-code) [i]
3Linear OA(3290, 1070, F32, 37) (dual of [1070, 980, 38]-code) [i]
4Linear OA(3291, 1088, F32, 37) (dual of [1088, 997, 38]-code) [i]
5Linear OA(3292, 1090, F32, 37) (dual of [1090, 998, 38]-code) [i]
6Linear OA(3293, 1100, F32, 37) (dual of [1100, 1007, 38]-code) [i]
7Linear OA(3294, 1102, F32, 37) (dual of [1102, 1008, 38]-code) [i]
8Linear OA(3295, 1122, F32, 37) (dual of [1122, 1027, 38]-code) [i]
9Linear OA(3296, 1124, F32, 37) (dual of [1124, 1028, 38]-code) [i]
10Linear OA(3297, 1128, F32, 37) (dual of [1128, 1031, 38]-code) [i]
11Linear OA(3298, 1130, F32, 37) (dual of [1130, 1032, 38]-code) [i]
12Linear OA(3299, 1144, F32, 37) (dual of [1144, 1045, 38]-code) [i]
13Linear OA(32100, 1146, F32, 37) (dual of [1146, 1046, 38]-code) [i]
14Linear OA(32101, 1148, F32, 37) (dual of [1148, 1047, 38]-code) [i]
15Linear OA(32102, 1150, F32, 37) (dual of [1150, 1048, 38]-code) [i]
16Linear OA(32103, 1152, F32, 37) (dual of [1152, 1049, 38]-code) [i]
17Linear OA(32104, 1366, F32, 37) (dual of [1366, 1262, 38]-code) [i]
18Linear OA(32105, 2048, F32, 37) (dual of [2048, 1943, 38]-code) [i]
19Linear OA(32104, 1063, F32, 37) (dual of [1063, 959, 38]-code) [i]Generalized (u, u+v)-Construction
20Linear OA(32105, 1066, F32, 37) (dual of [1066, 961, 38]-code) [i]
21Linear OA(3295, 1050, F32, 37) (dual of [1050, 955, 38]-code) [i](u, u−v, u+v+w)-Construction
22Linear OA(3296, 1052, F32, 37) (dual of [1052, 956, 38]-code) [i]
23Linear OA(3297, 1054, F32, 37) (dual of [1054, 957, 38]-code) [i]
24Linear OA(3298, 1056, F32, 37) (dual of [1056, 958, 38]-code) [i]
25Linear OA(3299, 1058, F32, 37) (dual of [1058, 959, 38]-code) [i]
26Linear OA(32100, 1090, F32, 37) (dual of [1090, 990, 38]-code) [i]
27Linear OA(32101, 1101, F32, 37) (dual of [1101, 1000, 38]-code) [i]
28Linear OA(32102, 1112, F32, 37) (dual of [1112, 1010, 38]-code) [i]
29Linear OA(32103, 1114, F32, 37) (dual of [1114, 1011, 38]-code) [i]
30Linear OA(32104, 1116, F32, 37) (dual of [1116, 1012, 38]-code) [i]
31Linear OA(32103, 1121, F32, 37) (dual of [1121, 1018, 38]-code) [i]
32Linear OA(32104, 1132, F32, 37) (dual of [1132, 1028, 38]-code) [i]
33Linear OA(32105, 1134, F32, 37) (dual of [1134, 1029, 38]-code) [i]
34Linear OA(3272, 1026, F32, 38) (dual of [1026, 954, 39]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
35Linear OA(3270, 1026, F32, 37) (dual of [1026, 956, 38]-code) [i]✔
36Linear OA(3275, 1029, F32, 39) (dual of [1029, 954, 40]-code) [i]✔
37Linear OA(3271, 1029, F32, 37) (dual of [1029, 958, 38]-code) [i]✔
38Linear OA(3278, 1032, F32, 40) (dual of [1032, 954, 41]-code) [i]✔
39Linear OA(3272, 1032, F32, 37) (dual of [1032, 960, 38]-code) [i]✔
40Linear OA(3281, 1035, F32, 41) (dual of [1035, 954, 42]-code) [i]✔
41Linear OA(3273, 1034, F32, 37) (dual of [1034, 961, 38]-code) [i]✔
42Linear OA(3284, 1038, F32, 42) (dual of [1038, 954, 43]-code) [i]✔
43Linear OA(3275, 1038, F32, 37) (dual of [1038, 963, 38]-code) [i]✔
44Linear OA(3287, 1041, F32, 43) (dual of [1041, 954, 44]-code) [i]✔
45Linear OA(3276, 1041, F32, 37) (dual of [1041, 965, 38]-code) [i]✔
46Linear OA(3290, 1044, F32, 44) (dual of [1044, 954, 45]-code) [i]✔
47Linear OA(3277, 1044, F32, 37) (dual of [1044, 967, 38]-code) [i]✔
48Linear OA(3293, 1047, F32, 45) (dual of [1047, 954, 46]-code) [i]✔
49Linear OA(3278, 1047, F32, 37) (dual of [1047, 969, 38]-code) [i]✔
50Linear OA(3296, 1050, F32, 46) (dual of [1050, 954, 47]-code) [i]✔
51Linear OA(3279, 1050, F32, 37) (dual of [1050, 971, 38]-code) [i]✔
52Linear OA(3299, 1053, F32, 47) (dual of [1053, 954, 48]-code) [i]✔
53Linear OA(3280, 1053, F32, 37) (dual of [1053, 973, 38]-code) [i]✔
54Linear OA(32102, 1056, F32, 48) (dual of [1056, 954, 49]-code) [i]✔
55Linear OA(3281, 1056, F32, 37) (dual of [1056, 975, 38]-code) [i]✔
56Linear OA(32106, 1060, F32, 49) (dual of [1060, 954, 50]-code) [i]✔
57Linear OA(3283, 1060, F32, 37) (dual of [1060, 977, 38]-code) [i]✔
58Linear OA(32109, 1063, F32, 50) (dual of [1063, 954, 51]-code) [i]✔
59Linear OA(3284, 1063, F32, 37) (dual of [1063, 979, 38]-code) [i]✔
60Linear OA(3285, 1066, F32, 37) (dual of [1066, 981, 38]-code) [i]✔
61Linear OA(3286, 1068, F32, 37) (dual of [1068, 982, 38]-code) [i]✔
62Linear OA(3287, 1070, F32, 37) (dual of [1070, 983, 38]-code) [i]✔
63Linear OA(3289, 1074, F32, 37) (dual of [1074, 985, 38]-code) [i]✔
64Linear OA(3290, 1077, F32, 37) (dual of [1077, 987, 38]-code) [i]✔
65Linear OA(32105, 1058, F32, 49) (dual of [1058, 953, 50]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
66Linear OA(32103, 1058, F32, 48) (dual of [1058, 955, 49]-code) [i]✔
67Linear OA(3282, 1058, F32, 37) (dual of [1058, 976, 38]-code) [i]✔