Information on Result #618337

Linear OA(3274, 1024, F32, 39) (dual of [1024, 950, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39

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(3293, 1057, F32, 39) (dual of [1057, 964, 40]-code) [i](u, u+v)-Construction
2Linear OA(3294, 1068, F32, 39) (dual of [1068, 974, 40]-code) [i]
3Linear OA(3295, 1070, F32, 39) (dual of [1070, 975, 40]-code) [i]
4Linear OA(3296, 1088, F32, 39) (dual of [1088, 992, 40]-code) [i]
5Linear OA(3297, 1090, F32, 39) (dual of [1090, 993, 40]-code) [i]
6Linear OA(3298, 1100, F32, 39) (dual of [1100, 1002, 40]-code) [i]
7Linear OA(3299, 1102, F32, 39) (dual of [1102, 1003, 40]-code) [i]
8Linear OA(32100, 1122, F32, 39) (dual of [1122, 1022, 40]-code) [i]
9Linear OA(32101, 1124, F32, 39) (dual of [1124, 1023, 40]-code) [i]
10Linear OA(32102, 1128, F32, 39) (dual of [1128, 1026, 40]-code) [i]
11Linear OA(32103, 1130, F32, 39) (dual of [1130, 1027, 40]-code) [i]
12Linear OA(32104, 1144, F32, 39) (dual of [1144, 1040, 40]-code) [i]
13Linear OA(32105, 1146, F32, 39) (dual of [1146, 1041, 40]-code) [i]
14Linear OA(32106, 1148, F32, 39) (dual of [1148, 1042, 40]-code) [i]
15Linear OA(32107, 1150, F32, 39) (dual of [1150, 1043, 40]-code) [i]
16Linear OA(32108, 1152, F32, 39) (dual of [1152, 1044, 40]-code) [i]
17Linear OA(32109, 1228, F32, 39) (dual of [1228, 1119, 40]-code) [i]
18Linear OA(32110, 1366, F32, 39) (dual of [1366, 1256, 40]-code) [i]
19Linear OA(32110, 1064, F32, 39) (dual of [1064, 954, 40]-code) [i]Generalized (u, u+v)-Construction
20Linear OA(32103, 1054, F32, 39) (dual of [1054, 951, 40]-code) [i]
21Linear OA(32107, 1060, F32, 39) (dual of [1060, 953, 40]-code) [i]
22Linear OA(32109, 1063, F32, 39) (dual of [1063, 954, 40]-code) [i]
23Linear OA(32110, 1066, F32, 39) (dual of [1066, 956, 40]-code) [i]
24Linear OA(32101, 1052, F32, 39) (dual of [1052, 951, 40]-code) [i](u, u−v, u+v+w)-Construction
25Linear OA(32102, 1054, F32, 39) (dual of [1054, 952, 40]-code) [i]
26Linear OA(32103, 1056, F32, 39) (dual of [1056, 953, 40]-code) [i]
27Linear OA(32104, 1058, F32, 39) (dual of [1058, 954, 40]-code) [i]
28Linear OA(32105, 1060, F32, 39) (dual of [1060, 955, 40]-code) [i]
29Linear OA(32106, 1090, F32, 39) (dual of [1090, 984, 40]-code) [i]
30Linear OA(32107, 1101, F32, 39) (dual of [1101, 994, 40]-code) [i]
31Linear OA(32108, 1112, F32, 39) (dual of [1112, 1004, 40]-code) [i]
32Linear OA(32109, 1114, F32, 39) (dual of [1114, 1005, 40]-code) [i]
33Linear OA(32110, 1116, F32, 39) (dual of [1116, 1006, 40]-code) [i]
34Linear OA(32109, 1121, F32, 39) (dual of [1121, 1012, 40]-code) [i]
35Linear OA(32110, 1132, F32, 39) (dual of [1132, 1022, 40]-code) [i]
36Linear OA(3276, 1026, F32, 40) (dual of [1026, 950, 41]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
37Linear OA(3274, 1026, F32, 39) (dual of [1026, 952, 40]-code) [i]✔
38Linear OA(3279, 1029, F32, 41) (dual of [1029, 950, 42]-code) [i]✔
39Linear OA(3275, 1029, F32, 39) (dual of [1029, 954, 40]-code) [i]✔
40Linear OA(3282, 1032, F32, 42) (dual of [1032, 950, 43]-code) [i]✔
41Linear OA(3276, 1032, F32, 39) (dual of [1032, 956, 40]-code) [i]✔
42Linear OA(3285, 1035, F32, 43) (dual of [1035, 950, 44]-code) [i]✔
43Linear OA(3277, 1035, F32, 39) (dual of [1035, 958, 40]-code) [i]✔
44Linear OA(3288, 1038, F32, 44) (dual of [1038, 950, 45]-code) [i]✔
45Linear OA(3278, 1038, F32, 39) (dual of [1038, 960, 40]-code) [i]✔
46Linear OA(3291, 1041, F32, 45) (dual of [1041, 950, 46]-code) [i]✔
47Linear OA(3279, 1040, F32, 39) (dual of [1040, 961, 40]-code) [i]✔
48Linear OA(3294, 1044, F32, 46) (dual of [1044, 950, 47]-code) [i]✔
49Linear OA(3281, 1044, F32, 39) (dual of [1044, 963, 40]-code) [i]✔
50Linear OA(3297, 1047, F32, 47) (dual of [1047, 950, 48]-code) [i]✔
51Linear OA(3282, 1047, F32, 39) (dual of [1047, 965, 40]-code) [i]✔
52Linear OA(32100, 1050, F32, 48) (dual of [1050, 950, 49]-code) [i]✔
53Linear OA(3283, 1050, F32, 39) (dual of [1050, 967, 40]-code) [i]✔
54Linear OA(32103, 1053, F32, 49) (dual of [1053, 950, 50]-code) [i]✔
55Linear OA(3284, 1053, F32, 39) (dual of [1053, 969, 40]-code) [i]✔
56Linear OA(32106, 1056, F32, 50) (dual of [1056, 950, 51]-code) [i]✔
57Linear OA(3285, 1056, F32, 39) (dual of [1056, 971, 40]-code) [i]✔
58Linear OA(32110, 1060, F32, 51) (dual of [1060, 950, 52]-code) [i]✔
59Linear OA(3287, 1060, F32, 39) (dual of [1060, 973, 40]-code) [i]✔
60Linear OA(3288, 1063, F32, 39) (dual of [1063, 975, 40]-code) [i]✔
61Linear OA(3289, 1066, F32, 39) (dual of [1066, 977, 40]-code) [i]✔
62Linear OA(3290, 1068, F32, 39) (dual of [1068, 978, 40]-code) [i]✔
63Linear OA(3291, 1070, F32, 39) (dual of [1070, 979, 40]-code) [i]✔
64Linear OA(3293, 1074, F32, 39) (dual of [1074, 981, 40]-code) [i]✔
65Linear OA(3294, 1077, F32, 39) (dual of [1077, 983, 40]-code) [i]✔
66Linear OA(3295, 1080, F32, 39) (dual of [1080, 985, 40]-code) [i]✔
67Linear OA(32109, 1058, F32, 51) (dual of [1058, 949, 52]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
68Linear OA(32107, 1058, F32, 50) (dual of [1058, 951, 51]-code) [i]✔
69Linear OA(3286, 1058, F32, 39) (dual of [1058, 972, 40]-code) [i]✔