Information on Result #618251

Linear OA(3253, 1025, F32, 27) (dual of [1025, 972, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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:

ResultThis
result
only		Method
1Linear OA(3266, 1058, F32, 27) (dual of [1058, 992, 28]-code) [i](u, u+v)-Construction
2Linear OA(3267, 1069, F32, 27) (dual of [1069, 1002, 28]-code) [i]
3Linear OA(3268, 1071, F32, 27) (dual of [1071, 1003, 28]-code) [i]
4Linear OA(3269, 1089, F32, 27) (dual of [1089, 1020, 28]-code) [i]
5Linear OA(3270, 1091, F32, 27) (dual of [1091, 1021, 28]-code) [i]
6Linear OA(3271, 1101, F32, 27) (dual of [1101, 1030, 28]-code) [i]
7Linear OA(3272, 1103, F32, 27) (dual of [1103, 1031, 28]-code) [i]
8Linear OA(3273, 1123, F32, 27) (dual of [1123, 1050, 28]-code) [i]
9Linear OA(3274, 1125, F32, 27) (dual of [1125, 1051, 28]-code) [i]
10Linear OA(3275, 1129, F32, 27) (dual of [1129, 1054, 28]-code) [i]
11Linear OA(3276, 1131, F32, 27) (dual of [1131, 1055, 28]-code) [i]
12Linear OA(3277, 1367, F32, 27) (dual of [1367, 1290, 28]-code) [i]
13Linear OA(3278, 2050, F32, 27) (dual of [2050, 1972, 28]-code) [i]
14Linear OA(3276, 1133, F32, 27) (dual of [1133, 1057, 28]-code) [i]
15Linear OA(3275, 1049, F32, 27) (dual of [1049, 974, 28]-code) [i]Generalized (u, u+v)-Construction
16Linear OA(3277, 1052, F32, 27) (dual of [1052, 975, 28]-code) [i]
17Linear OA(3273, 1047, F32, 27) (dual of [1047, 974, 28]-code) [i](u, u−v, u+v+w)-Construction
18Linear OA(3274, 1049, F32, 27) (dual of [1049, 975, 28]-code) [i]
19Linear OA(3275, 1091, F32, 27) (dual of [1091, 1016, 28]-code) [i]
20Linear OA(3276, 1102, F32, 27) (dual of [1102, 1026, 28]-code) [i]
21Linear OA(3277, 1113, F32, 27) (dual of [1113, 1036, 28]-code) [i]
22Linear OA(3278, 1115, F32, 27) (dual of [1115, 1037, 28]-code) [i]
23Linear OA(3278, 1122, F32, 27) (dual of [1122, 1044, 28]-code) [i]
24Linear OA(3265, 1038, F32, 27) (dual of [1038, 973, 28]-code) [i]✔Construction X with Cyclic Codes
25Linear OA(3258, 1030, F32, 29) (dual of [1030, 972, 30]-code) [i]✔
26Linear OA(3254, 1030, F32, 27) (dual of [1030, 976, 28]-code) [i]✔
27Linear OA(3264, 1036, F32, 31) (dual of [1036, 972, 32]-code) [i]✔
28Linear OA(3256, 1036, F32, 27) (dual of [1036, 980, 28]-code) [i]✔
29Linear OA(3270, 1042, F32, 33) (dual of [1042, 972, 34]-code) [i]✔
30Linear OA(3258, 1042, F32, 27) (dual of [1042, 984, 28]-code) [i]✔
31Linear OA(3276, 1048, F32, 35) (dual of [1048, 972, 36]-code) [i]✔
32Linear OA(3260, 1048, F32, 27) (dual of [1048, 988, 28]-code) [i]✔
33Linear OA(3282, 1054, F32, 37) (dual of [1054, 972, 38]-code) [i]✔
34Linear OA(3262, 1054, F32, 27) (dual of [1054, 992, 28]-code) [i]✔
35Linear OA(3288, 1058, F32, 39) (dual of [1058, 970, 40]-code) [i]✔
36Linear OA(3289, 1061, F32, 39) (dual of [1061, 972, 40]-code) [i]✔
37Linear OA(3287, 1058, F32, 38) (dual of [1058, 971, 39]-code) [i]✔
38Linear OA(3264, 1058, F32, 27) (dual of [1058, 994, 28]-code) [i]✔
39Linear OA(3265, 1061, F32, 27) (dual of [1061, 996, 28]-code) [i]✔
40Linear OA(3263, 1058, F32, 26) (dual of [1058, 995, 27]-code) [i]✔
41Linear OA(3295, 1067, F32, 41) (dual of [1067, 972, 42]-code) [i]✔
42Linear OA(32102, 1071, F32, 43) (dual of [1071, 969, 44]-code) [i]✔
43Linear OA(32103, 1075, F32, 43) (dual of [1075, 972, 44]-code) [i]✔
44Linear OA(32100, 1069, F32, 42) (dual of [1069, 969, 43]-code) [i]✔
45Linear OA(32101, 1071, F32, 42) (dual of [1071, 970, 43]-code) [i]✔
46Linear OA(32109, 1081, F32, 45) (dual of [1081, 972, 46]-code) [i]✔