Information on Result #618375

Linear OA(3292, 1024, F32, 48) (dual of [1024, 932, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48

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(3294, 1026, F32, 49) (dual of [1026, 932, 50]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3292, 1026, F32, 48) (dual of [1026, 934, 49]-code) [i]
3Linear OA(3297, 1029, F32, 50) (dual of [1029, 932, 51]-code) [i]
4Linear OA(3293, 1029, F32, 48) (dual of [1029, 936, 49]-code) [i]
5Linear OA(32100, 1032, F32, 51) (dual of [1032, 932, 52]-code) [i]
6Linear OA(3294, 1032, F32, 48) (dual of [1032, 938, 49]-code) [i]
7Linear OA(32103, 1035, F32, 52) (dual of [1035, 932, 53]-code) [i]
8Linear OA(3295, 1035, F32, 48) (dual of [1035, 940, 49]-code) [i]
9Linear OA(32106, 1038, F32, 53) (dual of [1038, 932, 54]-code) [i]
10Linear OA(3296, 1038, F32, 48) (dual of [1038, 942, 49]-code) [i]
11Linear OA(32109, 1041, F32, 54) (dual of [1041, 932, 55]-code) [i]
12Linear OA(3297, 1041, F32, 48) (dual of [1041, 944, 49]-code) [i]
13Linear OA(3298, 1044, F32, 48) (dual of [1044, 946, 49]-code) [i]
14Linear OA(3299, 1047, F32, 48) (dual of [1047, 948, 49]-code) [i]
15Linear OA(32100, 1050, F32, 48) (dual of [1050, 950, 49]-code) [i]
16Linear OA(32101, 1053, F32, 48) (dual of [1053, 952, 49]-code) [i]
17Linear OA(32102, 1056, F32, 48) (dual of [1056, 954, 49]-code) [i]
18Linear OA(32104, 1060, F32, 48) (dual of [1060, 956, 49]-code) [i]
19Linear OA(32105, 1063, F32, 48) (dual of [1063, 958, 49]-code) [i]
20Linear OA(32106, 1066, F32, 48) (dual of [1066, 960, 49]-code) [i]
21Linear OA(32107, 1068, F32, 48) (dual of [1068, 961, 49]-code) [i]
22Linear OA(32103, 1058, F32, 48) (dual of [1058, 955, 49]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes