Information on Result #618159

Linear OA(3235, 1024, F32, 18) (dual of [1024, 989, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18

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(32105, 2048, F32, 37) (dual of [2048, 1943, 38]-code) [i](u, u+v)-Construction
2Linear OA(3244, 1057, F32, 18) (dual of [1057, 1013, 19]-code) [i]
3Linear OA(3245, 1068, F32, 18) (dual of [1068, 1023, 19]-code) [i]
4Linear OA(3246, 1070, F32, 18) (dual of [1070, 1024, 19]-code) [i]
5Linear OA(3247, 1088, F32, 18) (dual of [1088, 1041, 19]-code) [i]
6Linear OA(3248, 1090, F32, 18) (dual of [1090, 1042, 19]-code) [i]
7Linear OA(3249, 1100, F32, 18) (dual of [1100, 1051, 19]-code) [i]
8Linear OA(3250, 1118, F32, 18) (dual of [1118, 1068, 19]-code) [i]
9Linear OA(3251, 1123, F32, 18) (dual of [1123, 1072, 19]-code) [i]
10Linear OA(3249, 1101, F32, 18) (dual of [1101, 1052, 19]-code) [i]
11Linear OA(3250, 1040, F32, 18) (dual of [1040, 990, 19]-code) [i]Generalized (u, u+v)-Construction
12Linear OA(3249, 1039, F32, 18) (dual of [1039, 990, 19]-code) [i]
13Linear OA(3248, 1038, F32, 18) (dual of [1038, 990, 19]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(3249, 1040, F32, 18) (dual of [1040, 991, 19]-code) [i]
15Linear OA(3250, 1090, F32, 18) (dual of [1090, 1040, 19]-code) [i]
16Linear OA(3251, 1101, F32, 18) (dual of [1101, 1050, 19]-code) [i]
17Linear OA(3237, 1026, F32, 19) (dual of [1026, 989, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
18Linear OA(3235, 1026, F32, 18) (dual of [1026, 991, 19]-code) [i]✔
19Linear OA(3240, 1029, F32, 20) (dual of [1029, 989, 21]-code) [i]✔
20Linear OA(3236, 1029, F32, 18) (dual of [1029, 993, 19]-code) [i]✔
21Linear OA(3243, 1032, F32, 21) (dual of [1032, 989, 22]-code) [i]✔
22Linear OA(3237, 1032, F32, 18) (dual of [1032, 995, 19]-code) [i]✔
23Linear OA(3246, 1035, F32, 22) (dual of [1035, 989, 23]-code) [i]✔
24Linear OA(3238, 1035, F32, 18) (dual of [1035, 997, 19]-code) [i]✔
25Linear OA(3249, 1038, F32, 23) (dual of [1038, 989, 24]-code) [i]✔
26Linear OA(3239, 1038, F32, 18) (dual of [1038, 999, 19]-code) [i]✔
27Linear OA(3252, 1041, F32, 24) (dual of [1041, 989, 25]-code) [i]✔
28Linear OA(3240, 1041, F32, 18) (dual of [1041, 1001, 19]-code) [i]✔
29Linear OA(3255, 1044, F32, 25) (dual of [1044, 989, 26]-code) [i]✔
30Linear OA(3241, 1044, F32, 18) (dual of [1044, 1003, 19]-code) [i]✔
31Linear OA(3258, 1047, F32, 26) (dual of [1047, 989, 27]-code) [i]✔
32Linear OA(3242, 1047, F32, 18) (dual of [1047, 1005, 19]-code) [i]✔
33Linear OA(3261, 1050, F32, 27) (dual of [1050, 989, 28]-code) [i]✔
34Linear OA(3243, 1050, F32, 18) (dual of [1050, 1007, 19]-code) [i]✔
35Linear OA(3264, 1053, F32, 28) (dual of [1053, 989, 29]-code) [i]✔
36Linear OA(3267, 1056, F32, 29) (dual of [1056, 989, 30]-code) [i]✔
37Linear OA(3271, 1060, F32, 30) (dual of [1060, 989, 31]-code) [i]✔
38Linear OA(3274, 1063, F32, 31) (dual of [1063, 989, 32]-code) [i]✔
39Linear OA(3278, 1067, F32, 33) (dual of [1067, 989, 34]-code) [i]✔
40Linear OA(3280, 1068, F32, 34) (dual of [1068, 988, 35]-code) [i]✔
41Linear OA(3281, 1070, F32, 34) (dual of [1070, 989, 35]-code) [i]✔
42Linear OA(3285, 1074, F32, 35) (dual of [1074, 989, 36]-code) [i]✔
43Linear OA(3288, 1077, F32, 36) (dual of [1077, 989, 37]-code) [i]✔
44Linear OA(3270, 1058, F32, 30) (dual of [1058, 988, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes