Information on Result #728038

Linear OA(3237, 1023, F32, 19) (dual of [1023, 986, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(3239, 1027, F32, 20) (dual of [1027, 988, 21]-code) [i]Construction XX with Cyclic Codes
2Linear OA(3245, 1033, F32, 22) (dual of [1033, 988, 23]-code) [i]
3Linear OA(3276, 1077, F32, 30) (dual of [1077, 1001, 31]-code) [i]
4Linear OA(3276, 1078, F32, 30) (dual of [1078, 1002, 31]-code) [i]
5Linear OA(3275, 1074, F32, 30) (dual of [1074, 999, 31]-code) [i]
6Linear OA(3275, 1075, F32, 30) (dual of [1075, 1000, 31]-code) [i]
7Linear OA(3251, 1039, F32, 24) (dual of [1039, 988, 25]-code) [i]
8Linear OA(3274, 1071, F32, 30) (dual of [1071, 997, 31]-code) [i]
9Linear OA(3278, 1075, F32, 31) (dual of [1075, 997, 32]-code) [i]
10Linear OA(3278, 1076, F32, 31) (dual of [1076, 998, 32]-code) [i]
11Linear OA(3274, 1072, F32, 30) (dual of [1072, 998, 31]-code) [i]
12Linear OA(3273, 1068, F32, 30) (dual of [1068, 995, 31]-code) [i]
13Linear OA(3277, 1072, F32, 31) (dual of [1072, 995, 32]-code) [i]
14Linear OA(3277, 1073, F32, 31) (dual of [1073, 996, 32]-code) [i]
15Linear OA(3273, 1069, F32, 30) (dual of [1069, 996, 31]-code) [i]
16Linear OA(3257, 1045, F32, 26) (dual of [1045, 988, 27]-code) [i]
17Linear OA(3272, 1065, F32, 30) (dual of [1065, 993, 31]-code) [i]
18Linear OA(3276, 1069, F32, 31) (dual of [1069, 993, 32]-code) [i]
19Linear OA(3280, 1073, F32, 32) (dual of [1073, 993, 33]-code) [i]
20Linear OA(3276, 1070, F32, 31) (dual of [1070, 994, 32]-code) [i]
21Linear OA(3272, 1066, F32, 30) (dual of [1066, 994, 31]-code) [i]
22Linear OA(3271, 1062, F32, 30) (dual of [1062, 991, 31]-code) [i]
23Linear OA(3271, 1063, F32, 30) (dual of [1063, 992, 31]-code) [i]
24Linear OA(3263, 1051, F32, 28) (dual of [1051, 988, 29]-code) [i]
25Linear OA(3270, 1059, F32, 30) (dual of [1059, 989, 31]-code) [i]
26Linear OA(3274, 1064, F32, 31) (dual of [1064, 990, 32]-code) [i]
27Linear OA(3270, 1060, F32, 30) (dual of [1060, 990, 31]-code) [i]
28Linear OA(3269, 1057, F32, 30) (dual of [1057, 988, 31]-code) [i]
29Linear OA(3241, 1027, F32, 21) (dual of [1027, 986, 22]-code) [i]
30Linear OA(3244, 1030, F32, 22) (dual of [1030, 986, 23]-code) [i]
31Linear OA(3247, 1033, F32, 23) (dual of [1033, 986, 24]-code) [i]
32Linear OA(3250, 1036, F32, 24) (dual of [1036, 986, 25]-code) [i]
33Linear OA(3253, 1039, F32, 25) (dual of [1039, 986, 26]-code) [i]
34Linear OA(3256, 1042, F32, 26) (dual of [1042, 986, 27]-code) [i]
35Linear OA(3259, 1045, F32, 27) (dual of [1045, 986, 28]-code) [i]
36Linear OA(3262, 1048, F32, 28) (dual of [1048, 986, 29]-code) [i]
37Linear OA(3265, 1051, F32, 29) (dual of [1051, 986, 30]-code) [i]
38Linear OA(3268, 1054, F32, 30) (dual of [1054, 986, 31]-code) [i]
39Linear OA(3271, 1057, F32, 31) (dual of [1057, 986, 32]-code) [i]
40Linear OA(3274, 1060, F32, 32) (dual of [1060, 986, 33]-code) [i]