Information on Result #613252

Linear OA(4186, 1024, F4, 50) (dual of [1024, 838, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50

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(4191, 1029, F4, 51) (dual of [1029, 838, 52]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4186, 1029, F4, 50) (dual of [1029, 843, 51]-code) [i]✔
3Linear OA(4197, 1035, F4, 52) (dual of [1035, 838, 53]-code) [i]✔
4Linear OA(4199, 1037, F4, 53) (dual of [1037, 838, 54]-code) [i]✔
5Linear OA(4189, 1037, F4, 50) (dual of [1037, 848, 51]-code) [i]✔
6Linear OA(4205, 1041, F4, 54) (dual of [1041, 836, 55]-code) [i]✔
7Linear OA(4206, 1044, F4, 54) (dual of [1044, 838, 55]-code) [i]✔
8Linear OA(4190, 1041, F4, 50) (dual of [1041, 851, 51]-code) [i]✔
9Linear OA(4191, 1044, F4, 50) (dual of [1044, 853, 51]-code) [i]✔
10Linear OA(4213, 1051, F4, 55) (dual of [1051, 838, 56]-code) [i]✔
11Linear OA(4193, 1051, F4, 50) (dual of [1051, 858, 51]-code) [i]✔
12Linear OA(4223, 1058, F4, 57) (dual of [1058, 835, 58]-code) [i]✔
13Linear OA(4224, 1062, F4, 57) (dual of [1062, 838, 58]-code) [i]✔
14Linear OA(4221, 1059, F4, 56) (dual of [1059, 838, 57]-code) [i]✔
15Linear OA(4198, 1058, F4, 50) (dual of [1058, 860, 51]-code) [i]✔
16Linear OA(4199, 1062, F4, 50) (dual of [1062, 863, 51]-code) [i]✔
17Linear OA(4231, 1067, F4, 58) (dual of [1067, 836, 59]-code) [i]✔
18Linear OA(4232, 1070, F4, 58) (dual of [1070, 838, 59]-code) [i]✔
19Linear OA(4201, 1067, F4, 50) (dual of [1067, 866, 51]-code) [i]✔
20Linear OA(4202, 1070, F4, 50) (dual of [1070, 868, 51]-code) [i]✔
21Linear OA(4239, 1077, F4, 59) (dual of [1077, 838, 60]-code) [i]✔
22Linear OA(4204, 1077, F4, 50) (dual of [1077, 873, 51]-code) [i]✔
23Linear OA(4248, 1086, F4, 61) (dual of [1086, 838, 62]-code) [i]✔
24Linear OA(4245, 1083, F4, 60) (dual of [1083, 838, 61]-code) [i]✔
25Linear OA(4208, 1086, F4, 50) (dual of [1086, 878, 51]-code) [i]✔
26Linear OA(4259, 1097, F4, 62) (dual of [1097, 838, 63]-code) [i]✔
27Linear OA(4214, 1097, F4, 50) (dual of [1097, 883, 51]-code) [i]✔
28Linear OA(4216, 1100, F4, 50) (dual of [1100, 884, 51]-code) [i]✔
29Linear OA(4256, 1093, F4, 62) (dual of [1093, 837, 63]-code) [i]✔
30Linear OA(4257, 1095, F4, 62) (dual of [1095, 838, 63]-code) [i]✔
31Linear OA(4211, 1093, F4, 50) (dual of [1093, 882, 51]-code) [i]✔
32Linear OA(4212, 1095, F4, 50) (dual of [1095, 883, 51]-code) [i]✔
33Linear OA(4220, 1055, F4, 56) (dual of [1055, 835, 57]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(4212, 1046, F4, 55) (dual of [1046, 834, 56]-code) [i]✔
35Linear OA(4215, 1055, F4, 55) (dual of [1055, 840, 56]-code) [i]✔
36Linear OA(4214, 1053, F4, 55) (dual of [1053, 839, 56]-code) [i]✔
37Linear OA(4207, 1046, F4, 54) (dual of [1046, 839, 55]-code) [i]✔
38Linear OA(4198, 1032, F4, 53) (dual of [1032, 834, 54]-code) [i]✔
39Linear OA(4198, 1037, F4, 52) (dual of [1037, 839, 53]-code) [i]✔
40Linear OA(4188, 1032, F4, 50) (dual of [1032, 844, 51]-code) [i]✔
41Linear OA(4192, 1046, F4, 50) (dual of [1046, 854, 51]-code) [i]✔
42Linear OA(4198, 1060, F4, 50) (dual of [1060, 862, 51]-code) [i]✔
43Linear OA(4197, 1058, F4, 50) (dual of [1058, 861, 51]-code) [i]✔
44Linear OA(4196, 1056, F4, 50) (dual of [1056, 860, 51]-code) [i]✔
45Linear OA(4195, 1054, F4, 50) (dual of [1054, 859, 51]-code) [i]✔