Information on Result #613126

Linear OA(4146, 1024, F4, 39) (dual of [1024, 878, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39

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(4152, 1030, F4, 41) (dual of [1030, 878, 42]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4146, 1029, F4, 39) (dual of [1029, 883, 40]-code) [i]✔
3Linear OA(4159, 1037, F4, 42) (dual of [1037, 878, 43]-code) [i]✔
4Linear OA(4147, 1035, F4, 39) (dual of [1035, 888, 40]-code) [i]✔
5Linear OA(4165, 1041, F4, 43) (dual of [1041, 876, 44]-code) [i]✔
6Linear OA(4166, 1044, F4, 43) (dual of [1044, 878, 44]-code) [i]✔
7Linear OA(4150, 1041, F4, 39) (dual of [1041, 891, 40]-code) [i]✔
8Linear OA(4151, 1044, F4, 39) (dual of [1044, 893, 40]-code) [i]✔
9Linear OA(4176, 1054, F4, 45) (dual of [1054, 878, 46]-code) [i]✔
10Linear OA(4173, 1051, F4, 44) (dual of [1051, 878, 45]-code) [i]✔
11Linear OA(4153, 1051, F4, 39) (dual of [1051, 898, 40]-code) [i]✔
12Linear OA(4183, 1058, F4, 46) (dual of [1058, 875, 47]-code) [i]✔
13Linear OA(4184, 1062, F4, 46) (dual of [1062, 878, 47]-code) [i]✔
14Linear OA(4156, 1059, F4, 39) (dual of [1059, 903, 40]-code) [i]✔
15Linear OA(4191, 1067, F4, 47) (dual of [1067, 876, 48]-code) [i]✔
16Linear OA(4192, 1070, F4, 47) (dual of [1070, 878, 48]-code) [i]✔
17Linear OA(4161, 1067, F4, 39) (dual of [1067, 906, 40]-code) [i]✔
18Linear OA(4162, 1070, F4, 39) (dual of [1070, 908, 40]-code) [i]✔
19Linear OA(4200, 1078, F4, 49) (dual of [1078, 878, 50]-code) [i]✔
20Linear OA(4164, 1077, F4, 39) (dual of [1077, 913, 40]-code) [i]✔
21Linear OA(4208, 1086, F4, 50) (dual of [1086, 878, 51]-code) [i]✔
22Linear OA(4165, 1083, F4, 39) (dual of [1083, 918, 40]-code) [i]✔
23Linear OA(4219, 1097, F4, 51) (dual of [1097, 878, 52]-code) [i]✔
24Linear OA(4174, 1097, F4, 39) (dual of [1097, 923, 40]-code) [i]✔
25Linear OA(4226, 1100, F4, 52) (dual of [1100, 874, 53]-code) [i]✔
26Linear OA(4216, 1093, F4, 51) (dual of [1093, 877, 52]-code) [i]✔
27Linear OA(4217, 1095, F4, 51) (dual of [1095, 878, 52]-code) [i]✔
28Linear OA(4171, 1093, F4, 39) (dual of [1093, 922, 40]-code) [i]✔
29Linear OA(4172, 1095, F4, 39) (dual of [1095, 923, 40]-code) [i]✔
30Linear OA(4183, 1060, F4, 46) (dual of [1060, 877, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
31Linear OA(4182, 1058, F4, 46) (dual of [1058, 876, 47]-code) [i]✔
32Linear OA(4181, 1056, F4, 46) (dual of [1056, 875, 47]-code) [i]✔
33Linear OA(4180, 1054, F4, 46) (dual of [1054, 874, 47]-code) [i]✔
34Linear OA(4175, 1051, F4, 45) (dual of [1051, 876, 46]-code) [i]✔
35Linear OA(4174, 1049, F4, 45) (dual of [1049, 875, 46]-code) [i]✔
36Linear OA(4172, 1047, F4, 44) (dual of [1047, 875, 45]-code) [i]✔
37Linear OA(4173, 1047, F4, 45) (dual of [1047, 874, 46]-code) [i]✔
38Linear OA(4171, 1045, F4, 44) (dual of [1045, 874, 45]-code) [i]✔
39Linear OA(4175, 1055, F4, 44) (dual of [1055, 880, 45]-code) [i]✔
40Linear OA(4177, 1056, F4, 45) (dual of [1056, 879, 46]-code) [i]✔
41Linear OA(4174, 1053, F4, 44) (dual of [1053, 879, 45]-code) [i]✔
42Linear OA(4167, 1046, F4, 43) (dual of [1046, 879, 44]-code) [i]✔
43Linear OA(4158, 1032, F4, 42) (dual of [1032, 874, 43]-code) [i]✔
44Linear OA(4153, 1032, F4, 41) (dual of [1032, 879, 42]-code) [i]✔
45Linear OA(4149, 1038, F4, 39) (dual of [1038, 889, 40]-code) [i]✔
46Linear OA(4152, 1046, F4, 39) (dual of [1046, 894, 40]-code) [i]✔
47Linear OA(4155, 1055, F4, 39) (dual of [1055, 900, 40]-code) [i]✔
48Linear OA(4154, 1053, F4, 39) (dual of [1053, 899, 40]-code) [i]✔