Information on Result #613113

Linear OA(4141, 1024, F4, 38) (dual of [1024, 883, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38

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(4146, 1029, F4, 39) (dual of [1029, 883, 40]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4141, 1029, F4, 38) (dual of [1029, 888, 39]-code) [i]✔
3Linear OA(4152, 1035, F4, 40) (dual of [1035, 883, 41]-code) [i]✔
4Linear OA(4154, 1037, F4, 41) (dual of [1037, 883, 42]-code) [i]✔
5Linear OA(4144, 1037, F4, 38) (dual of [1037, 893, 39]-code) [i]✔
6Linear OA(4160, 1041, F4, 42) (dual of [1041, 881, 43]-code) [i]✔
7Linear OA(4161, 1044, F4, 42) (dual of [1044, 883, 43]-code) [i]✔
8Linear OA(4145, 1041, F4, 38) (dual of [1041, 896, 39]-code) [i]✔
9Linear OA(4146, 1044, F4, 38) (dual of [1044, 898, 39]-code) [i]✔
10Linear OA(4168, 1051, F4, 43) (dual of [1051, 883, 44]-code) [i]✔
11Linear OA(4148, 1051, F4, 38) (dual of [1051, 903, 39]-code) [i]✔
12Linear OA(4178, 1058, F4, 45) (dual of [1058, 880, 46]-code) [i]✔
13Linear OA(4179, 1062, F4, 45) (dual of [1062, 883, 46]-code) [i]✔
14Linear OA(4176, 1059, F4, 44) (dual of [1059, 883, 45]-code) [i]✔
15Linear OA(4153, 1058, F4, 38) (dual of [1058, 905, 39]-code) [i]✔
16Linear OA(4154, 1062, F4, 38) (dual of [1062, 908, 39]-code) [i]✔
17Linear OA(4186, 1067, F4, 46) (dual of [1067, 881, 47]-code) [i]✔
18Linear OA(4187, 1070, F4, 46) (dual of [1070, 883, 47]-code) [i]✔
19Linear OA(4156, 1067, F4, 38) (dual of [1067, 911, 39]-code) [i]✔
20Linear OA(4157, 1070, F4, 38) (dual of [1070, 913, 39]-code) [i]✔
21Linear OA(4194, 1077, F4, 47) (dual of [1077, 883, 48]-code) [i]✔
22Linear OA(4159, 1077, F4, 38) (dual of [1077, 918, 39]-code) [i]✔
23Linear OA(4203, 1086, F4, 49) (dual of [1086, 883, 50]-code) [i]✔
24Linear OA(4200, 1083, F4, 48) (dual of [1083, 883, 49]-code) [i]✔
25Linear OA(4163, 1086, F4, 38) (dual of [1086, 923, 39]-code) [i]✔
26Linear OA(4214, 1097, F4, 50) (dual of [1097, 883, 51]-code) [i]✔
27Linear OA(4221, 1100, F4, 51) (dual of [1100, 879, 52]-code) [i]✔
28Linear OA(4211, 1093, F4, 50) (dual of [1093, 882, 51]-code) [i]✔
29Linear OA(4212, 1095, F4, 50) (dual of [1095, 883, 51]-code) [i]✔
30Linear OA(4166, 1093, F4, 38) (dual of [1093, 927, 39]-code) [i]✔
31Linear OA(4167, 1095, F4, 38) (dual of [1095, 928, 39]-code) [i]✔
32Linear OA(4175, 1055, F4, 44) (dual of [1055, 880, 45]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(4177, 1056, F4, 45) (dual of [1056, 879, 46]-code) [i]✔
34Linear OA(4174, 1053, F4, 44) (dual of [1053, 879, 45]-code) [i]✔
35Linear OA(4167, 1046, F4, 43) (dual of [1046, 879, 44]-code) [i]✔
36Linear OA(4170, 1055, F4, 43) (dual of [1055, 885, 44]-code) [i]✔
37Linear OA(4169, 1053, F4, 43) (dual of [1053, 884, 44]-code) [i]✔
38Linear OA(4162, 1046, F4, 42) (dual of [1046, 884, 43]-code) [i]✔
39Linear OA(4153, 1032, F4, 41) (dual of [1032, 879, 42]-code) [i]✔
40Linear OA(4153, 1037, F4, 40) (dual of [1037, 884, 41]-code) [i]✔
41Linear OA(4143, 1032, F4, 38) (dual of [1032, 889, 39]-code) [i]✔
42Linear OA(4147, 1046, F4, 38) (dual of [1046, 899, 39]-code) [i]✔
43Linear OA(4153, 1060, F4, 38) (dual of [1060, 907, 39]-code) [i]✔
44Linear OA(4152, 1058, F4, 38) (dual of [1058, 906, 39]-code) [i]✔
45Linear OA(4151, 1056, F4, 38) (dual of [1056, 905, 39]-code) [i]✔
46Linear OA(4150, 1054, F4, 38) (dual of [1054, 904, 39]-code) [i]✔