Information on Result #613000

Linear OA(4116, 1024, F4, 31) (dual of [1024, 908, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(4122, 1030, F4, 33) (dual of [1030, 908, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4116, 1029, F4, 31) (dual of [1029, 913, 32]-code) [i]✔
3Linear OA(4129, 1037, F4, 34) (dual of [1037, 908, 35]-code) [i]✔
4Linear OA(4117, 1035, F4, 31) (dual of [1035, 918, 32]-code) [i]✔
5Linear OA(4135, 1041, F4, 35) (dual of [1041, 906, 36]-code) [i]✔
6Linear OA(4136, 1044, F4, 35) (dual of [1044, 908, 36]-code) [i]✔
7Linear OA(4120, 1041, F4, 31) (dual of [1041, 921, 32]-code) [i]✔
8Linear OA(4121, 1044, F4, 31) (dual of [1044, 923, 32]-code) [i]✔
9Linear OA(4146, 1054, F4, 37) (dual of [1054, 908, 38]-code) [i]✔
10Linear OA(4143, 1051, F4, 36) (dual of [1051, 908, 37]-code) [i]✔
11Linear OA(4123, 1051, F4, 31) (dual of [1051, 928, 32]-code) [i]✔
12Linear OA(4153, 1058, F4, 38) (dual of [1058, 905, 39]-code) [i]✔
13Linear OA(4154, 1062, F4, 38) (dual of [1062, 908, 39]-code) [i]✔
14Linear OA(4126, 1059, F4, 31) (dual of [1059, 933, 32]-code) [i]✔
15Linear OA(4161, 1067, F4, 39) (dual of [1067, 906, 40]-code) [i]✔
16Linear OA(4162, 1070, F4, 39) (dual of [1070, 908, 40]-code) [i]✔
17Linear OA(4131, 1067, F4, 31) (dual of [1067, 936, 32]-code) [i]✔
18Linear OA(4132, 1070, F4, 31) (dual of [1070, 938, 32]-code) [i]✔
19Linear OA(4170, 1078, F4, 41) (dual of [1078, 908, 42]-code) [i]✔
20Linear OA(4134, 1077, F4, 31) (dual of [1077, 943, 32]-code) [i]✔
21Linear OA(4178, 1086, F4, 42) (dual of [1086, 908, 43]-code) [i]✔
22Linear OA(4135, 1083, F4, 31) (dual of [1083, 948, 32]-code) [i]✔
23Linear OA(4186, 1093, F4, 43) (dual of [1093, 907, 44]-code) [i]✔
24Linear OA(4153, 1060, F4, 38) (dual of [1060, 907, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(4152, 1058, F4, 38) (dual of [1058, 906, 39]-code) [i]✔
26Linear OA(4151, 1056, F4, 38) (dual of [1056, 905, 39]-code) [i]✔
27Linear OA(4150, 1054, F4, 38) (dual of [1054, 904, 39]-code) [i]✔
28Linear OA(4145, 1051, F4, 37) (dual of [1051, 906, 38]-code) [i]✔
29Linear OA(4144, 1049, F4, 37) (dual of [1049, 905, 38]-code) [i]✔
30Linear OA(4142, 1047, F4, 36) (dual of [1047, 905, 37]-code) [i]✔
31Linear OA(4143, 1047, F4, 37) (dual of [1047, 904, 38]-code) [i]✔
32Linear OA(4141, 1045, F4, 36) (dual of [1045, 904, 37]-code) [i]✔
33Linear OA(4145, 1055, F4, 36) (dual of [1055, 910, 37]-code) [i]✔
34Linear OA(4147, 1056, F4, 37) (dual of [1056, 909, 38]-code) [i]✔
35Linear OA(4144, 1053, F4, 36) (dual of [1053, 909, 37]-code) [i]✔
36Linear OA(4137, 1046, F4, 35) (dual of [1046, 909, 36]-code) [i]✔
37Linear OA(4128, 1032, F4, 34) (dual of [1032, 904, 35]-code) [i]✔
38Linear OA(4123, 1032, F4, 33) (dual of [1032, 909, 34]-code) [i]✔
39Linear OA(4119, 1038, F4, 31) (dual of [1038, 919, 32]-code) [i]✔
40Linear OA(4122, 1046, F4, 31) (dual of [1046, 924, 32]-code) [i]✔
41Linear OA(4125, 1055, F4, 31) (dual of [1055, 930, 32]-code) [i]✔
42Linear OA(4124, 1053, F4, 31) (dual of [1053, 929, 32]-code) [i]✔