Information on Result #612987

Linear OA(4111, 1024, F4, 30) (dual of [1024, 913, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(4116, 1029, F4, 31) (dual of [1029, 913, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4111, 1029, F4, 30) (dual of [1029, 918, 31]-code) [i]✔
3Linear OA(4122, 1035, F4, 32) (dual of [1035, 913, 33]-code) [i]✔
4Linear OA(4124, 1037, F4, 33) (dual of [1037, 913, 34]-code) [i]✔
5Linear OA(4114, 1037, F4, 30) (dual of [1037, 923, 31]-code) [i]✔
6Linear OA(4130, 1041, F4, 34) (dual of [1041, 911, 35]-code) [i]✔
7Linear OA(4131, 1044, F4, 34) (dual of [1044, 913, 35]-code) [i]✔
8Linear OA(4115, 1041, F4, 30) (dual of [1041, 926, 31]-code) [i]✔
9Linear OA(4116, 1044, F4, 30) (dual of [1044, 928, 31]-code) [i]✔
10Linear OA(4138, 1051, F4, 35) (dual of [1051, 913, 36]-code) [i]✔
11Linear OA(4118, 1051, F4, 30) (dual of [1051, 933, 31]-code) [i]✔
12Linear OA(4148, 1058, F4, 37) (dual of [1058, 910, 38]-code) [i]✔
13Linear OA(4149, 1062, F4, 37) (dual of [1062, 913, 38]-code) [i]✔
14Linear OA(4146, 1059, F4, 36) (dual of [1059, 913, 37]-code) [i]✔
15Linear OA(4123, 1058, F4, 30) (dual of [1058, 935, 31]-code) [i]✔
16Linear OA(4124, 1062, F4, 30) (dual of [1062, 938, 31]-code) [i]✔
17Linear OA(4156, 1067, F4, 38) (dual of [1067, 911, 39]-code) [i]✔
18Linear OA(4157, 1070, F4, 38) (dual of [1070, 913, 39]-code) [i]✔
19Linear OA(4126, 1067, F4, 30) (dual of [1067, 941, 31]-code) [i]✔
20Linear OA(4127, 1070, F4, 30) (dual of [1070, 943, 31]-code) [i]✔
21Linear OA(4164, 1077, F4, 39) (dual of [1077, 913, 40]-code) [i]✔
22Linear OA(4129, 1077, F4, 30) (dual of [1077, 948, 31]-code) [i]✔
23Linear OA(4173, 1086, F4, 41) (dual of [1086, 913, 42]-code) [i]✔
24Linear OA(4170, 1083, F4, 40) (dual of [1083, 913, 41]-code) [i]✔
25Linear OA(4184, 1097, F4, 42) (dual of [1097, 913, 43]-code) [i]✔
26Linear OA(4181, 1093, F4, 42) (dual of [1093, 912, 43]-code) [i]✔
27Linear OA(4182, 1095, F4, 42) (dual of [1095, 913, 43]-code) [i]✔
28Linear OA(4145, 1055, F4, 36) (dual of [1055, 910, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(4147, 1056, F4, 37) (dual of [1056, 909, 38]-code) [i]✔
30Linear OA(4144, 1053, F4, 36) (dual of [1053, 909, 37]-code) [i]✔
31Linear OA(4137, 1046, F4, 35) (dual of [1046, 909, 36]-code) [i]✔
32Linear OA(4140, 1055, F4, 35) (dual of [1055, 915, 36]-code) [i]✔
33Linear OA(4139, 1053, F4, 35) (dual of [1053, 914, 36]-code) [i]✔
34Linear OA(4132, 1046, F4, 34) (dual of [1046, 914, 35]-code) [i]✔
35Linear OA(4123, 1032, F4, 33) (dual of [1032, 909, 34]-code) [i]✔
36Linear OA(4123, 1037, F4, 32) (dual of [1037, 914, 33]-code) [i]✔
37Linear OA(4113, 1032, F4, 30) (dual of [1032, 919, 31]-code) [i]✔
38Linear OA(4117, 1046, F4, 30) (dual of [1046, 929, 31]-code) [i]✔
39Linear OA(4123, 1060, F4, 30) (dual of [1060, 937, 31]-code) [i]✔
40Linear OA(4122, 1058, F4, 30) (dual of [1058, 936, 31]-code) [i]✔
41Linear OA(4121, 1056, F4, 30) (dual of [1056, 935, 31]-code) [i]✔
42Linear OA(4120, 1054, F4, 30) (dual of [1054, 934, 31]-code) [i]✔