Information on Result #613216

Linear OA(4171, 1024, F4, 46) (dual of [1024, 853, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46

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(4176, 1029, F4, 47) (dual of [1029, 853, 48]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4171, 1029, F4, 46) (dual of [1029, 858, 47]-code) [i]✔
3Linear OA(4182, 1035, F4, 48) (dual of [1035, 853, 49]-code) [i]✔
4Linear OA(4184, 1037, F4, 49) (dual of [1037, 853, 50]-code) [i]✔
5Linear OA(4174, 1037, F4, 46) (dual of [1037, 863, 47]-code) [i]✔
6Linear OA(4190, 1041, F4, 50) (dual of [1041, 851, 51]-code) [i]✔
7Linear OA(4191, 1044, F4, 50) (dual of [1044, 853, 51]-code) [i]✔
8Linear OA(4175, 1041, F4, 46) (dual of [1041, 866, 47]-code) [i]✔
9Linear OA(4176, 1044, F4, 46) (dual of [1044, 868, 47]-code) [i]✔
10Linear OA(4198, 1051, F4, 51) (dual of [1051, 853, 52]-code) [i]✔
11Linear OA(4178, 1051, F4, 46) (dual of [1051, 873, 47]-code) [i]✔
12Linear OA(4208, 1058, F4, 53) (dual of [1058, 850, 54]-code) [i]✔
13Linear OA(4209, 1062, F4, 53) (dual of [1062, 853, 54]-code) [i]✔
14Linear OA(4206, 1059, F4, 52) (dual of [1059, 853, 53]-code) [i]✔
15Linear OA(4183, 1058, F4, 46) (dual of [1058, 875, 47]-code) [i]✔
16Linear OA(4184, 1062, F4, 46) (dual of [1062, 878, 47]-code) [i]✔
17Linear OA(4216, 1067, F4, 54) (dual of [1067, 851, 55]-code) [i]✔
18Linear OA(4217, 1070, F4, 54) (dual of [1070, 853, 55]-code) [i]✔
19Linear OA(4186, 1067, F4, 46) (dual of [1067, 881, 47]-code) [i]✔
20Linear OA(4187, 1070, F4, 46) (dual of [1070, 883, 47]-code) [i]✔
21Linear OA(4224, 1077, F4, 55) (dual of [1077, 853, 56]-code) [i]✔
22Linear OA(4189, 1077, F4, 46) (dual of [1077, 888, 47]-code) [i]✔
23Linear OA(4233, 1086, F4, 57) (dual of [1086, 853, 58]-code) [i]✔
24Linear OA(4230, 1083, F4, 56) (dual of [1083, 853, 57]-code) [i]✔
25Linear OA(4193, 1086, F4, 46) (dual of [1086, 893, 47]-code) [i]✔
26Linear OA(4244, 1097, F4, 58) (dual of [1097, 853, 59]-code) [i]✔
27Linear OA(4251, 1100, F4, 59) (dual of [1100, 849, 60]-code) [i]✔
28Linear OA(4253, 1106, F4, 59) (dual of [1106, 853, 60]-code) [i]✔
29Linear OA(4259, 1110, F4, 60) (dual of [1110, 851, 61]-code) [i]✔
30Linear OA(4260, 1113, F4, 60) (dual of [1113, 853, 61]-code) [i]✔
31Linear OA(4241, 1093, F4, 58) (dual of [1093, 852, 59]-code) [i]✔
32Linear OA(4242, 1095, F4, 58) (dual of [1095, 853, 59]-code) [i]✔
33Linear OA(4196, 1093, F4, 46) (dual of [1093, 897, 47]-code) [i]✔
34Linear OA(4197, 1095, F4, 46) (dual of [1095, 898, 47]-code) [i]✔
35Linear OA(4205, 1055, F4, 52) (dual of [1055, 850, 53]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
36Linear OA(4207, 1056, F4, 53) (dual of [1056, 849, 54]-code) [i]✔
37Linear OA(4204, 1053, F4, 52) (dual of [1053, 849, 53]-code) [i]✔
38Linear OA(4197, 1046, F4, 51) (dual of [1046, 849, 52]-code) [i]✔
39Linear OA(4200, 1055, F4, 51) (dual of [1055, 855, 52]-code) [i]✔
40Linear OA(4199, 1053, F4, 51) (dual of [1053, 854, 52]-code) [i]✔
41Linear OA(4192, 1046, F4, 50) (dual of [1046, 854, 51]-code) [i]✔
42Linear OA(4183, 1032, F4, 49) (dual of [1032, 849, 50]-code) [i]✔
43Linear OA(4183, 1037, F4, 48) (dual of [1037, 854, 49]-code) [i]✔
44Linear OA(4173, 1032, F4, 46) (dual of [1032, 859, 47]-code) [i]✔
45Linear OA(4177, 1046, F4, 46) (dual of [1046, 869, 47]-code) [i]✔
46Linear OA(4183, 1060, F4, 46) (dual of [1060, 877, 47]-code) [i]✔
47Linear OA(4182, 1058, F4, 46) (dual of [1058, 876, 47]-code) [i]✔
48Linear OA(4181, 1056, F4, 46) (dual of [1056, 875, 47]-code) [i]✔
49Linear OA(4180, 1054, F4, 46) (dual of [1054, 874, 47]-code) [i]✔