Information on Result #707354

Linear OA(4151, 1023, F4, 41) (dual of [1023, 872, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4176, 1092, F4, 41) (dual of [1092, 916, 42]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(4177, 1094, F4, 41) (dual of [1094, 917, 42]-code) [i]✔
3Linear OA(4221, 1092, F4, 53) (dual of [1092, 871, 54]-code) [i]✔
4Linear OA(4222, 1094, F4, 53) (dual of [1094, 872, 54]-code) [i]✔
5Linear OA(4196, 1087, F4, 47) (dual of [1087, 891, 48]-code) [i]✔Construction XX with Cyclic Codes
6Linear OA(4176, 1063, F4, 45) (dual of [1063, 887, 46]-code) [i]✔
7Linear OA(4175, 1060, F4, 45) (dual of [1060, 885, 46]-code) [i]✔
8Linear OA(4173, 1058, F4, 44) (dual of [1058, 885, 45]-code) [i]✔
9Linear OA(4163, 1040, F4, 43) (dual of [1040, 877, 44]-code) [i]✔
10Linear OA(4183, 1070, F4, 46) (dual of [1070, 887, 47]-code) [i]✔
11Linear OA(4182, 1064, F4, 46) (dual of [1064, 882, 47]-code) [i]✔
12Linear OA(4174, 1056, F4, 45) (dual of [1056, 882, 46]-code) [i]✔
13Linear OA(4173, 1053, F4, 45) (dual of [1053, 880, 46]-code) [i]✔
14Linear OA(4191, 1077, F4, 47) (dual of [1077, 886, 48]-code) [i]✔
15Linear OA(4181, 1063, F4, 46) (dual of [1063, 882, 47]-code) [i]✔
16Linear OA(4180, 1057, F4, 46) (dual of [1057, 877, 47]-code) [i]✔
17Linear OA(4172, 1049, F4, 45) (dual of [1049, 877, 46]-code) [i]✔
18Linear OA(4170, 1047, F4, 44) (dual of [1047, 877, 45]-code) [i]✔
19Linear OA(4171, 1046, F4, 45) (dual of [1046, 875, 46]-code) [i]✔
20Linear OA(4189, 1070, F4, 47) (dual of [1070, 881, 48]-code) [i]✔
21Linear OA(4179, 1056, F4, 46) (dual of [1056, 877, 47]-code) [i]✔
22Linear OA(4199, 1079, F4, 48) (dual of [1079, 880, 49]-code) [i]✔
23Linear OA(4187, 1063, F4, 47) (dual of [1063, 876, 48]-code) [i]✔
24Linear OA(4197, 1072, F4, 48) (dual of [1072, 875, 49]-code) [i]✔
25Linear OA(4161, 1033, F4, 43) (dual of [1033, 872, 44]-code) [i]✔
26Linear OA(4167, 1039, F4, 44) (dual of [1039, 872, 45]-code) [i]✔
27Linear OA(4176, 1048, F4, 46) (dual of [1048, 872, 47]-code) [i]✔
28Linear OA(4175, 1045, F4, 46) (dual of [1045, 870, 47]-code) [i]✔
29Linear OA(4183, 1055, F4, 47) (dual of [1055, 872, 48]-code) [i]✔
30Linear OA(4182, 1049, F4, 47) (dual of [1049, 867, 48]-code) [i]✔
31Linear OA(4191, 1062, F4, 48) (dual of [1062, 871, 49]-code) [i]✔
32Linear OA(4182, 1054, F4, 47) (dual of [1054, 872, 48]-code) [i]✔
33Linear OA(4181, 1051, F4, 47) (dual of [1051, 870, 48]-code) [i]✔
34Linear OA(4189, 1061, F4, 48) (dual of [1061, 872, 49]-code) [i]✔
35Linear OA(4188, 1055, F4, 48) (dual of [1055, 867, 49]-code) [i]✔
36Linear OA(4191, 1063, F4, 49) (dual of [1063, 872, 50]-code) [i]✔
37Linear OA(4190, 1060, F4, 49) (dual of [1060, 870, 50]-code) [i]✔
38Linear OA(4188, 1058, F4, 48) (dual of [1058, 870, 49]-code) [i]✔
39Linear OA(4198, 1070, F4, 50) (dual of [1070, 872, 51]-code) [i]✔
40Linear OA(4197, 1064, F4, 50) (dual of [1064, 867, 51]-code) [i]✔
41Linear OA(4206, 1077, F4, 51) (dual of [1077, 871, 52]-code) [i]✔
42Linear OA(4214, 1079, F4, 52) (dual of [1079, 865, 53]-code) [i]✔
43Linear OA(4205, 1077, F4, 51) (dual of [1077, 872, 52]-code) [i]✔
44Linear OA(4204, 1071, F4, 51) (dual of [1071, 867, 52]-code) [i]✔
45Linear OA(4213, 1084, F4, 52) (dual of [1084, 871, 53]-code) [i]✔
46Linear OOA(4151, 341, F4, 3, 41) (dual of [(341, 3), 872, 42]-NRT-code) [i]OOA Folding