Information on Result #680452
Linear OA(4181, 1024, F4, 49) (dual of [1024, 843, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4186, 1029, F4, 50) (dual of [1029, 843, 51]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4182, 1030, F4, 49) (dual of [1030, 848, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(4182, 1035, F4, 48) (dual of [1035, 853, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(4184, 1037, F4, 49) (dual of [1037, 853, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(4200, 1041, F4, 53) (dual of [1041, 841, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(4201, 1044, F4, 53) (dual of [1044, 843, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(4199, 1042, F4, 52) (dual of [1042, 843, 53]-code) | [i] | ✔ | |
| 8 | Linear OA(4185, 1041, F4, 49) (dual of [1041, 856, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(4186, 1044, F4, 49) (dual of [1044, 858, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(4184, 1042, F4, 48) (dual of [1042, 858, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(4208, 1051, F4, 54) (dual of [1051, 843, 55]-code) | [i] | ✔ | |
| 12 | Linear OA(4216, 1059, F4, 55) (dual of [1059, 843, 56]-code) | [i] | ✔ | |
| 13 | Linear OA(4193, 1058, F4, 49) (dual of [1058, 865, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(4194, 1062, F4, 49) (dual of [1062, 868, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(4191, 1059, F4, 48) (dual of [1059, 868, 49]-code) | [i] | ✔ | |
| 16 | Linear OA(4234, 1077, F4, 58) (dual of [1077, 843, 59]-code) | [i] | ✔ | |
| 17 | Linear OA(4200, 1078, F4, 49) (dual of [1078, 878, 50]-code) | [i] | ✔ | |
| 18 | Linear OA(4203, 1086, F4, 49) (dual of [1086, 883, 50]-code) | [i] | ✔ | |
| 19 | Linear OA(4200, 1083, F4, 48) (dual of [1083, 883, 49]-code) | [i] | ✔ | |
| 20 | Linear OA(4254, 1097, F4, 61) (dual of [1097, 843, 62]-code) | [i] | ✔ | |
| 21 | Linear OA(4248, 1088, F4, 60) (dual of [1088, 840, 61]-code) | [i] | ✔ | |
| 22 | Linear OA(4252, 1095, F4, 60) (dual of [1095, 843, 61]-code) | [i] | ✔ | |
| 23 | Linear OA(4209, 1097, F4, 49) (dual of [1097, 888, 50]-code) | [i] | ✔ | |
| 24 | Linear OA(4203, 1088, F4, 48) (dual of [1088, 885, 49]-code) | [i] | ✔ | |
| 25 | Linear OA(4207, 1095, F4, 48) (dual of [1095, 888, 49]-code) | [i] | ✔ | |
| 26 | Linear OA(4251, 1093, F4, 61) (dual of [1093, 842, 62]-code) | [i] | ✔ | |
| 27 | Linear OA(4252, 1095, F4, 61) (dual of [1095, 843, 62]-code) | [i] | ✔ | |
| 28 | Linear OA(4248, 1091, F4, 60) (dual of [1091, 843, 61]-code) | [i] | ✔ | |
| 29 | Linear OA(4206, 1093, F4, 49) (dual of [1093, 887, 50]-code) | [i] | ✔ | |
| 30 | Linear OA(4207, 1095, F4, 49) (dual of [1095, 888, 50]-code) | [i] | ✔ | |
| 31 | Linear OA(4203, 1091, F4, 48) (dual of [1091, 888, 49]-code) | [i] | ✔ | |
| 32 | Linear OA(4215, 1055, F4, 55) (dual of [1055, 840, 56]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 33 | Linear OA(4214, 1053, F4, 55) (dual of [1053, 839, 56]-code) | [i] | ✔ | |
| 34 | Linear OA(4207, 1046, F4, 54) (dual of [1046, 839, 55]-code) | [i] | ✔ | |
| 35 | Linear OA(4213, 1060, F4, 54) (dual of [1060, 847, 55]-code) | [i] | ✔ | |
| 36 | Linear OA(4212, 1058, F4, 54) (dual of [1058, 846, 55]-code) | [i] | ✔ | |
| 37 | Linear OA(4211, 1056, F4, 54) (dual of [1056, 845, 55]-code) | [i] | ✔ | |
| 38 | Linear OA(4210, 1054, F4, 54) (dual of [1054, 844, 55]-code) | [i] | ✔ | |
| 39 | Linear OA(4198, 1037, F4, 52) (dual of [1037, 839, 53]-code) | [i] | ✔ | |
| 40 | Linear OA(4205, 1051, F4, 53) (dual of [1051, 846, 54]-code) | [i] | ✔ | |
| 41 | Linear OA(4204, 1049, F4, 53) (dual of [1049, 845, 54]-code) | [i] | ✔ | |
| 42 | Linear OA(4202, 1047, F4, 52) (dual of [1047, 845, 53]-code) | [i] | ✔ | |
| 43 | Linear OA(4203, 1047, F4, 53) (dual of [1047, 844, 54]-code) | [i] | ✔ | |
| 44 | Linear OA(4201, 1045, F4, 52) (dual of [1045, 844, 53]-code) | [i] | ✔ | |
| 45 | Linear OA(4188, 1032, F4, 50) (dual of [1032, 844, 51]-code) | [i] | ✔ | |
| 46 | Linear OA(4183, 1032, F4, 49) (dual of [1032, 849, 50]-code) | [i] | ✔ | |
| 47 | Linear OA(4183, 1037, F4, 48) (dual of [1037, 854, 49]-code) | [i] | ✔ | |
| 48 | Linear OA(4190, 1051, F4, 49) (dual of [1051, 861, 50]-code) | [i] | ✔ | |
| 49 | Linear OA(4189, 1049, F4, 49) (dual of [1049, 860, 50]-code) | [i] | ✔ | |
| 50 | Linear OA(4187, 1047, F4, 48) (dual of [1047, 860, 49]-code) | [i] | ✔ | |
| 51 | Linear OA(4188, 1047, F4, 49) (dual of [1047, 859, 50]-code) | [i] | ✔ | |
| 52 | Linear OA(4186, 1045, F4, 48) (dual of [1045, 859, 49]-code) | [i] | ✔ | |
| 53 | Linear OA(4190, 1055, F4, 48) (dual of [1055, 865, 49]-code) | [i] | ✔ | |
| 54 | Linear OOA(4181, 512, F4, 2, 49) (dual of [(512, 2), 843, 50]-NRT-code) | [i] | OOA Folding | |