Information on Result #680460
Linear OA(4151, 1024, F4, 41) (dual of [1024, 873, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(4156, 1029, F4, 42) (dual of [1029, 873, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4152, 1030, F4, 41) (dual of [1030, 878, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(4152, 1035, F4, 40) (dual of [1035, 883, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(4154, 1037, F4, 41) (dual of [1037, 883, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(4170, 1041, F4, 45) (dual of [1041, 871, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(4171, 1044, F4, 45) (dual of [1044, 873, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(4169, 1042, F4, 44) (dual of [1042, 873, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(4155, 1041, F4, 41) (dual of [1041, 886, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(4156, 1044, F4, 41) (dual of [1044, 888, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(4154, 1042, F4, 40) (dual of [1042, 888, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(4178, 1051, F4, 46) (dual of [1051, 873, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(4186, 1059, F4, 47) (dual of [1059, 873, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(4163, 1058, F4, 41) (dual of [1058, 895, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(4164, 1062, F4, 41) (dual of [1062, 898, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(4161, 1059, F4, 40) (dual of [1059, 898, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(4204, 1077, F4, 50) (dual of [1077, 873, 51]-code) | [i] | ✔ | |
| 17 | Linear OA(4170, 1078, F4, 41) (dual of [1078, 908, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(4173, 1086, F4, 41) (dual of [1086, 913, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(4170, 1083, F4, 40) (dual of [1083, 913, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(4224, 1097, F4, 53) (dual of [1097, 873, 54]-code) | [i] | ✔ | |
| 21 | Linear OA(4218, 1088, F4, 52) (dual of [1088, 870, 53]-code) | [i] | ✔ | |
| 22 | Linear OA(4222, 1095, F4, 52) (dual of [1095, 873, 53]-code) | [i] | ✔ | |
| 23 | Linear OA(4179, 1097, F4, 41) (dual of [1097, 918, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(4173, 1088, F4, 40) (dual of [1088, 915, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(4177, 1095, F4, 40) (dual of [1095, 918, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(4231, 1100, F4, 54) (dual of [1100, 869, 55]-code) | [i] | ✔ | |
| 27 | Linear OA(4233, 1106, F4, 54) (dual of [1106, 873, 55]-code) | [i] | ✔ | |
| 28 | Linear OA(4239, 1110, F4, 55) (dual of [1110, 871, 56]-code) | [i] | ✔ | |
| 29 | Linear OA(4240, 1113, F4, 55) (dual of [1113, 873, 56]-code) | [i] | ✔ | |
| 30 | Linear OA(4221, 1093, F4, 53) (dual of [1093, 872, 54]-code) | [i] | ✔ | |
| 31 | Linear OA(4222, 1095, F4, 53) (dual of [1095, 873, 54]-code) | [i] | ✔ | |
| 32 | Linear OA(4218, 1091, F4, 52) (dual of [1091, 873, 53]-code) | [i] | ✔ | |
| 33 | Linear OA(4176, 1093, F4, 41) (dual of [1093, 917, 42]-code) | [i] | ✔ | |
| 34 | Linear OA(4177, 1095, F4, 41) (dual of [1095, 918, 42]-code) | [i] | ✔ | |
| 35 | Linear OA(4173, 1091, F4, 40) (dual of [1091, 918, 41]-code) | [i] | ✔ | |
| 36 | Linear OA(4185, 1055, F4, 47) (dual of [1055, 870, 48]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 37 | Linear OA(4184, 1053, F4, 47) (dual of [1053, 869, 48]-code) | [i] | ✔ | |
| 38 | Linear OA(4177, 1046, F4, 46) (dual of [1046, 869, 47]-code) | [i] | ✔ | |
| 39 | Linear OA(4183, 1060, F4, 46) (dual of [1060, 877, 47]-code) | [i] | ✔ | |
| 40 | Linear OA(4182, 1058, F4, 46) (dual of [1058, 876, 47]-code) | [i] | ✔ | |
| 41 | Linear OA(4181, 1056, F4, 46) (dual of [1056, 875, 47]-code) | [i] | ✔ | |
| 42 | Linear OA(4180, 1054, F4, 46) (dual of [1054, 874, 47]-code) | [i] | ✔ | |
| 43 | Linear OA(4168, 1037, F4, 44) (dual of [1037, 869, 45]-code) | [i] | ✔ | |
| 44 | Linear OA(4175, 1051, F4, 45) (dual of [1051, 876, 46]-code) | [i] | ✔ | |
| 45 | Linear OA(4174, 1049, F4, 45) (dual of [1049, 875, 46]-code) | [i] | ✔ | |
| 46 | Linear OA(4172, 1047, F4, 44) (dual of [1047, 875, 45]-code) | [i] | ✔ | |
| 47 | Linear OA(4173, 1047, F4, 45) (dual of [1047, 874, 46]-code) | [i] | ✔ | |
| 48 | Linear OA(4171, 1045, F4, 44) (dual of [1045, 874, 45]-code) | [i] | ✔ | |
| 49 | Linear OA(4158, 1032, F4, 42) (dual of [1032, 874, 43]-code) | [i] | ✔ | |
| 50 | Linear OA(4153, 1032, F4, 41) (dual of [1032, 879, 42]-code) | [i] | ✔ | |
| 51 | Linear OA(4153, 1037, F4, 40) (dual of [1037, 884, 41]-code) | [i] | ✔ | |
| 52 | Linear OA(4160, 1051, F4, 41) (dual of [1051, 891, 42]-code) | [i] | ✔ | |
| 53 | Linear OA(4159, 1049, F4, 41) (dual of [1049, 890, 42]-code) | [i] | ✔ | |
| 54 | Linear OA(4157, 1047, F4, 40) (dual of [1047, 890, 41]-code) | [i] | ✔ | |
| 55 | Linear OA(4158, 1047, F4, 41) (dual of [1047, 889, 42]-code) | [i] | ✔ | |
| 56 | Linear OA(4156, 1045, F4, 40) (dual of [1045, 889, 41]-code) | [i] | ✔ | |
| 57 | Linear OA(4160, 1055, F4, 40) (dual of [1055, 895, 41]-code) | [i] | ✔ | |
| 58 | Linear OOA(4151, 512, F4, 2, 41) (dual of [(512, 2), 873, 42]-NRT-code) | [i] | OOA Folding | |