Information on Result #613062
Linear OA(4126, 1024, F4, 34) (dual of [1024, 898, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4131, 1029, F4, 35) (dual of [1029, 898, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4126, 1029, F4, 34) (dual of [1029, 903, 35]-code) | [i] | ✔ | |
| 3 | Linear OA(4137, 1035, F4, 36) (dual of [1035, 898, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(4139, 1037, F4, 37) (dual of [1037, 898, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(4129, 1037, F4, 34) (dual of [1037, 908, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(4145, 1041, F4, 38) (dual of [1041, 896, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(4146, 1044, F4, 38) (dual of [1044, 898, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(4130, 1041, F4, 34) (dual of [1041, 911, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4131, 1044, F4, 34) (dual of [1044, 913, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(4153, 1051, F4, 39) (dual of [1051, 898, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(4133, 1051, F4, 34) (dual of [1051, 918, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(4163, 1058, F4, 41) (dual of [1058, 895, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(4164, 1062, F4, 41) (dual of [1062, 898, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(4161, 1059, F4, 40) (dual of [1059, 898, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(4138, 1058, F4, 34) (dual of [1058, 920, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(4139, 1062, F4, 34) (dual of [1062, 923, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(4171, 1067, F4, 42) (dual of [1067, 896, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(4172, 1070, F4, 42) (dual of [1070, 898, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(4141, 1067, F4, 34) (dual of [1067, 926, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(4142, 1070, F4, 34) (dual of [1070, 928, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(4179, 1077, F4, 43) (dual of [1077, 898, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(4144, 1077, F4, 34) (dual of [1077, 933, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(4188, 1086, F4, 45) (dual of [1086, 898, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(4185, 1083, F4, 44) (dual of [1083, 898, 45]-code) | [i] | ✔ | |
| 25 | Linear OA(4148, 1086, F4, 34) (dual of [1086, 938, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(4196, 1093, F4, 46) (dual of [1093, 897, 47]-code) | [i] | ✔ | |
| 27 | Linear OA(4197, 1095, F4, 46) (dual of [1095, 898, 47]-code) | [i] | ✔ | |
| 28 | Linear OA(4160, 1055, F4, 40) (dual of [1055, 895, 41]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 29 | Linear OA(4152, 1046, F4, 39) (dual of [1046, 894, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(4155, 1055, F4, 39) (dual of [1055, 900, 40]-code) | [i] | ✔ | |
| 31 | Linear OA(4154, 1053, F4, 39) (dual of [1053, 899, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(4147, 1046, F4, 38) (dual of [1046, 899, 39]-code) | [i] | ✔ | |
| 33 | Linear OA(4138, 1032, F4, 37) (dual of [1032, 894, 38]-code) | [i] | ✔ | |
| 34 | Linear OA(4138, 1037, F4, 36) (dual of [1037, 899, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(4128, 1032, F4, 34) (dual of [1032, 904, 35]-code) | [i] | ✔ | |
| 36 | Linear OA(4132, 1046, F4, 34) (dual of [1046, 914, 35]-code) | [i] | ✔ | |
| 37 | Linear OA(4138, 1060, F4, 34) (dual of [1060, 922, 35]-code) | [i] | ✔ | |
| 38 | Linear OA(4137, 1058, F4, 34) (dual of [1058, 921, 35]-code) | [i] | ✔ | |
| 39 | Linear OA(4136, 1056, F4, 34) (dual of [1056, 920, 35]-code) | [i] | ✔ | |
| 40 | Linear OA(4135, 1054, F4, 34) (dual of [1054, 919, 35]-code) | [i] | ✔ | |