Information on Result #680465
Linear OA(4131, 1024, F4, 35) (dual of [1024, 893, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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(4137, 1030, F4, 37) (dual of [1030, 893, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4131, 1029, F4, 35) (dual of [1029, 898, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(4144, 1037, F4, 38) (dual of [1037, 893, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(4150, 1041, F4, 39) (dual of [1041, 891, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(4151, 1044, F4, 39) (dual of [1044, 893, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(4135, 1041, F4, 35) (dual of [1041, 906, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(4136, 1044, F4, 35) (dual of [1044, 908, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(4138, 1051, F4, 35) (dual of [1051, 913, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(4168, 1058, F4, 42) (dual of [1058, 890, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(4169, 1062, F4, 42) (dual of [1062, 893, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(4141, 1059, F4, 35) (dual of [1059, 918, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(4185, 1078, F4, 45) (dual of [1078, 893, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(4149, 1077, F4, 35) (dual of [1077, 928, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(4193, 1086, F4, 46) (dual of [1086, 893, 47]-code) | [i] | ✔ | |
| 15 | Linear OA(4204, 1097, F4, 47) (dual of [1097, 893, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(4201, 1093, F4, 47) (dual of [1093, 892, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(4202, 1095, F4, 47) (dual of [1095, 893, 48]-code) | [i] | ✔ | |
| 18 | Linear OA(4156, 1093, F4, 35) (dual of [1093, 937, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(4168, 1060, F4, 42) (dual of [1060, 892, 43]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(4167, 1058, F4, 42) (dual of [1058, 891, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(4166, 1056, F4, 42) (dual of [1056, 890, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(4165, 1054, F4, 42) (dual of [1054, 889, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(4160, 1051, F4, 41) (dual of [1051, 891, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(4159, 1049, F4, 41) (dual of [1049, 890, 42]-code) | [i] | ✔ | |
| 25 | Linear OA(4157, 1047, F4, 40) (dual of [1047, 890, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(4158, 1047, F4, 41) (dual of [1047, 889, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(4156, 1045, F4, 40) (dual of [1045, 889, 41]-code) | [i] | ✔ | |
| 28 | Linear OA(4160, 1055, F4, 40) (dual of [1055, 895, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(4149, 1038, F4, 39) (dual of [1038, 889, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(4152, 1046, F4, 39) (dual of [1046, 894, 40]-code) | [i] | ✔ | |
| 31 | Linear OA(4143, 1032, F4, 38) (dual of [1032, 889, 39]-code) | [i] | ✔ | |
| 32 | Linear OA(4138, 1032, F4, 37) (dual of [1032, 894, 38]-code) | [i] | ✔ | |
| 33 | Linear OA(4137, 1046, F4, 35) (dual of [1046, 909, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(4140, 1055, F4, 35) (dual of [1055, 915, 36]-code) | [i] | ✔ | |
| 35 | Linear OA(4139, 1053, F4, 35) (dual of [1053, 914, 36]-code) | [i] | ✔ | |