Information on Result #613035
Linear OA(4121, 1025, F4, 33) (dual of [1025, 904, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound)
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(4120, 1024, F4, 32) (dual of [1024, 904, 33]-code) | [i] | Truncation | |
| 2 | Linear OA(4125, 1043, F4, 33) (dual of [1043, 918, 34]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(4126, 1058, F4, 33) (dual of [1058, 932, 34]-code) | [i] | ||
| 4 | Linear OA(4127, 1082, F4, 33) (dual of [1082, 955, 34]-code) | [i] | ||
| 5 | Linear OA(4128, 1117, F4, 33) (dual of [1117, 989, 34]-code) | [i] | ||
| 6 | Linear OA(4129, 1159, F4, 33) (dual of [1159, 1030, 34]-code) | [i] | ||
| 7 | Linear OA(4130, 1207, F4, 33) (dual of [1207, 1077, 34]-code) | [i] | ||
| 8 | Linear OA(4136, 1041, F4, 33) (dual of [1041, 905, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(4132, 1036, F4, 35) (dual of [1036, 904, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(4122, 1036, F4, 31) (dual of [1036, 914, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(4124, 1031, F4, 33) (dual of [1031, 907, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(4125, 1039, F4, 33) (dual of [1039, 914, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(4145, 1042, F4, 37) (dual of [1042, 897, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(4146, 1050, F4, 37) (dual of [1050, 904, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4144, 1046, F4, 36) (dual of [1046, 902, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(4130, 1049, F4, 33) (dual of [1049, 919, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(4131, 1055, F4, 33) (dual of [1055, 924, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(4127, 1046, F4, 32) (dual of [1046, 919, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(4128, 1052, F4, 32) (dual of [1052, 924, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(4125, 1042, F4, 31) (dual of [1042, 917, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(4126, 1050, F4, 31) (dual of [1050, 924, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4124, 1046, F4, 30) (dual of [1046, 922, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(4164, 1059, F4, 41) (dual of [1059, 895, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(4165, 1062, F4, 41) (dual of [1062, 897, 42]-code) | [i] | ✔ | |
| 25 | Linear OA(4166, 1068, F4, 41) (dual of [1068, 902, 42]-code) | [i] | ✔ | |
| 26 | Linear OA(4167, 1071, F4, 41) (dual of [1071, 904, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(4163, 1059, F4, 40) (dual of [1059, 896, 41]-code) | [i] | ✔ | |
| 28 | Linear OA(4164, 1068, F4, 40) (dual of [1068, 904, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(4161, 1065, F4, 39) (dual of [1065, 904, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(4158, 1062, F4, 38) (dual of [1062, 904, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(4134, 1059, F4, 33) (dual of [1059, 925, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(4135, 1062, F4, 33) (dual of [1062, 927, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(4136, 1068, F4, 33) (dual of [1068, 932, 34]-code) | [i] | ✔ | |
| 34 | Linear OA(4137, 1071, F4, 33) (dual of [1071, 934, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(4133, 1059, F4, 32) (dual of [1059, 926, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(4134, 1068, F4, 32) (dual of [1068, 934, 33]-code) | [i] | ✔ | |
| 37 | Linear OA(4131, 1065, F4, 31) (dual of [1065, 934, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(4128, 1062, F4, 30) (dual of [1062, 934, 31]-code) | [i] | ✔ | |
| 39 | Linear OA(4180, 1084, F4, 43) (dual of [1084, 904, 44]-code) | [i] | ✔ | |
| 40 | Linear OA(4143, 1087, F4, 32) (dual of [1087, 944, 33]-code) | [i] | ✔ | |
| 41 | Linear OA(4163, 1061, F4, 40) (dual of [1061, 898, 41]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 42 | Linear OA(4162, 1059, F4, 40) (dual of [1059, 897, 41]-code) | [i] | ✔ | |
| 43 | Linear OA(4160, 1057, F4, 39) (dual of [1057, 897, 40]-code) | [i] | ✔ | |
| 44 | Linear OA(4155, 1064, F4, 37) (dual of [1064, 909, 38]-code) | [i] | ✔ | |
| 45 | Linear OA(4154, 1062, F4, 37) (dual of [1062, 908, 38]-code) | [i] | ✔ | |
| 46 | Linear OA(4152, 1059, F4, 37) (dual of [1059, 907, 38]-code) | [i] | ✔ | |
| 47 | Linear OA(4138, 1045, F4, 35) (dual of [1045, 907, 36]-code) | [i] | ✔ | |
| 48 | Linear OA(4129, 1046, F4, 33) (dual of [1046, 917, 34]-code) | [i] | ✔ | |
| 49 | Linear OA(4133, 1061, F4, 32) (dual of [1061, 928, 33]-code) | [i] | ✔ | |
| 50 | Linear OA(4132, 1059, F4, 32) (dual of [1059, 927, 33]-code) | [i] | ✔ | |
| 51 | Linear OA(4130, 1057, F4, 31) (dual of [1057, 927, 32]-code) | [i] | ✔ | |