Information on Result #613243
Linear OA(4181, 1025, F4, 49) (dual of [1025, 844, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (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(4180, 1024, F4, 48) (dual of [1024, 844, 49]-code) | [i] | Truncation | |
| 2 | Linear OA(4205, 1050, F4, 49) (dual of [1050, 845, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(4192, 1036, F4, 51) (dual of [1036, 844, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(4182, 1036, F4, 47) (dual of [1036, 854, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(4184, 1031, F4, 49) (dual of [1031, 847, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(4185, 1039, F4, 49) (dual of [1039, 854, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(4205, 1042, F4, 53) (dual of [1042, 837, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(4206, 1050, F4, 53) (dual of [1050, 844, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(4204, 1046, F4, 52) (dual of [1046, 842, 53]-code) | [i] | ✔ | |
| 10 | Linear OA(4190, 1049, F4, 49) (dual of [1049, 859, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(4191, 1055, F4, 49) (dual of [1055, 864, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(4187, 1046, F4, 48) (dual of [1046, 859, 49]-code) | [i] | ✔ | |
| 13 | Linear OA(4188, 1052, F4, 48) (dual of [1052, 864, 49]-code) | [i] | ✔ | |
| 14 | Linear OA(4185, 1042, F4, 47) (dual of [1042, 857, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(4186, 1050, F4, 47) (dual of [1050, 864, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(4184, 1046, F4, 46) (dual of [1046, 862, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(4224, 1059, F4, 57) (dual of [1059, 835, 58]-code) | [i] | ✔ | |
| 18 | Linear OA(4225, 1062, F4, 57) (dual of [1062, 837, 58]-code) | [i] | ✔ | |
| 19 | Linear OA(4226, 1068, F4, 57) (dual of [1068, 842, 58]-code) | [i] | ✔ | |
| 20 | Linear OA(4227, 1071, F4, 57) (dual of [1071, 844, 58]-code) | [i] | ✔ | |
| 21 | Linear OA(4223, 1059, F4, 56) (dual of [1059, 836, 57]-code) | [i] | ✔ | |
| 22 | Linear OA(4224, 1068, F4, 56) (dual of [1068, 844, 57]-code) | [i] | ✔ | |
| 23 | Linear OA(4221, 1065, F4, 55) (dual of [1065, 844, 56]-code) | [i] | ✔ | |
| 24 | Linear OA(4218, 1062, F4, 54) (dual of [1062, 844, 55]-code) | [i] | ✔ | |
| 25 | Linear OA(4194, 1059, F4, 49) (dual of [1059, 865, 50]-code) | [i] | ✔ | |
| 26 | Linear OA(4195, 1062, F4, 49) (dual of [1062, 867, 50]-code) | [i] | ✔ | |
| 27 | Linear OA(4196, 1068, F4, 49) (dual of [1068, 872, 50]-code) | [i] | ✔ | |
| 28 | Linear OA(4197, 1071, F4, 49) (dual of [1071, 874, 50]-code) | [i] | ✔ | |
| 29 | Linear OA(4193, 1059, F4, 48) (dual of [1059, 866, 49]-code) | [i] | ✔ | |
| 30 | Linear OA(4194, 1068, F4, 48) (dual of [1068, 874, 49]-code) | [i] | ✔ | |
| 31 | Linear OA(4191, 1065, F4, 47) (dual of [1065, 874, 48]-code) | [i] | ✔ | |
| 32 | Linear OA(4188, 1062, F4, 46) (dual of [1062, 874, 47]-code) | [i] | ✔ | |
| 33 | Linear OA(4240, 1084, F4, 59) (dual of [1084, 844, 60]-code) | [i] | ✔ | |
| 34 | Linear OA(4206, 1090, F4, 49) (dual of [1090, 884, 50]-code) | [i] | ✔ | |
| 35 | Linear OA(4203, 1087, F4, 48) (dual of [1087, 884, 49]-code) | [i] | ✔ | |
| 36 | Linear OA(4200, 1084, F4, 47) (dual of [1084, 884, 48]-code) | [i] | ✔ | |
| 37 | Linear OA(4259, 1101, F4, 61) (dual of [1101, 842, 62]-code) | [i] | ✔ | |
| 38 | Linear OA(4260, 1104, F4, 61) (dual of [1104, 844, 62]-code) | [i] | ✔ | |
| 39 | Linear OA(4253, 1089, F4, 60) (dual of [1089, 836, 61]-code) | [i] | ✔ | |
| 40 | Linear OA(4257, 1101, F4, 60) (dual of [1101, 844, 61]-code) | [i] | ✔ | |
| 41 | Linear OA(4255, 1099, F4, 60) (dual of [1099, 844, 61]-code) | [i] | ✔ | |
| 42 | Linear OA(4223, 1061, F4, 56) (dual of [1061, 838, 57]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 43 | Linear OA(4222, 1059, F4, 56) (dual of [1059, 837, 57]-code) | [i] | ✔ | |
| 44 | Linear OA(4220, 1057, F4, 55) (dual of [1057, 837, 56]-code) | [i] | ✔ | |
| 45 | Linear OA(4215, 1064, F4, 53) (dual of [1064, 849, 54]-code) | [i] | ✔ | |
| 46 | Linear OA(4214, 1062, F4, 53) (dual of [1062, 848, 54]-code) | [i] | ✔ | |
| 47 | Linear OA(4212, 1059, F4, 53) (dual of [1059, 847, 54]-code) | [i] | ✔ | |
| 48 | Linear OA(4198, 1045, F4, 51) (dual of [1045, 847, 52]-code) | [i] | ✔ | |
| 49 | Linear OA(4189, 1046, F4, 49) (dual of [1046, 857, 50]-code) | [i] | ✔ | |
| 50 | Linear OA(4193, 1061, F4, 48) (dual of [1061, 868, 49]-code) | [i] | ✔ | |
| 51 | Linear OA(4192, 1059, F4, 48) (dual of [1059, 867, 49]-code) | [i] | ✔ | |
| 52 | Linear OA(4190, 1057, F4, 47) (dual of [1057, 867, 48]-code) | [i] | ✔ | |