Information on Result #680107
Linear OA(4141, 1025, F4, 37) (dual of [1025, 884, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(4152, 1036, F4, 39) (dual of [1036, 884, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4154, 1031, F4, 41) (dual of [1031, 877, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(4155, 1039, F4, 41) (dual of [1039, 884, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(4142, 1036, F4, 37) (dual of [1036, 894, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(4170, 1049, F4, 43) (dual of [1049, 879, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(4171, 1055, F4, 43) (dual of [1055, 884, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(4167, 1046, F4, 42) (dual of [1046, 879, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(4168, 1052, F4, 42) (dual of [1052, 884, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(4145, 1042, F4, 37) (dual of [1042, 897, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(4146, 1050, F4, 37) (dual of [1050, 904, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(4144, 1046, F4, 36) (dual of [1046, 902, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(4184, 1059, F4, 45) (dual of [1059, 875, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(4185, 1062, F4, 45) (dual of [1062, 877, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(4186, 1068, F4, 45) (dual of [1068, 882, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(4187, 1071, F4, 45) (dual of [1071, 884, 46]-code) | [i] | ✔ | |
| 16 | Linear OA(4183, 1059, F4, 44) (dual of [1059, 876, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(4184, 1068, F4, 44) (dual of [1068, 884, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(4154, 1059, F4, 37) (dual of [1059, 905, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(4155, 1062, F4, 37) (dual of [1062, 907, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(4156, 1068, F4, 37) (dual of [1068, 912, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4157, 1071, F4, 37) (dual of [1071, 914, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(4153, 1059, F4, 36) (dual of [1059, 906, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(4154, 1068, F4, 36) (dual of [1068, 914, 37]-code) | [i] | ✔ | |
| 24 | Linear OA(4206, 1090, F4, 49) (dual of [1090, 884, 50]-code) | [i] | ✔ | |
| 25 | Linear OA(4203, 1087, F4, 48) (dual of [1087, 884, 49]-code) | [i] | ✔ | |
| 26 | Linear OA(4200, 1084, F4, 47) (dual of [1084, 884, 48]-code) | [i] | ✔ | |
| 27 | Linear OA(4160, 1084, F4, 37) (dual of [1084, 924, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(4185, 1064, F4, 45) (dual of [1064, 879, 46]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 29 | Linear OA(4184, 1062, F4, 45) (dual of [1062, 878, 46]-code) | [i] | ✔ | |
| 30 | Linear OA(4182, 1059, F4, 45) (dual of [1059, 877, 46]-code) | [i] | ✔ | |
| 31 | Linear OA(4168, 1045, F4, 43) (dual of [1045, 877, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(4173, 1061, F4, 42) (dual of [1061, 888, 43]-code) | [i] | ✔ | |
| 33 | Linear OA(4172, 1059, F4, 42) (dual of [1059, 887, 43]-code) | [i] | ✔ | |
| 34 | Linear OA(4159, 1046, F4, 41) (dual of [1046, 887, 42]-code) | [i] | ✔ | |
| 35 | Linear OA(4155, 1064, F4, 37) (dual of [1064, 909, 38]-code) | [i] | ✔ | |
| 36 | Linear OA(4154, 1062, F4, 37) (dual of [1062, 908, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(4152, 1059, F4, 37) (dual of [1059, 907, 38]-code) | [i] | ✔ | |