Information on Result #613076
Linear OA(4131, 1025, F4, 35) (dual of [1025, 894, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(4147, 1042, F4, 35) (dual of [1042, 895, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4142, 1036, F4, 37) (dual of [1036, 894, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(4132, 1036, F4, 35) (dual of [1036, 904, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(4160, 1049, F4, 41) (dual of [1049, 889, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(4161, 1055, F4, 41) (dual of [1055, 894, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(4157, 1046, F4, 40) (dual of [1046, 889, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(4158, 1052, F4, 40) (dual of [1052, 894, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(4155, 1042, F4, 39) (dual of [1042, 887, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(4156, 1050, F4, 39) (dual of [1050, 894, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(4154, 1046, F4, 38) (dual of [1046, 892, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(4140, 1049, F4, 35) (dual of [1049, 909, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(4141, 1055, F4, 35) (dual of [1055, 914, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(4137, 1046, F4, 34) (dual of [1046, 909, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(4138, 1052, F4, 34) (dual of [1052, 914, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(4174, 1059, F4, 43) (dual of [1059, 885, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(4175, 1062, F4, 43) (dual of [1062, 887, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(4176, 1068, F4, 43) (dual of [1068, 892, 44]-code) | [i] | ✔ | |
| 18 | Linear OA(4177, 1071, F4, 43) (dual of [1071, 894, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(4173, 1059, F4, 42) (dual of [1059, 886, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(4174, 1068, F4, 42) (dual of [1068, 894, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(4144, 1059, F4, 35) (dual of [1059, 915, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(4145, 1062, F4, 35) (dual of [1062, 917, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(4146, 1068, F4, 35) (dual of [1068, 922, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(4147, 1071, F4, 35) (dual of [1071, 924, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(4143, 1059, F4, 34) (dual of [1059, 916, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(4144, 1068, F4, 34) (dual of [1068, 924, 35]-code) | [i] | ✔ | |
| 27 | Linear OA(4190, 1084, F4, 45) (dual of [1084, 894, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(4150, 1084, F4, 35) (dual of [1084, 934, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(4173, 1061, F4, 42) (dual of [1061, 888, 43]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 30 | Linear OA(4172, 1059, F4, 42) (dual of [1059, 887, 43]-code) | [i] | ✔ | |
| 31 | Linear OA(4159, 1046, F4, 41) (dual of [1046, 887, 42]-code) | [i] | ✔ | |
| 32 | Linear OA(4163, 1061, F4, 40) (dual of [1061, 898, 41]-code) | [i] | ✔ | |
| 33 | Linear OA(4162, 1059, F4, 40) (dual of [1059, 897, 41]-code) | [i] | ✔ | |
| 34 | Linear OA(4160, 1057, F4, 39) (dual of [1057, 897, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(4138, 1045, F4, 35) (dual of [1045, 907, 36]-code) | [i] | ✔ | |
| 36 | Linear OA(4143, 1061, F4, 34) (dual of [1061, 918, 35]-code) | [i] | ✔ | |
| 37 | Linear OA(4142, 1059, F4, 34) (dual of [1059, 917, 35]-code) | [i] | ✔ | |