Information on Result #680101
Linear OA(4171, 1025, F4, 45) (dual of [1025, 854, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(4182, 1036, F4, 47) (dual of [1036, 854, 48]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4184, 1031, F4, 49) (dual of [1031, 847, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(4185, 1039, F4, 49) (dual of [1039, 854, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(4172, 1036, F4, 45) (dual of [1036, 864, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(4200, 1049, F4, 51) (dual of [1049, 849, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(4201, 1055, F4, 51) (dual of [1055, 854, 52]-code) | [i] | ✔ | |
| 7 | Linear OA(4197, 1046, F4, 50) (dual of [1046, 849, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(4198, 1052, F4, 50) (dual of [1052, 854, 51]-code) | [i] | ✔ | |
| 9 | Linear OA(4175, 1042, F4, 45) (dual of [1042, 867, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(4176, 1050, F4, 45) (dual of [1050, 874, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(4174, 1046, F4, 44) (dual of [1046, 872, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(4214, 1059, F4, 53) (dual of [1059, 845, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(4215, 1062, F4, 53) (dual of [1062, 847, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(4216, 1068, F4, 53) (dual of [1068, 852, 54]-code) | [i] | ✔ | |
| 15 | Linear OA(4217, 1071, F4, 53) (dual of [1071, 854, 54]-code) | [i] | ✔ | |
| 16 | Linear OA(4213, 1059, F4, 52) (dual of [1059, 846, 53]-code) | [i] | ✔ | |
| 17 | Linear OA(4214, 1068, F4, 52) (dual of [1068, 854, 53]-code) | [i] | ✔ | |
| 18 | Linear OA(4184, 1059, F4, 45) (dual of [1059, 875, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(4185, 1062, F4, 45) (dual of [1062, 877, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(4186, 1068, F4, 45) (dual of [1068, 882, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(4187, 1071, F4, 45) (dual of [1071, 884, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(4183, 1059, F4, 44) (dual of [1059, 876, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(4184, 1068, F4, 44) (dual of [1068, 884, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(4236, 1090, F4, 57) (dual of [1090, 854, 58]-code) | [i] | ✔ | |
| 25 | Linear OA(4233, 1087, F4, 56) (dual of [1087, 854, 57]-code) | [i] | ✔ | |
| 26 | Linear OA(4230, 1084, F4, 55) (dual of [1084, 854, 56]-code) | [i] | ✔ | |
| 27 | Linear OA(4190, 1084, F4, 45) (dual of [1084, 894, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(4253, 1101, F4, 59) (dual of [1101, 848, 60]-code) | [i] | ✔ | |
| 29 | Linear OA(4254, 1108, F4, 59) (dual of [1108, 854, 60]-code) | [i] | ✔ | |
| 30 | Linear OA(4251, 1101, F4, 58) (dual of [1101, 850, 59]-code) | [i] | ✔ | |
| 31 | Linear OA(4215, 1064, F4, 53) (dual of [1064, 849, 54]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 32 | Linear OA(4214, 1062, F4, 53) (dual of [1062, 848, 54]-code) | [i] | ✔ | |
| 33 | Linear OA(4212, 1059, F4, 53) (dual of [1059, 847, 54]-code) | [i] | ✔ | |
| 34 | Linear OA(4198, 1045, F4, 51) (dual of [1045, 847, 52]-code) | [i] | ✔ | |
| 35 | Linear OA(4203, 1061, F4, 50) (dual of [1061, 858, 51]-code) | [i] | ✔ | |
| 36 | Linear OA(4202, 1059, F4, 50) (dual of [1059, 857, 51]-code) | [i] | ✔ | |
| 37 | Linear OA(4189, 1046, F4, 49) (dual of [1046, 857, 50]-code) | [i] | ✔ | |
| 38 | Linear OA(4185, 1064, F4, 45) (dual of [1064, 879, 46]-code) | [i] | ✔ | |
| 39 | Linear OA(4184, 1062, F4, 45) (dual of [1062, 878, 46]-code) | [i] | ✔ | |
| 40 | Linear OA(4182, 1059, F4, 45) (dual of [1059, 877, 46]-code) | [i] | ✔ | |