Information on Result #680113
Linear OA(4111, 1025, F4, 29) (dual of [1025, 914, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(4122, 1036, F4, 31) (dual of [1036, 914, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4124, 1031, F4, 33) (dual of [1031, 907, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(4125, 1039, F4, 33) (dual of [1039, 914, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(4112, 1036, F4, 29) (dual of [1036, 924, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(4140, 1049, F4, 35) (dual of [1049, 909, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(4141, 1055, F4, 35) (dual of [1055, 914, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(4137, 1046, F4, 34) (dual of [1046, 909, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(4138, 1052, F4, 34) (dual of [1052, 914, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4115, 1042, F4, 29) (dual of [1042, 927, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(4116, 1050, F4, 29) (dual of [1050, 934, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(4114, 1046, F4, 28) (dual of [1046, 932, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(4154, 1059, F4, 37) (dual of [1059, 905, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4155, 1062, F4, 37) (dual of [1062, 907, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(4156, 1068, F4, 37) (dual of [1068, 912, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4157, 1071, F4, 37) (dual of [1071, 914, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(4153, 1059, F4, 36) (dual of [1059, 906, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(4154, 1068, F4, 36) (dual of [1068, 914, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(4124, 1059, F4, 29) (dual of [1059, 935, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(4125, 1062, F4, 29) (dual of [1062, 937, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(4126, 1068, F4, 29) (dual of [1068, 942, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(4123, 1059, F4, 28) (dual of [1059, 936, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(4124, 1068, F4, 28) (dual of [1068, 944, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(4176, 1090, F4, 41) (dual of [1090, 914, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(4173, 1087, F4, 40) (dual of [1087, 914, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(4170, 1084, F4, 39) (dual of [1084, 914, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(4155, 1064, F4, 37) (dual of [1064, 909, 38]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 27 | Linear OA(4154, 1062, F4, 37) (dual of [1062, 908, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(4152, 1059, F4, 37) (dual of [1059, 907, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(4138, 1045, F4, 35) (dual of [1045, 907, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(4143, 1061, F4, 34) (dual of [1061, 918, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(4142, 1059, F4, 34) (dual of [1059, 917, 35]-code) | [i] | ✔ | |
| 32 | Linear OA(4129, 1046, F4, 33) (dual of [1046, 917, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(4125, 1064, F4, 29) (dual of [1064, 939, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(4124, 1062, F4, 29) (dual of [1062, 938, 30]-code) | [i] | ✔ | |
| 35 | Linear OA(4122, 1059, F4, 29) (dual of [1059, 937, 30]-code) | [i] | ✔ | |