Information on Result #707358
Linear OA(4156, 1023, F4, 42) (dual of [1023, 867, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4181, 1092, F4, 42) (dual of [1092, 911, 43]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4182, 1094, F4, 42) (dual of [1094, 912, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(4226, 1092, F4, 54) (dual of [1092, 866, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(4227, 1094, F4, 54) (dual of [1094, 867, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(4190, 1077, F4, 47) (dual of [1077, 887, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(4189, 1071, F4, 47) (dual of [1071, 882, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(4180, 1060, F4, 46) (dual of [1060, 880, 47]-code) | [i] | ✔ | |
| 8 | Linear OA(4161, 1033, F4, 43) (dual of [1033, 872, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(4198, 1084, F4, 48) (dual of [1084, 886, 49]-code) | [i] | ✔ | |
| 10 | Linear OA(4188, 1070, F4, 47) (dual of [1070, 882, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(4178, 1053, F4, 46) (dual of [1053, 875, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(4167, 1039, F4, 44) (dual of [1039, 872, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(4196, 1077, F4, 48) (dual of [1077, 881, 49]-code) | [i] | ✔ | |
| 14 | Linear OA(4186, 1063, F4, 47) (dual of [1063, 877, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(4185, 1057, F4, 47) (dual of [1057, 872, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(4194, 1070, F4, 48) (dual of [1070, 876, 49]-code) | [i] | ✔ | |
| 17 | Linear OA(4176, 1048, F4, 46) (dual of [1048, 872, 47]-code) | [i] | ✔ | |
| 18 | Linear OA(4175, 1045, F4, 46) (dual of [1045, 870, 47]-code) | [i] | ✔ | |
| 19 | Linear OA(4183, 1055, F4, 47) (dual of [1055, 872, 48]-code) | [i] | ✔ | |
| 20 | Linear OA(4182, 1049, F4, 47) (dual of [1049, 867, 48]-code) | [i] | ✔ | |
| 21 | Linear OA(4191, 1062, F4, 48) (dual of [1062, 871, 49]-code) | [i] | ✔ | |
| 22 | Linear OA(4166, 1033, F4, 44) (dual of [1033, 867, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(4180, 1045, F4, 47) (dual of [1045, 865, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(4187, 1049, F4, 48) (dual of [1049, 862, 49]-code) | [i] | ✔ | |
| 25 | Linear OA(4189, 1056, F4, 49) (dual of [1056, 867, 50]-code) | [i] | ✔ | |
| 26 | Linear OA(4188, 1053, F4, 49) (dual of [1053, 865, 50]-code) | [i] | ✔ | |
| 27 | Linear OA(4196, 1063, F4, 50) (dual of [1063, 867, 51]-code) | [i] | ✔ | |
| 28 | Linear OA(4195, 1057, F4, 50) (dual of [1057, 862, 51]-code) | [i] | ✔ | |
| 29 | Linear OA(4204, 1070, F4, 51) (dual of [1070, 866, 52]-code) | [i] | ✔ | |
| 30 | Linear OA(4212, 1072, F4, 52) (dual of [1072, 860, 53]-code) | [i] | ✔ | |
| 31 | Linear OA(4195, 1060, F4, 50) (dual of [1060, 865, 51]-code) | [i] | ✔ | |
| 32 | Linear OA(4203, 1070, F4, 51) (dual of [1070, 867, 52]-code) | [i] | ✔ | |
| 33 | Linear OA(4211, 1077, F4, 52) (dual of [1077, 866, 53]-code) | [i] | ✔ | |
| 34 | Linear OA(4210, 1077, F4, 52) (dual of [1077, 867, 53]-code) | [i] | ✔ | |
| 35 | Linear OA(4209, 1071, F4, 52) (dual of [1071, 862, 53]-code) | [i] | ✔ | |