Information on Result #707351
Linear OA(4151, 1023, F4, 40) (dual of [1023, 872, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {303,304,…,342}, and designed minimum distance d ≥ |I|+1 = 41
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4173, 1090, F4, 40) (dual of [1090, 917, 41]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4156, 1047, F4, 40) (dual of [1047, 891, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(4155, 1045, F4, 40) (dual of [1045, 890, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(4157, 1034, F4, 42) (dual of [1034, 877, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(4165, 1047, F4, 43) (dual of [1047, 882, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(4164, 1039, F4, 43) (dual of [1039, 875, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(4171, 1047, F4, 44) (dual of [1047, 876, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(4164, 1041, F4, 43) (dual of [1041, 877, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(4172, 1054, F4, 44) (dual of [1054, 882, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(4171, 1051, F4, 44) (dual of [1051, 880, 45]-code) | [i] | ✔ | |
| 11 | Linear OA(4196, 1086, F4, 47) (dual of [1086, 890, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(4195, 1084, F4, 47) (dual of [1084, 889, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(4170, 1045, F4, 44) (dual of [1045, 875, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(4190, 1066, F4, 47) (dual of [1066, 876, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(4189, 1064, F4, 47) (dual of [1064, 875, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(4181, 1058, F4, 46) (dual of [1058, 877, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(4190, 1070, F4, 47) (dual of [1070, 880, 48]-code) | [i] | ✔ | |
| 18 | Linear OA(4189, 1068, F4, 47) (dual of [1068, 879, 48]-code) | [i] | ✔ | |
| 19 | Linear OA(4188, 1062, F4, 47) (dual of [1062, 874, 48]-code) | [i] | ✔ | |
| 20 | Linear OA(4170, 1042, F4, 45) (dual of [1042, 872, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(4195, 1065, F4, 49) (dual of [1065, 870, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(4194, 1063, F4, 49) (dual of [1063, 869, 50]-code) | [i] | ✔ | |
| 23 | Linear OA(4202, 1072, F4, 50) (dual of [1072, 870, 51]-code) | [i] | ✔ | |
| 24 | Linear OA(4201, 1070, F4, 50) (dual of [1070, 869, 51]-code) | [i] | ✔ | |
| 25 | Linear OA(4219, 1089, F4, 53) (dual of [1089, 870, 54]-code) | [i] | ✔ | |
| 26 | Linear OA(4218, 1087, F4, 53) (dual of [1087, 869, 54]-code) | [i] | ✔ | |