Information on Result #708764
Linear OA(4176, 1023, F4, 47) (dual of [1023, 847, 48]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,40}, and designed minimum distance d ≥ |I|+1 = 48
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 Expurgated Narrow-Sense BCH-Codes [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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4199, 1089, F4, 47) (dual of [1089, 890, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4198, 1087, F4, 47) (dual of [1087, 889, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(4194, 1079, F4, 47) (dual of [1079, 885, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(4193, 1077, F4, 47) (dual of [1077, 884, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(4192, 1072, F4, 47) (dual of [1072, 880, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(4191, 1070, F4, 47) (dual of [1070, 879, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(4190, 1065, F4, 47) (dual of [1065, 875, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4189, 1063, F4, 47) (dual of [1063, 874, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(4196, 1087, F4, 47) (dual of [1087, 891, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(4191, 1077, F4, 47) (dual of [1077, 886, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(4189, 1070, F4, 47) (dual of [1070, 881, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(4187, 1063, F4, 47) (dual of [1063, 876, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(4193, 1062, F4, 48) (dual of [1062, 869, 49]-code) | [i] | ✔ | |
| 14 | Linear OA(4191, 1062, F4, 48) (dual of [1062, 871, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(4209, 1079, F4, 51) (dual of [1079, 870, 52]-code) | [i] | ✔ | |
| 16 | Linear OA(4208, 1077, F4, 51) (dual of [1077, 869, 52]-code) | [i] | ✔ | |
| 17 | Linear OA(4206, 1077, F4, 51) (dual of [1077, 871, 52]-code) | [i] | ✔ | |
| 18 | Linear OA(4216, 1086, F4, 52) (dual of [1086, 870, 53]-code) | [i] | ✔ | |
| 19 | Linear OA(4215, 1084, F4, 52) (dual of [1084, 869, 53]-code) | [i] | ✔ | |
| 20 | Linear OA(4213, 1084, F4, 52) (dual of [1084, 871, 53]-code) | [i] | ✔ | |