Information on Result #708842
Linear OA(4171, 1023, F4, 46) (dual of [1023, 852, 47]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,41}, and designed minimum distance d ≥ |I|+1 = 47
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4185, 1073, F4, 46) (dual of [1073, 888, 47]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4177, 1049, F4, 46) (dual of [1049, 872, 47]-code) | [i] | ✔ | |
| 3 | Linear OA(4180, 1060, F4, 46) (dual of [1060, 880, 47]-code) | [i] | ✔ | |
| 4 | Linear OA(4178, 1053, F4, 46) (dual of [1053, 875, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(4176, 1048, F4, 46) (dual of [1048, 872, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(4175, 1045, F4, 46) (dual of [1045, 870, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(4180, 1045, F4, 47) (dual of [1045, 865, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4191, 1059, F4, 49) (dual of [1059, 868, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(4190, 1057, F4, 49) (dual of [1057, 867, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(4189, 1056, F4, 49) (dual of [1056, 867, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(4188, 1053, F4, 49) (dual of [1053, 865, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(4195, 1060, F4, 50) (dual of [1060, 865, 51]-code) | [i] | ✔ | |