Information on Result #709016
Linear OA(4186, 1023, F4, 50) (dual of [1023, 837, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,45}, and designed minimum distance d ≥ |I|+1 = 51
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(4200, 1073, F4, 50) (dual of [1073, 873, 51]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4192, 1049, F4, 50) (dual of [1049, 857, 51]-code) | [i] | ✔ | |
| 3 | Linear OA(4195, 1060, F4, 50) (dual of [1060, 865, 51]-code) | [i] | ✔ | |
| 4 | Linear OA(4193, 1053, F4, 50) (dual of [1053, 860, 51]-code) | [i] | ✔ | |
| 5 | Linear OA(4191, 1048, F4, 50) (dual of [1048, 857, 51]-code) | [i] | ✔ | |
| 6 | Linear OA(4190, 1045, F4, 50) (dual of [1045, 855, 51]-code) | [i] | ✔ | |
| 7 | Linear OA(4195, 1045, F4, 51) (dual of [1045, 850, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(4206, 1059, F4, 53) (dual of [1059, 853, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(4205, 1057, F4, 53) (dual of [1057, 852, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(4204, 1056, F4, 53) (dual of [1056, 852, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(4203, 1053, F4, 53) (dual of [1053, 850, 54]-code) | [i] | ✔ | |
| 12 | Linear OA(4210, 1060, F4, 54) (dual of [1060, 850, 55]-code) | [i] | ✔ | |