Information on Result #708846
Linear OA(4181, 1023, F4, 48) (dual of [1023, 842, 49]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,41}, and designed minimum distance d ≥ |I|+1 = 49
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(4201, 1086, F4, 48) (dual of [1086, 885, 49]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4200, 1084, F4, 48) (dual of [1084, 884, 49]-code) | [i] | ✔ | |
| 3 | Linear OA(4198, 1077, F4, 48) (dual of [1077, 879, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(4193, 1062, F4, 48) (dual of [1062, 869, 49]-code) | [i] | ✔ | |
| 5 | Linear OA(4198, 1084, F4, 48) (dual of [1084, 886, 49]-code) | [i] | ✔ | |
| 6 | Linear OA(4196, 1077, F4, 48) (dual of [1077, 881, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(4194, 1070, F4, 48) (dual of [1070, 876, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(4191, 1062, F4, 48) (dual of [1062, 871, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(4207, 1072, F4, 51) (dual of [1072, 865, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(4206, 1070, F4, 51) (dual of [1070, 864, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(4204, 1070, F4, 51) (dual of [1070, 866, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(4213, 1077, F4, 52) (dual of [1077, 864, 53]-code) | [i] | ✔ | |
| 13 | Linear OA(4211, 1077, F4, 52) (dual of [1077, 866, 53]-code) | [i] | ✔ | |