Information on Result #709020
Linear OA(4196, 1023, F4, 52) (dual of [1023, 827, 53]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,45}, and designed minimum distance d ≥ |I|+1 = 53
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(4216, 1086, F4, 52) (dual of [1086, 870, 53]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4215, 1084, F4, 52) (dual of [1084, 869, 53]-code) | [i] | ✔ | |
| 3 | Linear OA(4213, 1077, F4, 52) (dual of [1077, 864, 53]-code) | [i] | ✔ | |
| 4 | Linear OA(4211, 1070, F4, 52) (dual of [1070, 859, 53]-code) | [i] | ✔ | |
| 5 | Linear OA(4208, 1062, F4, 52) (dual of [1062, 854, 53]-code) | [i] | ✔ | |
| 6 | Linear OA(4213, 1084, F4, 52) (dual of [1084, 871, 53]-code) | [i] | ✔ | |
| 7 | Linear OA(4211, 1077, F4, 52) (dual of [1077, 866, 53]-code) | [i] | ✔ | |
| 8 | Linear OA(4209, 1070, F4, 52) (dual of [1070, 861, 53]-code) | [i] | ✔ | |
| 9 | Linear OA(4206, 1062, F4, 52) (dual of [1062, 856, 53]-code) | [i] | ✔ | |
| 10 | Linear OA(4222, 1072, F4, 55) (dual of [1072, 850, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(4221, 1070, F4, 55) (dual of [1070, 849, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(4219, 1070, F4, 55) (dual of [1070, 851, 56]-code) | [i] | ✔ | |
| 13 | Linear OA(4228, 1077, F4, 56) (dual of [1077, 849, 57]-code) | [i] | ✔ | |
| 14 | Linear OA(4226, 1077, F4, 56) (dual of [1077, 851, 57]-code) | [i] | ✔ | |