Information on Result #708877
Linear OA(4160, 1023, F4, 42) (dual of [1023, 863, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4168, 1041, F4, 44) (dual of [1041, 873, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4184, 1057, F4, 47) (dual of [1057, 873, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(4192, 1065, F4, 48) (dual of [1065, 873, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(4173, 1036, F4, 46) (dual of [1036, 863, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(4189, 1052, F4, 49) (dual of [1052, 863, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(4187, 1050, F4, 48) (dual of [1050, 863, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(4188, 1050, F4, 49) (dual of [1050, 862, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(4186, 1046, F4, 48) (dual of [1046, 860, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(4197, 1060, F4, 50) (dual of [1060, 863, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(4205, 1065, F4, 51) (dual of [1065, 860, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(4204, 1063, F4, 51) (dual of [1063, 859, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(4211, 1070, F4, 52) (dual of [1070, 859, 53]-code) | [i] | ✔ | |
| 13 | Linear OA(4229, 1089, F4, 55) (dual of [1089, 860, 56]-code) | [i] | ✔ | |
| 14 | Linear OA(4228, 1087, F4, 55) (dual of [1087, 859, 56]-code) | [i] | ✔ | |