Information on Result #708813
Linear OA(4176, 1023, F4, 47) (dual of [1023, 847, 48]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,343}, and designed minimum distance d ≥ |I|+1 = 48
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4192, 1073, F4, 47) (dual of [1073, 881, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4187, 1064, F4, 47) (dual of [1064, 877, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(4183, 1035, F4, 49) (dual of [1035, 852, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(4216, 1083, F4, 53) (dual of [1083, 867, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(4206, 1064, F4, 52) (dual of [1064, 858, 53]-code) | [i] | ✔ | |
| 6 | Linear OA(4211, 1073, F4, 53) (dual of [1073, 862, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(4210, 1067, F4, 53) (dual of [1067, 857, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(4209, 1066, F4, 53) (dual of [1066, 857, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(4208, 1060, F4, 53) (dual of [1060, 852, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(4207, 1059, F4, 53) (dual of [1059, 852, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(4226, 1073, F4, 57) (dual of [1073, 847, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(4225, 1067, F4, 57) (dual of [1067, 842, 58]-code) | [i] | ✔ | |
| 13 | Linear OA(4233, 1080, F4, 58) (dual of [1080, 847, 59]-code) | [i] | ✔ | |