Information on Result #708530
Linear OA(4151, 1023, F4, 40) (dual of [1023, 872, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,34}, and designed minimum distance d ≥ |I|+1 = 41
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(4162, 1065, F4, 40) (dual of [1065, 903, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4165, 1077, F4, 40) (dual of [1077, 912, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(4164, 1071, F4, 40) (dual of [1071, 907, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(4163, 1070, F4, 40) (dual of [1070, 907, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(4159, 1061, F4, 40) (dual of [1061, 902, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(4158, 1055, F4, 40) (dual of [1055, 897, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(4157, 1049, F4, 40) (dual of [1049, 892, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(4167, 1060, F4, 42) (dual of [1060, 893, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(4164, 1056, F4, 42) (dual of [1056, 892, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(4171, 1063, F4, 43) (dual of [1063, 892, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(4170, 1057, F4, 43) (dual of [1057, 887, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(4178, 1070, F4, 44) (dual of [1070, 892, 45]-code) | [i] | ✔ | |