Information on Result #709195
Linear OA(4201, 1023, F4, 54) (dual of [1023, 822, 55]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,49}, and designed minimum distance d ≥ |I|+1 = 55
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4215, 1073, F4, 54) (dual of [1073, 858, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4207, 1049, F4, 54) (dual of [1049, 842, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(4210, 1060, F4, 54) (dual of [1060, 850, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(4208, 1053, F4, 54) (dual of [1053, 845, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(4206, 1048, F4, 54) (dual of [1048, 842, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(4205, 1045, F4, 54) (dual of [1045, 840, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(4210, 1045, F4, 55) (dual of [1045, 835, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(4221, 1059, F4, 57) (dual of [1059, 838, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(4220, 1057, F4, 57) (dual of [1057, 837, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(4219, 1056, F4, 57) (dual of [1056, 837, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(4218, 1053, F4, 57) (dual of [1053, 835, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(4225, 1060, F4, 58) (dual of [1060, 835, 59]-code) | [i] | ✔ | |