Information on Result #707483
Linear OA(426, 1023, F4, 7) (dual of [1023, 997, 8]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8
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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(426, 886, F4, 2, 7) (dual of [(886, 2), 1746, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(426, 886, F4, 3, 7) (dual of [(886, 3), 2632, 8]-NRT-code) | [i] | ||
| 3 | Digital (19, 26, 886)-net over F4 | [i] | ||
| 4 | Linear OA(426, 1033, F4, 7) (dual of [1033, 1007, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(431, 1033, F4, 8) (dual of [1033, 1002, 9]-code) | [i] | ✔ | |