Information on Result #707455
Linear OA(421, 1023, F4, 6) (dual of [1023, 1002, 7]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(421, 753, F4, 2, 6) (dual of [(753, 2), 1485, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(421, 753, F4, 3, 6) (dual of [(753, 3), 2238, 7]-NRT-code) | [i] | ||
| 3 | Digital (15, 21, 753)-net over F4 | [i] | ||
| 4 | Linear OA(423, 1036, F4, 6) (dual of [1036, 1013, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(426, 1033, F4, 7) (dual of [1033, 1007, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(433, 1041, F4, 8) (dual of [1041, 1008, 9]-code) | [i] | ✔ | |