Information on Result #708349
Linear OA(4121, 1023, F4, 32) (dual of [1023, 902, 33]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33
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 OOA(4121, 1005, F4, 2, 32) (dual of [(1005, 2), 1889, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4121, 1005, F4, 3, 32) (dual of [(1005, 3), 2894, 33]-NRT-code) | [i] | ||
| 3 | Digital (89, 121, 1005)-net over F4 | [i] | ||
| 4 | Linear OA(4123, 1041, F4, 32) (dual of [1041, 918, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4121, 1033, F4, 32) (dual of [1033, 912, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(4128, 1036, F4, 34) (dual of [1036, 908, 35]-code) | [i] | ✔ | |