Information on Result #708290
Linear OA(4111, 1023, F4, 29) (dual of [1023, 912, 30]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−2,−1,…,26}, and designed minimum distance d ≥ |I|+1 = 30
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4111, 1013, F4, 2, 29) (dual of [(1013, 2), 1915, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4111, 1013, F4, 3, 29) (dual of [(1013, 3), 2928, 30]-NRT-code) | [i] | ||
| 3 | Digital (82, 111, 1013)-net over F4 | [i] | ||
| 4 | Linear OA(4118, 1040, F4, 31) (dual of [1040, 922, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |