Information on Result #725746
Linear OA(2718, 728, F27, 9) (dual of [728, 710, 10]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,11}, and designed minimum distance d ≥ |I|+1 = 10
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2718, 386, F27, 2, 9) (dual of [(386, 2), 754, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (9, 18, 386)-net over F27 | [i] | ||
| 3 | Linear OA(2754, 763, F27, 22) (dual of [763, 709, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |