Information on Result #991846
Linear OOA(8165, 2187, F81, 3, 33) (dual of [(2187, 3), 6496, 34]-NRT-code), using OOA 3-folding based on linear OA(8165, 6561, F81, 33) (dual of [6561, 6496, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
Mode: Constructive and linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8181, 2269, F81, 3, 33) (dual of [(2269, 3), 6726, 34]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8182, 2287, F81, 3, 33) (dual of [(2287, 3), 6779, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(8165, 1741, F81, 4, 33) (dual of [(1741, 4), 6899, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (32, 65, 1741)-net over F81 | [i] | ||