Information on Result #991789
Linear OOA(8161, 2187, F81, 3, 31) (dual of [(2187, 3), 6500, 32]-NRT-code), using OOA 3-folding based on linear OA(8161, 6561, F81, 31) (dual of [6561, 6500, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(8176, 2269, F81, 3, 31) (dual of [(2269, 3), 6731, 32]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8177, 2287, F81, 3, 31) (dual of [(2287, 3), 6784, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(8178, 2303, F81, 3, 31) (dual of [(2303, 3), 6831, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(8180, 2337, F81, 3, 31) (dual of [(2337, 3), 6931, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(8181, 2347, F81, 3, 31) (dual of [(2347, 3), 6960, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(8161, 1705, F81, 4, 31) (dual of [(1705, 4), 6759, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (30, 61, 1705)-net over F81 | [i] | ||