Information on Result #1050849
Linear OOA(8111, 9721, F81, 4, 5) (dual of [(9721, 4), 38873, 6]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OA(8111, 19443, F81, 5) (dual of [19443, 19432, 6]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(811, 6481, F81, 1) (dual of [6481, 6480, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(813, 6481, F81, 2) (dual of [6481, 6478, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- Hamming code H(3,81) [i]
- discarding factors / shortening the dual code based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- linear OA(811, 6481, F81, 1) (dual of [6481, 6480, 2]-code), using
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(8148, 2106871, F81, 4, 10) (dual of [(2106871, 4), 8427436, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8152, 2106871, F81, 4, 11) (dual of [(2106871, 4), 8427432, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(8111, 9721, F81, 5, 5) (dual of [(9721, 5), 48594, 6]-NRT-code) | [i] | Appending kth Column | |