Information on Result #1613202
Linear OOA(8112, 25924, F81, 4, 5) (dual of [(25924, 4), 103684, 6]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8112, 25924, F81, 5) (dual of [25924, 25912, 6]-code), using
- generalized (u, u+v)-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(811, 6481, F81, 1) (dual of [6481, 6480, 2]-code) (see above)
- 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: 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(8112, 25924, F81, 5, 5) (dual of [(25924, 5), 129608, 6]-NRT-code) | [i] | Appending kth Column |