Information on Result #670219
Linear OA(8111, 19443, F81, 5) (dual of [19443, 19432, 6]-code), using (u, u−v, u+v+w)-construction 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
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(8111, 19443, F81, 2, 5) (dual of [(19443, 2), 38875, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8111, 19443, F81, 3, 5) (dual of [(19443, 3), 58318, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(8111, 19443, F81, 4, 5) (dual of [(19443, 4), 77761, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(8111, 9721, F81, 2, 5) (dual of [(9721, 2), 19431, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8111, 9721, F81, 3, 5) (dual of [(9721, 3), 29152, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(8111, 9721, F81, 4, 5) (dual of [(9721, 4), 38873, 6]-NRT-code) | [i] | ||