Information on Result #1084755
Linear OOA(8115, 269082, F81, 4, 5) (dual of [(269082, 4), 1076313, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, s, F81, 4, 0) for arbitrarily large s, using
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(810, 3322, F81, 4, 0) (dual of [(3322, 4), 13288, 1]-NRT-code) (see above)
- linear OOA(811, 3322, F81, 4, 1) (dual of [(3322, 4), 13287, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 4, 1) for arbitrarily large s, using
- appending 3 arbitrary columns [i] based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 4, 1) for arbitrarily large s, using
- linear OOA(811, 3322, F81, 4, 1) (dual of [(3322, 4), 13287, 2]-NRT-code) (see above)
- linear OOA(811, 3322, F81, 4, 1) (dual of [(3322, 4), 13287, 2]-NRT-code) (see above)
- linear OOA(813, 3322, F81, 4, 2) (dual of [(3322, 4), 13285, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 6643, F81, 4, 2) (dual of [(6643, 4), 26569, 3]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(813, 6643, F81, 2, 2) (dual of [(6643, 2), 13283, 3]-NRT-code), using
- appending kth column [i] based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- Hamming code H(3,81) [i]
- appending kth column [i] based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- appending 2 arbitrary columns [i] based on linear OOA(813, 6643, F81, 2, 2) (dual of [(6643, 2), 13283, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 6643, F81, 4, 2) (dual of [(6643, 4), 26569, 3]-NRT-code), using
- linear OOA(819, 3322, F81, 4, 5) (dual of [(3322, 4), 13279, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(812, 82, F81, 4, 2) (dual of [(82, 4), 326, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;326,81) [i]
- linear OOA(817, 3240, F81, 4, 5) (dual of [(3240, 4), 12953, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- linear OOA(812, 82, F81, 4, 2) (dual of [(82, 4), 326, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
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(8156, 2366232, F81, 4, 11) (dual of [(2366232, 4), 9464872, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8152, 2366232, F81, 4, 10) (dual of [(2366232, 4), 9464876, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(8115, 269082, F81, 5, 5) (dual of [(269082, 5), 1345395, 6]-NRT-code) | [i] | Appending kth Column | |