Information on Result #1084754
Linear OOA(8110, 6642, F81, 4, 5) (dual of [(6642, 4), 26558, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 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, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(811, 82, F81, 4, 1) (dual of [(82, 4), 327, 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, 82, F81, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
- linear OOA(811, 82, F81, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
- 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(815, 82, F81, 4, 5) (dual of [(82, 4), 323, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;323,81) [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(8151, 2103792, F81, 4, 11) (dual of [(2103792, 4), 8415117, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(8147, 2103792, F81, 4, 10) (dual of [(2103792, 4), 8415121, 11]-NRT-code) | [i] | ||
3 | Linear OOA(8116, 538002, F81, 4, 5) (dual of [(538002, 4), 2151992, 6]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
4 | Linear OOA(8110, 6642, F81, 5, 5) (dual of [(6642, 5), 33200, 6]-NRT-code) | [i] | Appending kth Column |