Information on Result #671540
Linear OA(25612, 261124, F256, 5) (dual of [261124, 261112, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(2561, 65281, F256, 1) (dual of [65281, 65280, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(2561, 65281, F256, 1) (dual of [65281, 65280, 2]-code) (see above)
- linear OA(2563, 65281, F256, 2) (dual of [65281, 65278, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- Hamming code H(3,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 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(25612, 261124, F256, 2, 5) (dual of [(261124, 2), 522236, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25612, 261124, F256, 3, 5) (dual of [(261124, 3), 783360, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(25612, 261124, F256, 4, 5) (dual of [(261124, 4), 1044484, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(25612, 130562, F256, 2, 5) (dual of [(130562, 2), 261112, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(25612, 130561, F256, 3, 5) (dual of [(130561, 3), 391671, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(25612, 130561, F256, 4, 5) (dual of [(130561, 4), 522232, 6]-NRT-code) | [i] | ||
| 7 | Linear OOA(25612, 130561, F256, 5, 5) (dual of [(130561, 5), 652793, 6]-NRT-code) | [i] | ||