Information on Result #2256137
Linear OA(2569, 130561, F256, 4) (dual of [130561, 130552, 5]-code), using 1 times truncation based on linear OA(25610, 130562, F256, 5) (dual of [130562, 130552, 6]-code), using
- (u, u+v)-construction [i] based on
- 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
- linear OA(2563, 65281, F256, 2) (dual of [65281, 65278, 3]-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(2569, 130561, F256, 2, 4) (dual of [(130561, 2), 261113, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2569, 130561, F256, 3, 4) (dual of [(130561, 3), 391674, 5]-NRT-code) | [i] | ||
| 3 | Linear OOA(2569, 65280, F256, 2, 4) (dual of [(65280, 2), 130551, 5]-NRT-code) | [i] | OOA Folding | |