Information on Result #671605
Linear OA(25611, 195843, F256, 5) (dual of [195843, 195832, 6]-code), using (u, u−v, u+v+w)-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(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(25611, 195843, F256, 2, 5) (dual of [(195843, 2), 391675, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25611, 195843, F256, 3, 5) (dual of [(195843, 3), 587518, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(25611, 195843, F256, 4, 5) (dual of [(195843, 4), 783361, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(25611, 97921, F256, 2, 5) (dual of [(97921, 2), 195831, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(25611, 97921, F256, 3, 5) (dual of [(97921, 3), 293752, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(25611, 97921, F256, 4, 5) (dual of [(97921, 4), 391673, 6]-NRT-code) | [i] | ||
| 7 | Linear OOA(25611, 97921, F256, 5, 5) (dual of [(97921, 5), 489594, 6]-NRT-code) | [i] | ||