Information on Result #730601
Linear OA(25618, 773, F256, 11) (dual of [773, 755, 12]-code), using construction X applied to C([123,133]) ⊂ C([124,133]) based on
- linear OA(25618, 771, F256, 11) (dual of [771, 753, 12]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {123,124,…,133}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(25616, 771, F256, 10) (dual of [771, 755, 11]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {124,125,…,133}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OA(25663, 66311, F256, 23) (dual of [66311, 66248, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25661, 66311, F256, 22) (dual of [66311, 66250, 23]-code) | [i] | ||
| 3 | Linear OOA(25618, 386, F256, 2, 11) (dual of [(386, 2), 754, 12]-NRT-code) | [i] | OOA Folding | |