Information on Result #730651
Linear OA(25638, 773, F256, 23) (dual of [773, 735, 24]-code), using construction X applied to C([117,139]) ⊂ C([118,139]) based on
- linear OA(25638, 771, F256, 23) (dual of [771, 733, 24]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {117,118,…,139}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(25636, 771, F256, 22) (dual of [771, 735, 23]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {118,119,…,139}, and designed minimum distance d ≥ |I|+1 = 23 [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 | OA(12844, 773, S128, 23) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25638, 386, F256, 2, 23) (dual of [(386, 2), 734, 24]-NRT-code) | [i] | OOA Folding | |