Information on Result #730775
Linear OA(25667, 782, F256, 38) (dual of [782, 715, 39]-code), using construction X applied to C([108,145]) ⊂ C([112,145]) based on
- linear OA(25664, 771, F256, 38) (dual of [771, 707, 39]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {108,109,…,145}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(25656, 771, F256, 34) (dual of [771, 715, 35]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {112,113,…,145}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2563, 11, F256, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), 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(25667, 391, F256, 2, 38) (dual of [(391, 2), 715, 39]-NRT-code) | [i] | OOA Folding | |