Information on Result #730916
Linear OA(25667, 779, F256, 39) (dual of [779, 712, 40]-code), using construction XX applied to C1 = C([238,275]), C2 = C([237,272]), C3 = C1 + C2 = C([238,272]), and C∩ = C1 ∩ C2 = C([237,275]) based on
- linear OA(25663, 771, F256, 38) (dual of [771, 708, 39]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {238,239,…,275}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(25661, 771, F256, 36) (dual of [771, 710, 37]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {237,238,…,272}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(25665, 771, F256, 39) (dual of [771, 706, 40]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {237,238,…,275}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(25659, 771, F256, 35) (dual of [771, 712, 36]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {238,239,…,272}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2562, 6, F256, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- 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 OOA(25667, 389, F256, 2, 39) (dual of [(389, 2), 711, 40]-NRT-code) | [i] | OOA Folding | |