Information on Result #730884
Linear OA(25657, 779, F256, 33) (dual of [779, 722, 34]-code), using construction XX applied to C1 = C([241,272]), C2 = C([240,269]), C3 = C1 + C2 = C([241,269]), and C∩ = C1 ∩ C2 = C([240,272]) based on
- linear OA(25653, 771, F256, 32) (dual of [771, 718, 33]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {241,242,…,272}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(25651, 771, F256, 30) (dual of [771, 720, 31]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {240,241,…,269}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(25655, 771, F256, 33) (dual of [771, 716, 34]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {240,241,…,272}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(25649, 771, F256, 29) (dual of [771, 722, 30]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {241,242,…,269}, and designed minimum distance d ≥ |I|+1 = 30 [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(25657, 389, F256, 2, 33) (dual of [(389, 2), 721, 34]-NRT-code) | [i] | OOA Folding | |