Information on Result #730894
Linear OA(25658, 778, F256, 34) (dual of [778, 720, 35]-code), using construction XX applied to C1 = C([242,274]), C2 = C([241,272]), C3 = C1 + C2 = C([242,272]), and C∩ = C1 ∩ C2 = C([241,274]) based on
- 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 = {242,243,…,274}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(25657, 771, F256, 34) (dual of [771, 714, 35]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {241,242,…,274}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(25651, 771, F256, 31) (dual of [771, 720, 32]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {242,243,…,272}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, 256, F256, 1) (dual of [256, 255, 2]-code), using
- Reed–Solomon code RS(255,256) [i]
- discarding factors / shortening the dual code based on linear OA(2561, 256, F256, 1) (dual of [256, 255, 2]-code), 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(25658, 389, F256, 2, 34) (dual of [(389, 2), 720, 35]-NRT-code) | [i] | OOA Folding | |