Information on Result #730806
Linear OA(25624, 776, F256, 14) (dual of [776, 752, 15]-code), using construction XX applied to C1 = C([251,263]), C2 = C([250,261]), C3 = C1 + C2 = C([251,261]), and C∩ = C1 ∩ C2 = C([250,263]) based on
- linear OA(25621, 771, F256, 13) (dual of [771, 750, 14]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {251,252,…,263}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(25621, 771, F256, 12) (dual of [771, 750, 13]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {250,251,…,261}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(25623, 771, F256, 14) (dual of [771, 748, 15]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {250,251,…,263}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(25619, 771, F256, 11) (dual of [771, 752, 12]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {251,252,…,261}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 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(25624, 388, F256, 2, 14) (dual of [(388, 2), 752, 15]-NRT-code) | [i] | OOA Folding | |