Information on Result #730868
Linear OA(25649, 776, F256, 29) (dual of [776, 727, 30]-code), using construction XX applied to C1 = C([115,142]), C2 = C([114,140]), C3 = C1 + C2 = C([115,140]), and C∩ = C1 ∩ C2 = C([114,142]) based on
- linear OA(25646, 771, F256, 28) (dual of [771, 725, 29]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {115,116,…,142}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(25646, 771, F256, 27) (dual of [771, 725, 28]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {114,115,…,140}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25648, 771, F256, 29) (dual of [771, 723, 30]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {114,115,…,142}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(25644, 771, F256, 26) (dual of [771, 727, 27]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {115,116,…,140}, and designed minimum distance d ≥ |I|+1 = 27 [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 | OA(12856, 776, S128, 29) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25649, 388, F256, 2, 29) (dual of [(388, 2), 727, 30]-NRT-code) | [i] | OOA Folding | |