Information on Result #1821399
OA(12862, 776, S128, 32), using discarding parts of the base based on linear OA(25654, 776, F256, 32) (dual of [776, 722, 33]-code), using
- construction XX applied to C1 = C([242,272]), C2 = C([241,270]), C3 = C1 + C2 = C([242,270]), and C∩ = C1 ∩ C2 = C([241,272]) [i] based on
- 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(25651, 771, F256, 30) (dual of [771, 720, 31]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {241,242,…,270}, and designed minimum distance d ≥ |I|+1 = 31 [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(25649, 771, F256, 29) (dual of [771, 722, 30]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {242,243,…,270}, and designed minimum distance d ≥ |I|+1 = 30 [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.
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
None.