Information on Result #730579
Linear OA(12864, 387, F128, 38) (dual of [387, 323, 39]-code), using construction XX applied to C1 = C([0,36]), C2 = C([2,37]), C3 = C1 + C2 = C([2,36]), and C∩ = C1 ∩ C2 = C([0,37]) based on
- linear OA(12861, 381, F128, 37) (dual of [381, 320, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(12860, 381, F128, 36) (dual of [381, 321, 37]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,37}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(12863, 381, F128, 38) (dual of [381, 318, 39]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(12858, 381, F128, 35) (dual of [381, 323, 36]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,36}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1281, 4, F128, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, 128, F128, 1) (dual of [128, 127, 2]-code), using
- Reed–Solomon code RS(127,128) [i]
- discarding factors / shortening the dual code based on linear OA(1281, 128, F128, 1) (dual of [128, 127, 2]-code), using
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 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
None.