Information on Result #730465
Linear OA(12824, 387, F128, 14) (dual of [387, 363, 15]-code), using construction XX applied to C1 = C([0,12]), C2 = C([2,13]), C3 = C1 + C2 = C([2,12]), and C∩ = C1 ∩ C2 = C([0,13]) based on
- linear OA(12821, 381, F128, 13) (dual of [381, 360, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12820, 381, F128, 12) (dual of [381, 361, 13]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,13}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12823, 381, F128, 14) (dual of [381, 358, 15]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(12818, 381, F128, 11) (dual of [381, 363, 12]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,12}, and designed minimum distance d ≥ |I|+1 = 12 [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.