Information on Result #730554
Linear OA(12849, 387, F128, 29) (dual of [387, 338, 30]-code), using construction XX applied to C1 = C([0,27]), C2 = C([2,28]), C3 = C1 + C2 = C([2,27]), and C∩ = C1 ∩ C2 = C([0,28]) based on
- linear OA(12846, 381, F128, 28) (dual of [381, 335, 29]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(12845, 381, F128, 27) (dual of [381, 336, 28]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,28}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(12848, 381, F128, 29) (dual of [381, 333, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(12843, 381, F128, 26) (dual of [381, 338, 27]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,27}, and designed minimum distance d ≥ |I|+1 = 27 [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.