Information on Result #730563
Linear OA(12854, 387, F128, 32) (dual of [387, 333, 33]-code), using construction XX applied to C1 = C([0,30]), C2 = C([2,31]), C3 = C1 + C2 = C([2,30]), and C∩ = C1 ∩ C2 = C([0,31]) based on
- linear OA(12851, 381, F128, 31) (dual of [381, 330, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(12850, 381, F128, 30) (dual of [381, 331, 31]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,31}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(12853, 381, F128, 32) (dual of [381, 328, 33]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(12848, 381, F128, 29) (dual of [381, 333, 30]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,30}, and designed minimum distance d ≥ |I|+1 = 30 [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.