Information on Result #730479
Linear OA(12833, 393, F128, 18) (dual of [393, 360, 19]-code), using construction XX applied to C1 = C([377,12]), C2 = C([0,13]), C3 = C1 + C2 = C([0,12]), and C∩ = C1 ∩ C2 = C([377,13]) based on
- linear OA(12828, 381, F128, 17) (dual of [381, 353, 18]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {−4,−3,…,12}, and designed minimum distance d ≥ |I|+1 = 18 [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(12830, 381, F128, 18) (dual of [381, 351, 19]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {−4,−3,…,13}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(1283, 10, F128, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,128) or 10-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), 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.