Information on Result #725542
Linear OA(2795, 371, F27, 51) (dual of [371, 276, 52]-code), using construction XX applied to C1 = C([362,47]), C2 = C([0,48]), C3 = C1 + C2 = C([0,47]), and C∩ = C1 ∩ C2 = C([362,48]) based on
- linear OA(2792, 364, F27, 50) (dual of [364, 272, 51]-code), using the BCH-code C(I) with length 364 | 272−1, defining interval I = {−2,−1,…,47}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2790, 364, F27, 49) (dual of [364, 274, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(2794, 364, F27, 51) (dual of [364, 270, 52]-code), using the BCH-code C(I) with length 364 | 272−1, defining interval I = {−2,−1,…,48}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2788, 364, F27, 48) (dual of [364, 276, 49]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [0,47], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, 27, F27, 1) (dual of [27, 26, 2]-code), using
- Reed–Solomon code RS(26,27) [i]
- discarding factors / shortening the dual code based on linear OA(271, 27, F27, 1) (dual of [27, 26, 2]-code), using
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 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.