Information on Result #725192
Linear OA(2768, 195, F27, 37) (dual of [195, 127, 38]-code), using construction XX applied to C1 = C([0,35]), C2 = C([5,36]), C3 = C1 + C2 = C([5,35]), and C∩ = C1 ∩ C2 = C([0,36]) based on
- linear OA(2762, 182, F27, 36) (dual of [182, 120, 37]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2757, 182, F27, 32) (dual of [182, 125, 33]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {5,6,…,36}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2764, 182, F27, 37) (dual of [182, 118, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2755, 182, F27, 31) (dual of [182, 127, 32]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {5,6,…,35}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(274, 11, F27, 4) (dual of [11, 7, 5]-code or 11-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), 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.