Information on Result #725233
Linear OA(2779, 195, F27, 44) (dual of [195, 116, 45]-code), using construction XX applied to C1 = C([0,42]), C2 = C([5,43]), C3 = C1 + C2 = C([5,42]), and C∩ = C1 ∩ C2 = C([0,43]) based on
- linear OA(2773, 182, F27, 43) (dual of [182, 109, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2768, 182, F27, 39) (dual of [182, 114, 40]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {5,6,…,43}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2775, 182, F27, 44) (dual of [182, 107, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2766, 182, F27, 38) (dual of [182, 116, 39]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {5,6,…,42}, and designed minimum distance d ≥ |I|+1 = 39 [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.