Information on Result #725354
Linear OA(27110, 207, F27, 62) (dual of [207, 97, 63]-code), using construction XX applied to C1 = C([6,62]), C2 = C([1,55]), C3 = C1 + C2 = C([6,55]), and C∩ = C1 ∩ C2 = C([1,62]) based on
- linear OA(2794, 182, F27, 57) (dual of [182, 88, 58]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {6,7,…,62}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(2791, 182, F27, 55) (dual of [182, 91, 56]-code), using the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(27100, 182, F27, 62) (dual of [182, 82, 63]-code), using the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(2785, 182, F27, 50) (dual of [182, 97, 51]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {6,7,…,55}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(276, 15, F27, 6) (dual of [15, 9, 7]-code or 15-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- linear OA(274, 10, F27, 4) (dual of [10, 6, 5]-code or 10-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
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.