Information on Result #726444
Linear OA(2787, 772, F27, 38) (dual of [772, 685, 39]-code), using construction XX applied to C1 = C([724,27]), C2 = C([7,33]), C3 = C1 + C2 = C([7,27]), and C∩ = C1 ∩ C2 = C([724,33]) based on
- linear OA(2761, 728, F27, 32) (dual of [728, 667, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,27}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2753, 728, F27, 27) (dual of [728, 675, 28]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,33}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,33}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2742, 728, F27, 21) (dual of [728, 686, 22]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,27}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2710, 28, F27, 10) (dual of [28, 18, 11]-code or 28-arc in PG(9,27)), using
- extended Reed–Solomon code RSe(18,27) [i]
- linear OA(275, 16, F27, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), 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.