Information on Result #726606
Linear OA(27100, 782, F27, 42) (dual of [782, 682, 43]-code), using construction XX applied to C1 = C([724,28]), C2 = C([9,37]), C3 = C1 + C2 = C([9,28]), and C∩ = C1 ∩ C2 = C([724,37]) based on
- linear OA(2762, 728, F27, 33) (dual of [728, 666, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2757, 728, F27, 29) (dual of [728, 671, 30]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {9,10,…,37}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2780, 728, F27, 42) (dual of [728, 648, 43]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,37}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2739, 728, F27, 20) (dual of [728, 689, 21]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {9,10,…,28}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2712, 28, F27, 12) (dual of [28, 16, 13]-code or 28-arc in PG(11,27)), using
- extended Reed–Solomon code RSe(16,27) [i]
- linear OA(278, 26, F27, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,27)), using
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- Reed–Solomon code RS(19,27) [i]
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), 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.