Information on Result #726644
Linear OA(2793, 773, F27, 41) (dual of [773, 680, 42]-code), using construction XX applied to C1 = C([722,28]), C2 = C([5,34]), C3 = C1 + C2 = C([5,28]), and C∩ = C1 ∩ C2 = C([722,34]) based on
- linear OA(2766, 728, F27, 35) (dual of [728, 662, 36]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−6,−5,…,28}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2759, 728, F27, 30) (dual of [728, 669, 31]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {5,6,…,34}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2778, 728, F27, 41) (dual of [728, 650, 42]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−6,−5,…,34}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2747, 728, F27, 24) (dual of [728, 681, 25]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {5,6,…,28}, and designed minimum distance d ≥ |I|+1 = 25 [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, 17, F27, 5) (dual of [17, 12, 6]-code or 17-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.