Information on Result #726383
Linear OA(2786, 775, F27, 37) (dual of [775, 689, 38]-code), using construction XX applied to C1 = C([726,27]), C2 = C([9,34]), C3 = C1 + C2 = C([9,27]), and C∩ = C1 ∩ C2 = C([726,34]) based on
- linear OA(2757, 728, F27, 30) (dual of [728, 671, 31]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−2,−1,…,27}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2751, 728, F27, 26) (dual of [728, 677, 27]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {9,10,…,34}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−2,−1,…,34}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2738, 728, F27, 19) (dual of [728, 690, 20]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {9,10,…,27}, and designed minimum distance d ≥ |I|+1 = 20 [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(276, 19, F27, 6) (dual of [19, 13, 7]-code or 19-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
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.