Information on Result #726591
Linear OA(2798, 783, F27, 41) (dual of [783, 685, 42]-code), using construction XX applied to C1 = C([724,27]), C2 = C([8,36]), C3 = C1 + C2 = C([8,27]), and C∩ = C1 ∩ C2 = C([724,36]) 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(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 = {8,9,…,36}, and designed minimum distance d ≥ |I|+1 = 30 [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 = {−4,−3,…,36}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2740, 728, F27, 20) (dual of [728, 688, 21]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,27}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2712, 30, F27, 11) (dual of [30, 18, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2712, 38, F27, 11) (dual of [38, 26, 12]-code), using
- extended algebraic-geometric code AGe(F,26P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2712, 38, F27, 11) (dual of [38, 26, 12]-code), using
- linear OA(278, 25, F27, 8) (dual of [25, 17, 9]-code or 25-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.