Information on Result #726582
Linear OA(2797, 780, F27, 41) (dual of [780, 683, 42]-code), using construction XX applied to C1 = C([723,27]), C2 = C([7,35]), C3 = C1 + C2 = C([7,27]), and C∩ = C1 ∩ C2 = C([723,35]) based on
- linear OA(2763, 728, F27, 33) (dual of [728, 665, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,27}, 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 = {7,8,…,35}, 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 = {−5,−4,…,35}, and designed minimum distance d ≥ |I|+1 = 42 [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(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(277, 22, F27, 7) (dual of [22, 15, 8]-code or 22-arc in PG(6,27)), using
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- Reed–Solomon code RS(20,27) [i]
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), 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.