Information on Result #726458
Linear OA(2793, 780, F27, 39) (dual of [780, 687, 40]-code), using construction XX applied to C1 = C([725,27]), C2 = C([9,35]), C3 = C1 + C2 = C([9,27]), and C∩ = C1 ∩ C2 = C([725,35]) based on
- linear OA(2759, 728, F27, 31) (dual of [728, 669, 32]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,27}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2753, 728, F27, 27) (dual of [728, 675, 28]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {9,10,…,35}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2774, 728, F27, 39) (dual of [728, 654, 40]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,35}, and designed minimum distance d ≥ |I|+1 = 40 [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(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.