Information on Result #726399
Linear OA(2792, 783, F27, 38) (dual of [783, 691, 39]-code), using construction XX applied to C1 = C([727,27]), C2 = C([11,36]), C3 = C1 + C2 = C([11,27]), and C∩ = C1 ∩ C2 = C([727,36]) based on
- linear OA(2755, 728, F27, 29) (dual of [728, 673, 30]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,27}, and designed minimum distance d ≥ |I|+1 = 30 [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 = {11,12,…,36}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,36}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2734, 728, F27, 17) (dual of [728, 694, 18]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {11,12,…,27}, and designed minimum distance d ≥ |I|+1 = 18 [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.