Information on Result #726523
Linear OA(2793, 783, F27, 39) (dual of [783, 690, 40]-code), using construction XX applied to C1 = C([726,27]), C2 = C([9,36]), C3 = C1 + C2 = C([9,27]), and C∩ = C1 ∩ C2 = C([726,36]) 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(2755, 728, F27, 28) (dual of [728, 673, 29]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {9,10,…,36}, and designed minimum distance d ≥ |I|+1 = 29 [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 = {−2,−1,…,36}, 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(2711, 30, F27, 10) (dual of [30, 19, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2711, 38, F27, 10) (dual of [38, 27, 11]-code), using
- extended algebraic-geometric code AGe(F,27P) [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(2711, 38, F27, 10) (dual of [38, 27, 11]-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.