Information on Result #726879
Linear OA(27105, 783, F27, 45) (dual of [783, 678, 46]-code), using construction XX applied to C1 = C([720,27]), C2 = C([3,36]), C3 = C1 + C2 = C([3,27]), and C∩ = C1 ∩ C2 = C([720,36]) based on
- linear OA(2769, 728, F27, 36) (dual of [728, 659, 37]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−8,−7,…,27}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2767, 728, F27, 34) (dual of [728, 661, 35]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,36}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2786, 728, F27, 45) (dual of [728, 642, 46]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−8,−7,…,36}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(2750, 728, F27, 25) (dual of [728, 678, 26]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,27}, and designed minimum distance d ≥ |I|+1 = 26 [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.