Information on Result #726940
Linear OA(27105, 779, F27, 46) (dual of [779, 674, 47]-code), using construction XX applied to C1 = C([720,29]), C2 = C([3,37]), C3 = C1 + C2 = C([3,29]), and C∩ = C1 ∩ C2 = C([720,37]) based on
- 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 = {−8,−7,…,29}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2769, 728, F27, 35) (dual of [728, 659, 36]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,37}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2788, 728, F27, 46) (dual of [728, 640, 47]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−8,−7,…,37}, and designed minimum distance d ≥ |I|+1 = 47 [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 = {3,4,…,29}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2710, 28, F27, 10) (dual of [28, 18, 11]-code or 28-arc in PG(9,27)), using
- extended Reed–Solomon code RSe(18,27) [i]
- linear OA(277, 23, F27, 7) (dual of [23, 16, 8]-code or 23-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.