Information on Result #726779
Linear OA(27100, 781, F27, 43) (dual of [781, 681, 44]-code), using construction XX applied to C1 = C([722,27]), C2 = C([5,36]), C3 = C1 + C2 = C([5,27]), and C∩ = C1 ∩ C2 = C([722,36]) based on
- linear OA(2765, 728, F27, 34) (dual of [728, 663, 35]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−6,−5,…,27}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2763, 728, F27, 32) (dual of [728, 665, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {5,6,…,36}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2782, 728, F27, 43) (dual of [728, 646, 44]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−6,−5,…,36}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2746, 728, F27, 23) (dual of [728, 682, 24]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {5,6,…,27}, and designed minimum distance d ≥ |I|+1 = 24 [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(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.