Information on Result #726010
Linear OA(2771, 771, F27, 30) (dual of [771, 700, 31]-code), using construction XX applied to C1 = C([7,29]), C2 = C([0,19]), C3 = C1 + C2 = C([7,19]), and C∩ = C1 ∩ C2 = C([0,29]) based on
- linear OA(2745, 728, F27, 23) (dual of [728, 683, 24]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,29}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2739, 728, F27, 20) (dual of [728, 689, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2756, 728, F27, 30) (dual of [728, 672, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2726, 728, F27, 13) (dual of [728, 702, 14]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,19}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(279, 26, F27, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,27)), using
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- Reed–Solomon code RS(18,27) [i]
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- linear OA(276, 17, F27, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), 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.