Information on Result #726664
Linear OA(2798, 779, F27, 42) (dual of [779, 681, 43]-code), using construction XX applied to C1 = C([723,28]), C2 = C([7,36]), C3 = C1 + C2 = C([7,28]), and C∩ = C1 ∩ C2 = C([723,36]) based on
- linear OA(2764, 728, F27, 34) (dual of [728, 664, 35]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,28}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2759, 728, F27, 30) (dual of [728, 669, 31]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,36}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2780, 728, F27, 42) (dual of [728, 648, 43]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2743, 728, F27, 22) (dual of [728, 685, 23]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,28}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2711, 28, F27, 11) (dual of [28, 17, 12]-code or 28-arc in PG(10,27)), using
- extended Reed–Solomon code RSe(17,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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.