Information on Result #726038
Linear OA(2770, 763, F27, 31) (dual of [763, 693, 32]-code), using construction XX applied to C1 = C([0,27]), C2 = C([11,30]), C3 = C1 + C2 = C([11,27]), and C∩ = C1 ∩ C2 = C([0,30]) based on
- linear OA(2753, 728, F27, 28) (dual of [728, 675, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2739, 728, F27, 20) (dual of [728, 689, 21]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {11,12,…,30}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2758, 728, F27, 31) (dual of [728, 670, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2734, 728, F27, 17) (dual of [728, 694, 18]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {11,12,…,27}, and designed minimum distance d ≥ |I|+1 = 18 [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(272, 7, F27, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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.