Information on Result #726672
Linear OA(27103, 784, F27, 43) (dual of [784, 681, 44]-code), using construction XX applied to C1 = C([723,27]), C2 = C([8,37]), C3 = C1 + C2 = C([8,27]), and C∩ = C1 ∩ C2 = C([723,37]) based on
- linear OA(2763, 728, F27, 33) (dual of [728, 665, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,27}, and designed minimum distance d ≥ |I|+1 = 34 [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 = {8,9,…,37}, and designed minimum distance d ≥ |I|+1 = 31 [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 = {−5,−4,…,37}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2740, 728, F27, 20) (dual of [728, 688, 21]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,27}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2712, 28, F27, 12) (dual of [28, 16, 13]-code or 28-arc in PG(11,27)), using
- extended Reed–Solomon code RSe(16,27) [i]
- linear OA(279, 28, F27, 9) (dual of [28, 19, 10]-code or 28-arc in PG(8,27)), using
- extended Reed–Solomon code RSe(19,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
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.