Information on Result #726670
Linear OA(27100, 784, F27, 42) (dual of [784, 684, 43]-code), using construction XX applied to C1 = C([724,27]), C2 = C([8,37]), C3 = C1 + C2 = C([8,27]), and C∩ = C1 ∩ C2 = C([724,37]) based on
- linear OA(2761, 728, F27, 32) (dual of [728, 667, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,27}, and designed minimum distance d ≥ |I|+1 = 33 [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(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 = {−4,−3,…,37}, and designed minimum distance d ≥ |I|+1 = 43 [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(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(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.