Information on Result #713045
Linear OA(7109, 196, F7, 45) (dual of [196, 87, 46]-code), using construction XX applied to C1 = C([164,35]), C2 = C([0,37]), C3 = C1 + C2 = C([0,35]), and C∩ = C1 ∩ C2 = C([164,37]) based on
- linear OA(794, 171, F7, 43) (dual of [171, 77, 44]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,35}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(785, 171, F7, 38) (dual of [171, 86, 39]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(7100, 171, F7, 45) (dual of [171, 71, 46]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,37}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(779, 171, F7, 36) (dual of [171, 92, 37]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(78, 18, F7, 6) (dual of [18, 10, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(78, 19, F7, 6) (dual of [19, 11, 7]-code), using
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [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.