Information on Result #713150
Linear OA(7109, 182, F7, 48) (dual of [182, 73, 49]-code), using construction XX applied to C1 = C([167,42]), C2 = C([0,43]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([167,43]) based on
- linear OA(7103, 171, F7, 47) (dual of [171, 68, 48]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−4,−3,…,42}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(797, 171, F7, 44) (dual of [171, 74, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(7106, 171, F7, 48) (dual of [171, 65, 49]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−4,−3,…,43}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(794, 171, F7, 43) (dual of [171, 77, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(73, 8, F7, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,7) or 8-cap in PG(2,7)), using
- extended Reed–Solomon code RSe(5,7) [i]
- oval in PG(2, 7) [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.