Information on Result #712905
Linear OA(785, 182, F7, 37) (dual of [182, 97, 38]-code), using construction XX applied to C1 = C([168,32]), C2 = C([1,33]), C3 = C1 + C2 = C([1,32]), and C∩ = C1 ∩ C2 = C([168,33]) based on
- linear OA(779, 171, F7, 36) (dual of [171, 92, 37]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−3,−2,…,32}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(775, 171, F7, 33) (dual of [171, 96, 34]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(782, 171, F7, 37) (dual of [171, 89, 38]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(772, 171, F7, 32) (dual of [171, 99, 33]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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.