Information on Result #713053
Linear OA(7104, 193, F7, 44) (dual of [193, 89, 45]-code), using construction XX applied to C1 = C([15,57]), C2 = C([21,58]), C3 = C1 + C2 = C([21,57]), and C∩ = C1 ∩ C2 = C([15,58]) 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 = {15,16,…,57}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(785, 171, F7, 38) (dual of [171, 86, 39]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {21,22,…,58}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(797, 171, F7, 44) (dual of [171, 74, 45]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {15,16,…,58}, and designed minimum distance d ≥ |I|+1 = 45 [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 = {21,22,…,57}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(77, 19, F7, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- 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.