Information on Result #712896
Linear OA(796, 200, F7, 39) (dual of [200, 104, 40]-code), using construction XX applied to C1 = C([22,58]), C2 = C([29,60]), C3 = C1 + C2 = C([29,58]), and C∩ = C1 ∩ C2 = C([22,60]) based on
- 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 = {22,23,…,58}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(770, 171, F7, 32) (dual of [171, 101, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,60}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(785, 171, F7, 39) (dual of [171, 86, 40]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {22,23,…,60}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(767, 171, F7, 30) (dual of [171, 104, 31]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,58}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(710, 25, F7, 6) (dual of [25, 15, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 24 | 72−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), 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.