Information on Result #712984
Linear OA(7110, 205, F7, 44) (dual of [205, 95, 45]-code), using construction XX applied to C1 = C([15,57]), C2 = C([24,58]), C3 = C1 + C2 = C([24,57]), 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(779, 171, F7, 35) (dual of [171, 92, 36]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,…,58}, and designed minimum distance d ≥ |I|+1 = 36 [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(776, 171, F7, 34) (dual of [171, 95, 35]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,…,57}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(713, 31, F7, 8) (dual of [31, 18, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(713, 48, F7, 8) (dual of [48, 35, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(713, 48, F7, 8) (dual of [48, 35, 9]-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.