Information on Result #712849
Linear OA(7101, 205, F7, 40) (dual of [205, 104, 41]-code), using construction XX applied to C1 = C([29,67]), C2 = C([28,58]), C3 = C1 + C2 = C([29,58]), and C∩ = C1 ∩ C2 = C([28,67]) based on
- 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 = {29,30,…,67}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(770, 171, F7, 31) (dual of [171, 101, 32]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,58}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(788, 171, F7, 40) (dual of [171, 83, 41]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,67}, and designed minimum distance d ≥ |I|+1 = 41 [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(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.