Information on Result #713773
Linear OA(7104, 395, F7, 33) (dual of [395, 291, 34]-code), using construction XX applied to C1 = C([29,56]), C2 = C([38,61]), C3 = C1 + C2 = C([38,56]), and C∩ = C1 ∩ C2 = C([29,61]) based on
- linear OA(772, 342, F7, 28) (dual of [342, 270, 29]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,56}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(764, 342, F7, 24) (dual of [342, 278, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,61}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(785, 342, F7, 33) (dual of [342, 257, 34]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,61}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(751, 342, F7, 19) (dual of [342, 291, 20]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,56}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(713, 34, F7, 8) (dual of [34, 21, 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(76, 19, F7, 4) (dual of [19, 13, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-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.