Information on Result #713777
Linear OA(7108, 397, F7, 34) (dual of [397, 289, 35]-code), using construction XX applied to C1 = C([43,71]), C2 = C([38,61]), C3 = C1 + C2 = C([43,61]), and C∩ = C1 ∩ C2 = C([38,71]) based on
- linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {43,44,…,71}, and designed minimum distance d ≥ |I|+1 = 30 [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(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,71}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(749, 342, F7, 19) (dual of [342, 293, 20]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {43,44,…,61}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(714, 34, F7, 9) (dual of [34, 20, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(714, 48, F7, 9) (dual of [48, 34, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(714, 48, F7, 9) (dual of [48, 34, 10]-code), using
- linear OA(76, 21, F7, 4) (dual of [21, 15, 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.