Information on Result #713613
Linear OA(780, 383, F7, 26) (dual of [383, 303, 27]-code), using construction XX applied to C1 = C([36,56]), C2 = C([42,61]), C3 = C1 + C2 = C([42,56]), and C∩ = C1 ∩ C2 = C([36,61]) based on
- linear OA(754, 342, F7, 21) (dual of [342, 288, 22]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,56}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {42,43,…,61}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,61}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(739, 342, F7, 15) (dual of [342, 303, 16]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {42,43,…,56}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-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) (see above)
- 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.