Information on Result #713888
Linear OA(798, 383, F7, 33) (dual of [383, 285, 34]-code), using construction XX applied to C1 = C([29,56]), C2 = C([35,61]), C3 = C1 + C2 = C([35,56]), 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(770, 342, F7, 27) (dual of [342, 272, 28]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,61}, and designed minimum distance d ≥ |I|+1 = 28 [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(757, 342, F7, 22) (dual of [342, 285, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,56}, and designed minimum distance d ≥ |I|+1 = 23 [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.