Information on Result #705050
Linear OA(3191, 781, F3, 44) (dual of [781, 590, 45]-code), using construction XX applied to C1 = C([331,371]), C2 = C([339,374]), C3 = C1 + C2 = C([339,371]), and C∩ = C1 ∩ C2 = C([331,374]) based on
- linear OA(3160, 728, F3, 41) (dual of [728, 568, 42]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,371}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3145, 728, F3, 36) (dual of [728, 583, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,374}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,374}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3133, 728, F3, 33) (dual of [728, 595, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,371}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(315, 37, F3, 7) (dual of [37, 22, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-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.