Information on Result #705741
Linear OA(3244, 781, F3, 59) (dual of [781, 537, 60]-code), using construction XX applied to C1 = C([309,364]), C2 = C([316,367]), C3 = C1 + C2 = C([316,364]), and C∩ = C1 ∩ C2 = C([309,367]) based on
- linear OA(3214, 728, F3, 56) (dual of [728, 514, 57]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,364}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {316,317,…,367}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(3226, 728, F3, 59) (dual of [728, 502, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {309,310,…,367}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(3190, 728, F3, 49) (dual of [728, 538, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {316,317,…,364}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(314, 37, F3, 6) (dual of [37, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-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.