Information on Result #705755
Linear OA(3240, 775, F3, 59) (dual of [775, 535, 60]-code), using construction XX applied to C1 = C([337,392]), C2 = C([334,385]), C3 = C1 + C2 = C([337,385]), and C∩ = C1 ∩ C2 = C([334,392]) 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 = {337,338,…,392}, 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 = {334,335,…,385}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(3223, 728, F3, 59) (dual of [728, 505, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,392}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(3193, 728, F3, 49) (dual of [728, 535, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,385}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(314, 35, F3, 6) (dual of [35, 21, 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(33, 12, F3, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 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.