Information on Result #705226
Linear OA(3201, 777, F3, 47) (dual of [777, 576, 48]-code), using construction XX applied to C1 = C([337,380]), C2 = C([334,373]), C3 = C1 + C2 = C([337,373]), and C∩ = C1 ∩ C2 = C([334,380]) based on
- linear OA(3175, 728, F3, 44) (dual of [728, 553, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,380}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3154, 728, F3, 40) (dual of [728, 574, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,373}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3184, 728, F3, 47) (dual of [728, 544, 48]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,380}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3145, 728, F3, 37) (dual of [728, 583, 38]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,373}, and designed minimum distance d ≥ |I|+1 = 38 [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(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.