Information on Result #1094792
Linear OOA(3111, 4195392, F3, 5, 8) (dual of [(4195392, 5), 20976849, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(3111, 4195393, F3, 4, 8) (dual of [(4195393, 4), 16781461, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(37, 1093, F3, 4, 2) (dual of [(1093, 4), 4365, 3]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(37, 1093, F3, 2, 2) (dual of [(1093, 2), 2179, 3]-NRT-code), using
- appending kth column [i] based on linear OA(37, 1093, F3, 2) (dual of [1093, 1086, 3]-code), using
- Hamming code H(7,3) [i]
- appending kth column [i] based on linear OA(37, 1093, F3, 2) (dual of [1093, 1086, 3]-code), using
- appending 2 arbitrary columns [i] based on linear OOA(37, 1093, F3, 2, 2) (dual of [(1093, 2), 2179, 3]-NRT-code), using
- linear OOA(328, 2097150, F3, 4, 4) (dual of [(2097150, 4), 8388572, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(328, 2391484, F3, 4, 4) (dual of [(2391484, 4), 9565908, 5]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(328, 2391485, F3, 2, 4) (dual of [(2391485, 2), 4782942, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 28, 2391485)-net over F3, using
- OOA stacking with additional row [i] based on linear OOA(328, 2391485, F3, 2, 4) (dual of [(2391485, 2), 4782942, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(328, 2391484, F3, 4, 4) (dual of [(2391484, 4), 9565908, 5]-NRT-code), using
- linear OOA(376, 2097150, F3, 4, 8) (dual of [(2097150, 4), 8388524, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- OOA 4-folding [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-code), using
- linear OOA(37, 1093, F3, 4, 2) (dual of [(1093, 4), 4365, 3]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.