Information on Result #1117031
Linear OOA(381, 2097158, F3, 5, 8) (dual of [(2097158, 5), 10485709, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(35, 8, F3, 5, 4) (dual of [(8, 5), 35, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(35, 8, F3, 4, 4) (dual of [(8, 4), 27, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(35, 8, F3, 3, 4) (dual of [(8, 3), 19, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 8)-net over F3, using
- appending kth column [i] based on linear OOA(35, 8, F3, 3, 4) (dual of [(8, 3), 19, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(35, 8, F3, 4, 4) (dual of [(8, 4), 27, 5]-NRT-code), using
- linear OOA(376, 2097150, F3, 5, 8) (dual of [(2097150, 5), 10485674, 9]-NRT-code), using
- OA 4-folding and stacking [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
- OA 4-folding and stacking [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-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.