Information on Result #1117041
Linear OOA(391, 2099336, F3, 5, 8) (dual of [(2099336, 5), 10496589, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(315, 2186, F3, 5, 4) (dual of [(2186, 5), 10915, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(315, 2186, F3, 4, 4) (dual of [(2186, 4), 8729, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(315, 2186, F3, 3, 4) (dual of [(2186, 3), 6543, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 15, 2186)-net over F3, using
- appending kth column [i] based on linear OOA(315, 2186, F3, 3, 4) (dual of [(2186, 3), 6543, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(315, 2186, F3, 4, 4) (dual of [(2186, 4), 8729, 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.