Information on Result #1184480
Digital (233, 250, 2097158)-net over F3, using net defined by OOA based on linear OOA(3250, 2097158, F3, 20, 17) (dual of [(2097158, 20), 41942910, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3250, 4194317, F3, 4, 17) (dual of [(4194317, 4), 16777018, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 4194318, F3, 4, 17) (dual of [(4194318, 4), 16777022, 18]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(38, 18, F3, 4, 5) (dual of [(18, 4), 64, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 8, 18)-net over F3, 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(3166, 2097150, F3, 4, 17) (dual of [(2097150, 4), 8388434, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 4-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-code), using
- linear OOA(38, 18, F3, 4, 5) (dual of [(18, 4), 64, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3250, 4194318, F3, 4, 17) (dual of [(4194318, 4), 16777022, 18]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.