Information on Result #1184316
Digital (220, 236, 2097163)-net over F3, using net defined by OOA based on linear OOA(3236, 2097163, F3, 20, 16) (dual of [(2097163, 20), 41943024, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3236, 4194327, F3, 4, 16) (dual of [(4194327, 4), 16777072, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3236, 4194328, F3, 4, 16) (dual of [(4194328, 4), 16777076, 17]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(39, 28, F3, 4, 5) (dual of [(28, 4), 103, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 9, 28)-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(3151, 2097150, F3, 4, 16) (dual of [(2097150, 4), 8388449, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- OOA 4-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
- linear OOA(39, 28, F3, 4, 5) (dual of [(28, 4), 103, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3236, 4194328, F3, 4, 16) (dual of [(4194328, 4), 16777076, 17]-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.