Information on Result #1081256
Linear OOA(3243, 4194319, F3, 4, 16) (dual of [(4194319, 4), 16777033, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(381, 2097158, F3, 4, 8) (dual of [(2097158, 4), 8388551, 9]-NRT-code), using
- (u, u+v)-construction [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
- 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(35, 8, F3, 4, 4) (dual of [(8, 4), 27, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3162, 2097161, F3, 4, 16) (dual of [(2097161, 4), 8388482, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(311, 11, F3, 4, 8) (dual of [(11, 4), 33, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 11, 11)-net over F3, 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(311, 11, F3, 4, 8) (dual of [(11, 4), 33, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
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.