Information on Result #2798070
Linear OOA(3168, 2097173, F3, 4, 16) (dual of [(2097173, 4), 8388524, 17]-NRT-code), using 31 times duplication based on linear OOA(3167, 2097173, F3, 4, 16) (dual of [(2097173, 4), 8388525, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(314, 22, F3, 4, 8) (dual of [(22, 4), 74, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 14, 22)-net over F3, using
- linear OOA(3153, 2097151, F3, 4, 16) (dual of [(2097151, 4), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3153, 4194302, F3, 2, 16) (dual of [(4194302, 2), 8388451, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3151, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 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 2-folding [i] based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 17]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3151, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3153, 4194302, F3, 2, 16) (dual of [(4194302, 2), 8388451, 17]-NRT-code), using
- linear OOA(314, 22, F3, 4, 8) (dual of [(22, 4), 74, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
None.