Information on Result #1101186
Linear OOA(3242, 2796259, F3, 5, 16) (dual of [(2796259, 5), 13981053, 17]-NRT-code), using OOA 2-folding based on linear OOA(3242, 5592518, F3, 3, 16) (dual of [(5592518, 3), 16777312, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 5592519, F3, 3, 16) (dual of [(5592519, 3), 16777315, 17]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(315, 117, F3, 3, 5) (dual of [(117, 3), 336, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(34, 40, F3, 3, 2) (dual of [(40, 3), 116, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(34, 40, F3, 2, 2) (dual of [(40, 2), 76, 3]-NRT-code), using
- appending kth column [i] based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- appending kth column [i] based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(34, 40, F3, 2, 2) (dual of [(40, 2), 76, 3]-NRT-code), using
- linear OOA(311, 77, F3, 3, 5) (dual of [(77, 3), 220, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 77)-net over F3, using
- linear OOA(34, 40, F3, 3, 2) (dual of [(40, 3), 116, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(376, 2796201, F3, 3, 8) (dual of [(2796201, 3), 8388527, 9]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- linear OOA(315, 117, F3, 3, 5) (dual of [(117, 3), 336, 6]-NRT-code), using
- generalized (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.