Information on Result #1101179
Linear OOA(3234, 2796206, F3, 5, 16) (dual of [(2796206, 5), 13980796, 17]-NRT-code), using OOA 2-folding based on linear OOA(3234, 5592412, F3, 3, 16) (dual of [(5592412, 3), 16777002, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3234, 5592413, F3, 3, 16) (dual of [(5592413, 3), 16777005, 17]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(37, 11, F3, 3, 5) (dual of [(11, 3), 26, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 7, 11)-net over F3, using
- 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(37, 11, F3, 3, 5) (dual of [(11, 3), 26, 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.