Information on Result #1119305
Linear OOA(3209, 3355805, F3, 5, 14) (dual of [(3355805, 5), 16778816, 15]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(312, 365, F3, 5, 4) (dual of [(365, 5), 1813, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(312, 365, F3, 4, 4) (dual of [(365, 4), 1448, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(312, 365, F3, 3, 4) (dual of [(365, 3), 1083, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 12, 365)-net over F3, using
- appending kth column [i] based on linear OOA(312, 365, F3, 3, 4) (dual of [(365, 3), 1083, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(312, 365, F3, 4, 4) (dual of [(365, 4), 1448, 5]-NRT-code), using
- linear OOA(361, 1677720, F3, 5, 7) (dual of [(1677720, 5), 8388539, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(361, 2796200, F3, 5, 7) (dual of [(2796200, 5), 13980939, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(361, 8388601, F3, 7) (dual of [8388601, 8388540, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(361, 8388601, F3, 7) (dual of [8388601, 8388540, 8]-code), using
- discarding factors / shortening the dual code based on linear OOA(361, 2796200, F3, 5, 7) (dual of [(2796200, 5), 13980939, 8]-NRT-code), using
- linear OOA(3136, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388464, 15]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- OOA 5-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-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.