Information on Result #1182878
Digital (86, 93, 5858121)-net over F3, using net defined by OOA based on linear OOA(393, 5858121, F3, 9, 7) (dual of [(5858121, 9), 52722996, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(393, 5858122, F3, 3, 7) (dual of [(5858122, 3), 17574273, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(312, 265720, F3, 3, 2) (dual of [(265720, 3), 797148, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(312, 265720, F3, 2, 2) (dual of [(265720, 2), 531428, 3]-NRT-code), using
- appending kth column [i] based on linear OA(312, 265720, F3, 2) (dual of [265720, 265708, 3]-code), using
- Hamming code H(12,3) [i]
- appending kth column [i] based on linear OA(312, 265720, F3, 2) (dual of [265720, 265708, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(312, 265720, F3, 2, 2) (dual of [(265720, 2), 531428, 3]-NRT-code), using
- linear OOA(320, 2796201, F3, 3, 3) (dual of [(2796201, 3), 8388583, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, 3713023, F3, 3, 3) (dual of [(3713023, 3), 11139049, 4]-NRT-code), using
- linear OOA(361, 2796201, F3, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- linear OOA(312, 265720, F3, 3, 2) (dual of [(265720, 3), 797148, 3]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.