Information on Result #1183710
Digital (116, 128, 1398104)-net over F3, using net defined by OOA based on linear OOA(3128, 1398104, F3, 15, 12) (dual of [(1398104, 15), 20971432, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3128, 2796209, F3, 3, 12) (dual of [(2796209, 3), 8388499, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3128, 2796210, F3, 3, 12) (dual of [(2796210, 3), 8388502, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(38, 9, F3, 3, 6) (dual of [(9, 3), 19, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 8, 9)-net over F3, using
- 1 times m-reduction [i] based on digital (2, 9, 9)-net over F3, using
- extracting embedded OOA [i] based on digital (2, 8, 9)-net over F3, using
- linear OOA(3120, 2796201, F3, 3, 12) (dual of [(2796201, 3), 8388483, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- linear OOA(38, 9, F3, 3, 6) (dual of [(9, 3), 19, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3128, 2796210, F3, 3, 12) (dual of [(2796210, 3), 8388502, 13]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.