Information on Result #1188830
Digital (97, 110, 1398113)-net over F5, using net defined by OOA based on linear OOA(5110, 1398113, F5, 15, 13) (dual of [(1398113, 15), 20971585, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(5110, 2796227, F5, 3, 13) (dual of [(2796227, 3), 8388571, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5110, 2796228, F5, 3, 13) (dual of [(2796228, 3), 8388574, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(59, 27, F5, 3, 6) (dual of [(27, 3), 72, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 9, 27)-net over F5, using
- linear OOA(5101, 2796201, F5, 3, 13) (dual of [(2796201, 3), 8388502, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- linear OOA(59, 27, F5, 3, 6) (dual of [(27, 3), 72, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(5110, 2796228, F5, 3, 13) (dual of [(2796228, 3), 8388574, 14]-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.