Information on Result #1183848
Digital (117, 130, 1398106)-net over F3, using net defined by OOA based on linear OOA(3130, 1398106, F3, 15, 13) (dual of [(1398106, 15), 20971460, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3130, 2796213, F3, 3, 13) (dual of [(2796213, 3), 8388509, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3130, 2796214, F3, 3, 13) (dual of [(2796214, 3), 8388512, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(39, 13, F3, 3, 6) (dual of [(13, 3), 30, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 9, 13)-net over F3, using
- linear OOA(3121, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, 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(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- linear OOA(39, 13, F3, 3, 6) (dual of [(13, 3), 30, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3130, 2796214, F3, 3, 13) (dual of [(2796214, 3), 8388512, 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.