Information on Result #1188832
Digital (98, 111, 1398116)-net over F5, using net defined by OOA based on linear OOA(5111, 1398116, F5, 15, 13) (dual of [(1398116, 15), 20971629, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(5111, 2796233, F5, 3, 13) (dual of [(2796233, 3), 8388588, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5111, 2796234, F5, 3, 13) (dual of [(2796234, 3), 8388591, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(510, 33, F5, 3, 6) (dual of [(33, 3), 89, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 10, 33)-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(510, 33, F5, 3, 6) (dual of [(33, 3), 89, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(5111, 2796234, F5, 3, 13) (dual of [(2796234, 3), 8388591, 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.