Information on Result #1184576
Digital (179, 197, 932073)-net over F3, using net defined by OOA based on linear OOA(3197, 932073, F3, 21, 18) (dual of [(932073, 21), 19573336, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3197, 2796220, F3, 3, 18) (dual of [(2796220, 3), 8388463, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3197, 2796221, F3, 3, 18) (dual of [(2796221, 3), 8388466, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(317, 20, F3, 3, 9) (dual of [(20, 3), 43, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 17, 20)-net over F3, using
- 3 times m-reduction [i] based on digital (8, 20, 20)-net over F3, using
- extracting embedded OOA [i] based on digital (8, 17, 20)-net over F3, using
- linear OOA(3180, 2796201, F3, 3, 18) (dual of [(2796201, 3), 8388423, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- linear OOA(317, 20, F3, 3, 9) (dual of [(20, 3), 43, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3197, 2796221, F3, 3, 18) (dual of [(2796221, 3), 8388466, 19]-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.