Information on Result #1117757
Linear OOA(3197, 1677740, F3, 5, 18) (dual of [(1677740, 5), 8388503, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(317, 20, F3, 5, 9) (dual of [(20, 5), 83, 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, 1677720, F3, 5, 18) (dual of [(1677720, 5), 8388420, 19]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3180, 8388600, F3, 18) (dual of [8388600, 8388420, 19]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- OOA 5-folding [i] based on linear OA(3180, 8388600, F3, 18) (dual of [8388600, 8388420, 19]-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.
Other Results with Identical Parameters
None.
Depending Results
None.