Information on Result #1117847
Linear OOA(3214, 1677740, F3, 5, 20) (dual of [(1677740, 5), 8388486, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(318, 20, F3, 5, 10) (dual of [(20, 5), 82, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 18, 20)-net over F3, using
- 2 times m-reduction [i] based on digital (8, 20, 20)-net over F3, using
- extracting embedded OOA [i] based on digital (8, 18, 20)-net over F3, using
- linear OOA(3196, 1677720, F3, 5, 20) (dual of [(1677720, 5), 8388404, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 5-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3214, 838869, F3, 25, 20) (dual of [(838869, 25), 20971511, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |