Information on Result #1117881
Linear OOA(3227, 1677738, F3, 5, 21) (dual of [(1677738, 5), 8388463, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(317, 18, F3, 5, 10) (dual of [(18, 5), 73, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 17, 18)-net over F3, using
- 1 times m-reduction [i] based on digital (7, 18, 18)-net over F3, using
- extracting embedded OOA [i] based on digital (7, 17, 18)-net over F3, using
- linear OOA(3210, 1677720, F3, 5, 21) (dual of [(1677720, 5), 8388390, 22]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3210, 8388600, F3, 21) (dual of [8388600, 8388390, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- OOA 5-folding [i] based on linear OA(3210, 8388600, F3, 21) (dual of [8388600, 8388390, 22]-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(3227, 838868, F3, 25, 21) (dual of [(838868, 25), 20971473, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |