Information on Result #1117389
Linear OOA(3129, 1677729, F3, 5, 13) (dual of [(1677729, 5), 8388516, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(38, 9, F3, 5, 6) (dual of [(9, 5), 37, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 8, 9)-net over F3, using
- 1 times m-reduction [i] based on digital (2, 9, 9)-net over F3, using
- extracting embedded OOA [i] based on digital (2, 8, 9)-net over F3, using
- linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-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(3189, 3355458, F3, 5, 13) (dual of [(3355458, 5), 16777101, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3217, 5033187, F3, 5, 13) (dual of [(5033187, 5), 25165718, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |