Information on Result #895323
Linear OOA(3238, 4194361, F3, 2, 21) (dual of [(4194361, 2), 8388484, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(328, 60, F3, 2, 10) (dual of [(60, 2), 92, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 28, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 14, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- trace code for nets [i] based on digital (4, 14, 30)-net over F9, using
- extracting embedded OOA [i] based on digital (18, 28, 60)-net over F3, using
- linear OOA(3210, 4194301, F3, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 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 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 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(3239, 4194361, F3, 2, 21) (dual of [(4194361, 2), 8388483, 22]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3238, 2097180, F3, 4, 21) (dual of [(2097180, 4), 8388482, 22]-NRT-code) | [i] | OOA Folding | |